Publications

• Fackeldey K., Krause R., Schweitzer M. (2008) Stability of Energy Transfer in the Weak Coupling Method. Meshfree Methods for Partial Differential Equations IV. Lecture Notes in Computational Science and Engineering. 111-119
• Berrenberg S., Gross C., Krause R. (2008) Numerical Simulation in Biomechanics: A Flexible Approach. 8th World Congress on Computational Mechanics and 5th European Congress on Computational Methods in Applied Sciences and Engineering
• Speck R., Krause R., Gibbon P. (2012) Parallel remeshing in tree codes for vortex particle methods. International Conference on Parallel Computing
• Favino M., Drolshagen M., Bourauel C., Krause R. (2012) A NON-LINEAR BIPHASIC MODEL FOR THE PERIODONTAL LIGAMENT: MODELLING AND SIMULATION. Proceedings of CMBBE2012
• Speck R., Ruprecht D., Krause R., Emmett M., Minion M., Winkel M., Gibbon P. (2012) A massively space-time parallel N-body solver. Proceedings of the Supercomputing Conference 2012. Salt Lake City. 92. IEEE Computer Society Press. ISBN 9781467308045
• Speck R., Ruprecht D., Krause R., Emmett M., Minion M., Winkel M., Gibbon P. (2014) Integrating an N-body problem with SDC and PFASST. Proceedings of the 21st International Conference on Domain Decomposition Methods. Domain Decomposition Methods in Science and Engineering {XXI}. Lecture Notes in Computational Science and Engineering
• Schmitz S., Gottschalk H., Rollmann G., Krause R. (2013) A Probabilistic Approach to Low-Cycle Fatigue. Proceedings of ASME Turbo Expo 2013. ASME
• Favino M., Krause R., Steiner J. (2012) An Efficient Preconditioning Strategy for Schur Complements Arising from Biphasic Models. Biomedical Engineering
• Fackeldey K., Krause D., Krause R. (2011) Numerical validation of a constraints-based multiscale simulation method for solids. Meshfree Methods for Partial Differential Equations V. Lecture Notes in Computational Science and Engineering. 141-154
• Krause R., Krause D. (2011) Parallel Scale-Transfer in Multiscale MD-FE Coupling Using Remote Memory Access. eScience Workshops, IEEE 7th International Conference on E-Science. 66-73
• Potse M., Dickopf T., Krause R., Auricchio A., Prinzen F., Krause D. (2011) Poster: hybrid parallelization of a realistic heart model. SC Companion. 13-14
• Krause R., Steiner J. (2010) Cosserat-Rods and Elastic Bodies: On the Numerical Simulation of a Coupled System. 9th International Symposium on Computer methods in Biomechanics and Biomedical Engineering. CMBBE2010. Valencia, Spain. Arup, Solihull
• Gross C., Krause R., Walloth M. (2009) Nonlinear Decomposition Methods in Elastodynamics. Numerical Mathematics and Advanced Applications. Institute of Computational Science, University of Lugano. 407-415
• Fackeldey K., Krause D., Krause R. (2011) Numerical Validation of Constraints Based Multiscale Methods. Proc. Meshfree Methods for Partial Differential Equations V. Lecture Notes in Computational Science and Engineering 79. 141-154
• Gross C., Krause R. (2009) A Recursive Trust--Region Method for Non-convex Constrained Minimization. Domain Decomposition Methods in Science and Engineering XVIII. Lecture Notes in Computational Science and Engineering. 137-144
• Krause D., Krause R., Fackeldey K. (2009) Weak Coupling Algorithms in Multiscale Simulations. Proceedings of the third Inter. Confer. on Comp. Meth. for Coupled Problems in Science and Engrg.
• Fackeldey K., Krause D., Krause R. (2008) Quadrature and Implementation of the Weak Coupling Method. Proceedings of the fourth Int. Conf. Multiscale Materials Modeling. 62-65
• Benedusi P., Hupp D., Arbenz P., Krause R. (2016) A Parallel Multigrid Solver for Time-periodic Incompressible Navier-Stokes Equations in 3D. Numerical Mathematics and Advanced Applications ENUMATH 2015. ENUMATH 2015. 265-273
• Schneider T., Zulian P., Azadmanesh M. R., Krause R., Hauswirth M. (2015) Vestige: A visualization framework for engineering geometry-related software. 2015 IEEE 3rd Working Conference on Software Visualization (VISSOFT). VISSOFT. 26-35
• Planta C., Vogler D., Nestola M., Zulian P., Krause R. (2018) Variational Parallel Information Transfer between Unstructured Grids in Geophysics-Applications and Solutions Methods. PROCEEDINGS, 43rd Workshop on Geothermal Reservoir Engineering Stanford University. Stanford - USA
• Potse M., Gharaviri A., Pezzuto S., Auricchio A., Krause R., Verheule S., Schotten U. (2018) Anatomically-induced Fibrillation in a 3D model of the Human Atria. Computing in Cardiology
• Nestola M. G. C., Becsek B., Zolfaghari H., Zulian P., Obrist D., Krause R. (2018) An Immersed Boundary Method Based on the L2-Projection Approach. Domain Decomposition Methods in Science and Engineering XXIV. Springer International Publishing. 483-491
• Hunziker J., Favino M., Caspari E., Quintal B., Rubino J. G., Krause R., Holliger K. (2017) Seismic Attenuation in Realistic Fracture Networks. Sixth Biot Conference on Poromechanics. American Society of Civil Engineers
• Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2012) Performance analysis of GPU-based SAR and Interferometric SAR image processing. Proc. of the 4th Asia-Pacific Conference on Synthetic Aperture Radar (APSAR). APSAR. ISBN 978-4-88552-278-9
• Dickopf T., Krause R. (2013) Numerical study of the almost nested case in a multilevel method based on non-nested meshes. Domain Decomposition Methods in Science and Engineering XX. Berlin. Lecture Notes in Computational Science and Engineering. Springer. 551-558
• Dickopf T., Krause R. (2009) Weak information transfer between non-matching warped interfaces. Domain Decomposition Methods in Science and Engineering XVIII. Lecture Notes in Computational Science and Engineering. 283-290
• Schmitz S., Rollmann G., Gottschalk H., Krause R. (2013) Probabilistic Analysis of LCF Crack Initiation Life of a Turbine Blade under Thermomechanical Loading. Proceedings of the Seventh International Conference on Low Cycle Fatigue. ISBN 9783981451627
• Schmitz S., Rollmann G., Gottschalk H., Krause R. (2013) Risk Estimation for LCF Crack Initiation. Proceedings of the ASME Turbo Expo. San Antonio, Texas
• Krause R., Kornhuber R. (2003) On Multigrid Methods for Vector-Valued Allen-Cahn equations. Domain Decomposition Methods in Science and Engineering XIV. National Autonomous University of Mexico (UNAM). 307–-314. ISBN ISBN 970-32-0859-2
• Krause R., Ruprecht D. (2014) Hybrid Space-Time Parallel Solution of Burger's Equation. Domain Decomposition Methods in Science and Engineering XXI. Lecture Notes in Applied and Computational Mechanics. Springer. 647-655
• Krause R., Wolmuth B. (1999) Multigrid Methods for Mortar Finite Elements. Multigrid Methods VI: Proceedings of the Sixth European Multigrid Conference. 136-142. ISBN 978-3540671572
• Krause R. (2007) On the Multiscale Solution of Constrained Minimization Problems. Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering. 93-104. ISBN 978-3-540-75199-1
• Bolten M., Emmet M., Krause R., Ruprecht D., Speck R. (2013) Poster: Extreme-scale Space-time Parallelism. Proceedings of the 2013 Conference on High Performance Computing Networking, Storage and Analysis Companion, SC
• Fackeldey K., Krause R. (2005) Solving Frictional Contact Problems with Multigrid Efficiency. Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering. 547-554
• Fackeldey K., Krause R. (2007) Weak Coupling in Function Space: a Unifying Coupling Approach for Multiscale Simulations. PAMM Proceedings in Applied Mathematics and Mecchanics. 2020113-2020114
• Dutz H., Krause R., Raccanelli A. (2007) A Finite Element Model for the Thermal Transport in Solid Targets. Proceedings of The 17th International Spin Physics Symposium (SPIN2006)
• Kotas P., Croce R., Poletti V., Vondrak V., Krause R. (2016) A Massive Parallel Fast Marching Method. Domain Decomposition Methods in Science and Engineering XXII. Lecture Notes in Computational Science and Engineering. Springer. 311-318
• Bornemann F. A., Krause R. (1998) Classical and Cascadic Multigrid - A Methodologic. Domain Decomposition Methods in Science and Engineering IX. 64-71
• Grasedyck L., Löbbert C., Wittum G., Nägel A., Schulz V., Siebenborn M., Krause R., Küster U., Dick B. (2016) Space and Time Parallel Multigrid for Optimization and Uncertainty Quantification in PDE Simulations. Software for Exascale Computing - SPPEXA 2013-2015. Cham. Lecture Notes in Computational Science and Engineering. Springer International Publishing. 507-523. ISBN 978-3-319-40526-1 978-3-319-40528-5
• Krause R., Zulian P. (2016) A Parallel Multigrid Solver for Time-Periodic Incompressible Navier–Stokes Equations in 3D. Numerical Mathematics and Advanced Applications ‐ ENUMATH 2015. Ankara, Turkey. C307-C333. ISSN 1064-8275, 1095-7197
• Krause R., Krause D., Favino M., Ruprecht D. (2015) Parallel Methods in Cardiac Simulation -- from lightweight adaptivity to Coupled Models. 4th International Conference on Computational and Mathematical Biomedical Engineering - CMBE 2015. CMBE. 684-687. ISSN 2227-3085, 2227-9385
• Benedusi P., Hupp D., Arbenz P., Krause R. (2016) A Parallel Multigrid Solver for Time-Periodic Incompressible Navier–Stokes Equations in 3D. Numerical Mathematics and Advanced Applications ‐ ENUMATH 2015. ENUMATH 2015. Ankara, Turkey. Springer. 265-273
• Dickopf T., Krause R. (2013) Monotone Multigrid Methods Based on Parametric Finite Elements. Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Science and Engineering. Springer Berlin Heidelberg. 321-328
• Becsek B., Zolfaghari H., Nestola M. G. C., Obrist D., Krause R. (2018) Understanding Turbulent Flow issuing from the aortic valve. 5th International Conference on Computational and Mathematical Biomedical Engineering-CMBE2017. CMBE2017. 706-708
• von Planta C., Vogler D., Xiaoqing C., Nestola M. G. C., Zulian P., Saar M. O., Krause R. (2018) Simulating hydro-mechanical processes in rough fractures with a Fluid-Structure Interaction (FSI) approach with a parallel transfer operator. AGU Fall Meeting 2018, Washington, DC, USA
• Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2013) Risk Estimation for LCF Crack Initiation. Proceedings of the ASME Turbo Expo. ASME Turbo Expo
• Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2012) Performance analysis of GPU-based SAR and Interferometric SAR image processing. Proceedings of the 4th Asia-Pacific Conference on Synthetic Aperture Radar (APSAR). APSAR
• Krause R., Sander O. (2005) Fast solving of contact problems on complicated geometries. Domain Decomposition Methods in Science and Engineering {XV}. Domain Decomposition Methods in Science and Engineering. Lecture Notes in Computational Science and Engineering 40. 495-502
• Zulian P., Nestola M. G. C., von Planta C., Krause R. (2017) Contact, Fluid Structure Interaction and Variational Transfer. Proceedings of the 7th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. 7th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. Stuttgart
• Becsek B., Zolfaghari H., Nestola M. G. C., Krause R., Obrist D. (2017) Viscoelastic computational modeling of the human head-neck system: Eigenfrequencies and time-dependent analysisUnderstanding Turbulent Flow issuing from the aortic valve} 5th International Conference on Computational and Mathematical Biomedical Engineering. 5th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2017. CMBE2017. Pittsburgh
• von Planta C., Vogler D., Nestola M. G. C., Zulian P., Krause R. (2018) Variational Parallel Information Transfer between Unstructured Grids in Geophysics - Applications and Solutions Methods. Proceedings,43rd Workshop on Geothermal Reservoir Engineering Stanford University. 43rd Workshop on Geothermal Reservoir Engineering Stanford University. Stanford University
• HASSANJANIKHOSHKROUD N., Nestola M. G. C., Zulian P., von Planta C., Vogler D., Köstler H., Krause R. (2020) Thermo-Fluid-Structure Interaction Based on the Fictitious Domain Method: Application to Dry Rock Simulation. Proceedings,45rd Workshop on Geothermal Reservoir Engineering Stanford University. 45rd Workshop on Geothermal Reservoir Engineering. Stanford University
• Gaedke-Merzhäuser L., Kopanicakova A., Krause R. (2021) Multilevel Minimization for Deep Residual Networks. FSG'19. FSG. ---. ICML
• Kothari H., Krause R. (2021) Multigrid and saddle-point preconditioners for unfitted finite element modelling of inclusions. 14th WCCM-ECCOMAS Congress 2020. WCCM-ECCOMAS2020. virtual congress
• Bilgen C., Kopanicakova A., Krause R., Weinberg K. (2017) A phase-field approach to pneumatic fracture. PAMM. ---. ---. Proc. Appl. Math. Mech
• Bilgen C., Kopanicakova A., Krause R., Kerstin W. (2020) A phase-field approach to pneumatic fracture.. PAMM. ---. __. Proc. Appl. Math. Mech
• Braglia V., Kopanicakova A., Krause R. (2020) A Multilevel Approach to Training. ICML 2020 Workshop: Beyond First Order Methods in Machine Learning. ICML. Viena
• Kothari H., Kopanicakova A., Krause R. (2023) A Multigrid Preconditioner for Jacobian-free Newton-Krylov Methods. Domain Decomposition Methods in Science and Engineering XXVI. 26th Domain Decomposition Conference. Hong Kong, China. Springer. 343-350

• Krause R. (1996) Über die Konvergenz des kaskadischen Mehrgitterverfahrens. Freie Universität Berlin, Fachbereich Mathematik und Informatik
• Dickopf T., Gander M. J., Halpern L., Krause R., Pavarino L. F. (2016) Domain Decomposition Methods in Science and Engineering XXII. Lecture Notes in Science and Engineering. Springer. ISBN 3319188275, 9783319188270
• Krause R. (2001) Monotone Multigrid Methods for Signorini's Problem with Friction. Freie Universität Berlin, Fachbereich Mathematik und Informatik
• Krause R., Zulian P. (2016) Domain Decomposition Methods in Science and Engineering XXII. Springer

• Grillo A., Giverso C., Favino M., Krause R., Lampe M., Wittum G. (2012) Mass Transport in Porous Media With Variable Mass. Advanced Structured Materials. Springer Berlin Heidelberg. 27-61. ISBN 9783642305313
• Gross C., Krause R., Poletti V. (2013) A Numerical Remark on the Time Discretization of Contact Problems in Nonlinear Elasticity. Numerical Mathematics and Advanced Applications 2011. Springer Berlin Heidelberg. 165-173. ISBN 978-3-642-33133-6
• Krause D., Potse M., Dickopf T., Krause R., Auricchio A., Prinzen F. (2012) Hybrid Parallelization of a Large-Scale Heart Model. Facing the Multicore - Challenge II. Lecture Notes in Computer Science. Springer Berlin Heidelberg. 120-132. ISBN 978-3-642-30396-8
• Potse M., Dickopf T., Krause R., Auricchio A., Prinzen F., Krause D. (2012) Hybrid parallelization of a realistic heart model. Facing the Multicore-Challenge II. Lecture Notes in Computer Science. Springer. 13-14
• Dickopf T., Krause R. (2010) A study of prolongation operators between non-nested meshes. Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering. Springer. 343-350
• Grasedyck L., Löbbert C., Wittum G., Nägel A., Schulz V., Siebenborn M., Krause R., Benedusi P., Küster U., Dick B. (2016) Space and Time Parallel Multigrid for Optimization and Uncertainty Quantification in PDE Simulations. Software for Exascale Computing-SPPEXA 2013-2015. Springer. 507-523
• Krause R. (2006) From inexact active set strategies to nonlinear multigrid methods. Lecture Notes in Applied and Computational Mechanics. Springer. 13-21. ISBN 978-3-540-31761-6
• Krause D., Fackeldey K., Krause R. (2014) A Parallel Multiscale Simulation Toolbox for Coupling Molecular Dynamics and Finite Elements. Singular Phenomena and Scaling in Mathematical Models. Springer International Publishing. 327-346. ISBN 978-3-319-00785-4

• Kothari H., Kopanicakova A., Krause R. (2024) Nonlinear Schwarz preconditioning for nonlinear optimization problems with bound constraints. Domain Decomposition Methods in Science and Engineering XXVII. Domain Decomposition Methods in Science and Engineering XXVII. 319-326. ISBN 9783031507687

• Kornhuber R., Krause R., Sander O., Deuflhard P., Ertel S. (2008) A Monotone Multigrid Solver for Two Body Contact Problems in Biomechanics. Computing and Visualization in Science. 11 (1):3-15
• Deuflhard P., Krause R., Ertel S. (2008) A Contact-Stabilized Newmark Method for Dynamical Contact Problems. International Journal for Numerical Methods in Engineering. 73 (9):1274-1290
• Papadopoulou K., Keilig L., Eliades T., Krause R., Jäger A., Bourauel C. (2011) The time-dependent biomechanical behaviour of the periodontal ligament - an in vitro experimental study in minipig mandibular two-rooted premola. The European Journal of Orthodontics. 36 (1):9-15. ISSN 0141-5387
• Bacharova L., Mateasik A., Krause R., Prinzen F., Auricchio A., Potse M. (2011) The effect of reduced intercellular coupling on electrocardiographic signs of left ventricular hypertrophy. J. Electrocardiol.. 44 (5):571-576
• Drolshagen M., Keilig L., Hasan I., Reimann S., Deschner J., Brinkmann K., Krause R., Favino M., Bourauel C. (2011) Development of a novel intraoral measurement device to determine the biomechanical characteristics of the human periodontal ligament.. Journal of Biomechanics. 44 (11):2136-2143
• Fackeldey K., Krause R., Krause D., Lenzen C. (2011) Coupling Molecular Dynamics and Continua with Weak Constraints. Multiscale Modeling \& Simulation. 9 (4):1459-1494
• Potse M., Krause D., Bacharova L., Krause R., Prinzen F., Auricchio A. (2012) Similarities and differences between electrocardiogram signs of left bundle-branch block and left-ventricular uncoupling. Europace. 14 (suppl 5):v33-v39
• Winkel M., Speck R., Huebner H., Arnold L., Krause R., Gibbon P. (2012) A massively parallel, multi-disciplinary Barnes-Hut tree code for extreme-scale N-body simulations. Computer Physics Communications. 183 (4):880-889. ISSN 0010-4655
• Dickopf T., Krause D., Krause R., Potse M. (2014) Design and Analysis of a Lightweight Parallel Adaptive Scheme for the Solution of the Monodomain Equation. SIAM Journal on Scientific Computing. 36 (2):163-189
• Dickopf T., Krause R. (2014) Evaluating local approximations of the L2-orthogonal projection between non-nested finite element spaces. Numerical Mathematics: Theory, Methods, and Applications. 7 (3):288-316
• Ruprecht D., Krause R. (2012) Explicit Parallel-in-time Integration of a Linear Acoustic-Advection System. Computers \& Fluids. 72-83
• Krause R., Veeser A., Walloth M. (2015) An efficient and reliable residual-type a posteriori error estimator for the Signorini problem. Numerische Mathematik. 130 (1):151-197. ISSN 0945-3245
• Krause R., Walloth M. (2012) Presentation and Comparison of Selected Algorithms for Dynamic Contact Based on the Newmark Scheme. Applied Numerical Mathematics. 62 (10):1393-1410
• Krause R., Walloth M. (2011) A family of space-time connecting discretization schemes for elastodynamic contact problems with local impact detection. Computer Methods in Applied Mechanics and Engineering. 200 (1):3425-3438
• Gross C., Krause R., Steiner J. (2010) Heterogeneous Coupling: A Comparison of two Approaches for the Modeling of thin Structures. PAMM. 10 (1):649-650. ISSN 1617-7061
• Dickopf T., Krause R. (2009) Efficient simulation of multi-body contact problems on complex geometries: A flexible decomposition approach using constrained minimization. International Journal for Numerical Methods in Engineering. 77 (13):1834-1862
• Fackeldey K., Krause R. (2009) Multiscale Coupling in Function Space - Weak Coupling between Molecular Dynamics and Continuum Mechanics. Int. J. Numer. Meth. Engng. 79 (12):1517-1535
• Krause R. (2009) A Non-Smooth Multiscale Method for Solving Frictional Two-Body Contact Problems in 2D and 3D with Multigrid Efficiency. SIAM Journal on Scientific Computing. 31 (2):1399-1423
• Gross C., Krause R. (2009) On the Convergence of Recursive Trust--Region Methods for Multiscale Non-linear Optimization and Applications to Non-linear Mechanics. SIAM J. Numer. Anal.. 47 (4):3044-3069
• Krause R., Walloth M. (2009) A Time Discretization Scheme Based on Rothe's Method for Dynamical Contact Problems with Friction. Computer Methods in Applied Mechanics and Engineering. 199 (1-4):1-19
• Fackeldey K., Krause R. (2008) CM/MD Coupling - A Function Space Oriented Multiscale-Coupling Approach. PAMM
• Arbenz P., Grigori L., Krause R., Schenk O. (2016) Special issue on Parallel Matrix Algorithms and Applications (PMAA'14). Parallel Computing. 99-100
• Arbenz P., Grigori L., Krause R., Schenk O. (2015) Special issue on Parallel Matrix Algorithms and Applications (PMAA'14). Parallel Computing. 135-136
• Li X., Benedusi P., Krause R. (2016) An Iterative Approach for Time Integration Based on Discontinuous Galerkin Methods. Math. of Comp
• Kreienbuehl A., Benedusi P., Ruprecht D., Krause R. (2017) Time--parallel Gravitational Collapse Simulation. Communications in Applied Mathematics and Computational Science. 12 (1):109-128
• Zulian P., Schneider T., Hormann K., Krause R. (2017) Parametric finite elements with bijective mappings. BIT Numerical Mathematics. 57 (4):1185-1203
• Pezzuto S., Kal'avský P., Potse M., Prinzen F., Auricchio A., Krause R. (2017) Evaluation of a Rapid Anisotropic Model for ECG Simulation. Frontiers in Physiology. ISSN 1664-042X. ISBN 1664-042X
• Favino M., Pozzi S., Pezzuto S., Prinzen F., Auricchio A., Krause R. (2016) Impact of mechanical deformation on pseudo-ECG: a simulation study. EP Europace. 18 (4):iv77-iv84. ISSN 1099-5129
• Land S., Gurev V., Arens S., Augustin C. M., Baron L., Blake R., Bradley C., Castro S., Crozier A., Favino M., Fastl T. E., Fritz T., Gao H., Gizzi A., Griffith B. E., Hurtado D. E., Krause R., Luo X., Nash M. P., Pezzuto S., Plank G., Rossi S., Ruprecht D., Seemann G., Smith N. P., Sundnes J., Rice J. J., Trayanova N., Wang D., Jenny Wang Z., Niederer S. A. (2015) Verification of cardiac mechanics software: benchmark problems and solutions for testing active and passive material behaviour. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science. ISSN 1364-5021
• Quaglino A., Pezzuto S., Koutsourelakis P. S., Auricchio A., Krause R. (2018) Fast uncertainty quantification of activation sequences in patient-specific cardiac electrophysiology meeting clinical time constraints. International Journal for Numerical Methods in Biomedical Engineering. ISSN 20407939
• Byshkin M., Mira A., Stivala A., Krause R., Robins G., Lomi A. (2016) Auxiliary Parameter Markov Chain Monte Carlo for Exponential Random Graph Models. Journal of Statistical Physics. 740-754
• Kopaničáková A., Krause R. (2019) Recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture.. Submitted to Computer Methods in Applied Mechanics and Engineering
• Kopaničáková A., Tamstorf R., Krause R. (2019) Subdivision-based nonlinear multiscale cloth simulation. Accepted in SISC, SIAM JOURNAL for Scientific Computing. S433-S461
• Pizzagalli D. U., Gonzalez S. F., Krause R. (2019) A trainable clustering algorithm based on shortest paths from density peaks. Science Advances. 5 (10):---
• Nestola M. G. C., Zulian P., Gaedke-Merzhäuser L., Krause R. (2019) An embedded formulation for fluid-structure interaction with contact. Computational Mechanics. submitted-submitted
• Nguyen U. C., Potse M., Vernooy K., Mafi-Rad M., Heijman J., Caputo M. L., Conte G., Regoli F., Krause R., Moccetti T., Auricchio A., Prinzen F. W., Maffessanti F. (2018) A left bundle branch block activation sequence and ventricular pacing influence voltage amplitudes: an in vivo and in silico study.. EP Europace. 20 (3):iii77-iii86. ISSN 1532-2092 (Electronic)
• Arteaga A., Ruprecht D., Krause R. (2015) A stencil-based implementation of Parareal in the C++ domain specific embedded language STELLA. Applied Mathematics and Computation. 727-741. ISSN 0096-3003
• Speck R., Ruprecht D., Emmett M., Minion M., Bolten M., Krause R. (2015) A multi-level spectral deferred correction method. Bit Numer. Math.. 55 (3):843-867. ISSN 0006-3835
• Schmitz S., Seibel T., Beck T., Rollmann G., Krause R., Gottschalk H. (2013) A Probabilistic Model for LCF. Computational Materials Science. 584-590
• Krause R., Sander O. (2006) Automatic Construction of Boundary Parametrizations for geometric multigrid solvers. Computing and Visualization in Science. 9 (1):11-22
• Krause R., Mohr C. (2011) Level set based multi-scale methods for large deformation contact problems. Applied Numerical Mathematics. 61 (4):428-442
• Krause R., B.~Wolmuth (2002) A Dirichlet-Neumann Type Algorithm for Contact Problems with Friction. Computing and Visualization in Science. 5 (3):139-148
• Krause R., Wohlmuth B. (2001) Domain Decomposition Methods on Nonmatching Grids and Some Applications to Linear Elasticity Problems. Zeitschrift für angewandte Mathematik und Mechanik (ZAMM). 81 (1):21-24. ISSN 0044-2267
• Krause R., Wohlmuth B. (2000) Nonconforming Domain Decomposition Methods Techniques for Linear Elasticity. East--West Journal of Numerical Mathematics. 8 (3):177-206
• Kornhuber R., Krause R. (2001) Adaptive Multigrid Methods for Signorini's Problem in Linear Elasticity. Computing and Visualization in Science. 9-20
• Kornhuber R., Krause R. (2006) Robust Multigrid Methods for Vector-Valued Allen--Cahn Equations with Logarithmic Free Energy.. Computing and Visualization in Science. 9 (2):103-116
• Deuflhard P., Ertel S., Kornhuber, Krause R., Sander R., Arrigo O. (2006) Patient-specific simulation of dynamic stress distribution in the human knee. Journal of Biomechanics. ISSN 0021-9290
• Deuflhard P., Krause R., Ertel S. (2008) A Contact-Stabilized Newmark Method for Dynamical Contact Problems. International Journal for Numerical Methods in Engineering. 73 (9):1274-1290
• Favino M., Gross C., Drolshagen M., Keilig L., Deschner J., Bourauel C., Krause R. (2013) Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL. Computer Methods in Biomechanics and Biomedical Engineering. 16 (5):544-553
• Keilig L., Drolshagen M., Tran K. L., Hasan I., Reimann S., Deschner J., Brinkmann K. T., Krause R., Favino M., Bourauel C. (2016) In vivo measurements and numerical analysis of the biomechanical characteristics of the human periodontal ligament. Annals of anatomy. 80-88. ISSN 1618-0402
• Badea L., Krause R. (2012) One- and two-level multiplicative Schwarz methods for variational and quasi-variational inequalities of the second kind. Numerische Mathematik. 120 (4):573-599
• Krause R., Walloth M. (2011) A family of space–time connecting discretization schemes with local impact detection for elastodynamic contact problems. Computer Methods in Applied Mechanics and Engineering. 200 (47-48):3425-3438
• Baginski F. E., Croce R., Gillmor S., Krause R. (2014) Numerical investigations of the role of curvature in strong segregation problems on a given surface. Applied Mathematics and Computation. 399-411. ISSN 0096-3003
• Conen L., Dolean V., Krause R., Nataf F. (2014) A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. Journal of Computational and Applied Mathematics. 83-99
• Dickopf T., Krause R. (2013) The influence of boundary approximation on transfer operators between non-nested meshes. PAMM. 13 (1):545-548
• Wohlmuth B., Krause R. (2003) Monotone Methods on Nonmatching Grids for Nonlinear Contact Problems. SIAM Journal on Scientific Computing. 25 (1):324-347
• Krause R., Rigazzi A., Steiner J. (2016) A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems. Computing and Visualization in Science. 18 (1):1-15. ISSN 1432-9360
• Potse M., Krause D., Kroon W., Murzilli R., Muzzarelli S., Regoli F., Caiani E., Prinzen F., Krause R., Auricchio A. (2014) Patient-specific modelling of cardiac electrophysiology in heart-failure patients. EP Europace. 16 (11):iv56-iv61
• Krause R., Barbara~Wohlmuth (2001) A Multigrid Method Based on the Unconstrained Product Space arising from Mortar Finite Element Discretizations. SIAM Journal on Numerical Analysis. 39 (1):192-213
• Favino M., Bourauel C., Krause R. (2016) A nonlinear poroelastic model for the periodontal ligament. International Journal for Computational Methods in Engineering Science and Mechanics. 17 (3):172-181. ISSN 1550-2287
• Conen L., Krause R. (2014) Addendum to "A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator". Journal of Computational and Applied Mathematics. 670-674
• Kroon W., Lumens J., Potse M., Suerder D., Klersy C., Regoli F., Murzilli R., Moccetti T., Delhaas T., Krause R., Prinzen F., Auricchio a. A. (2015) In-vivo Electromechanical Assessment of Heart Failure Patients with Prolonged QRS Duration. Heart Rhythm. 12 (6):1259-1267
• Nguy\haten U. C., Potse M., Regoli F., Caputo M. L., Conte G., Murzilli R., Muzzarelli S., Moccetti T., Prinzen F., Krause R., Auricchio. a. A. (2015) An in-silico analysis of the effect of heart position and orientation on the ECG morphology and vectorcardiogram parameters in patients with heart failure and intraventricular conduction defects. Journal of Electrocardiology. 48 (4):617-625
• Krause R., Müller B. a. (2017) An adaptive least-squares mixed finite eleme. Numerical Methods for Partial Differential Equations. 33 (1):276-289
• Quaglino A., Krause R. (2016) Towards a multigrid method for the minimum-cost flow problem. arXiv preprint
• Favino M., Pozzi S., Pezzuto S., Prinzen F., Auricchio A., Krause R. (2016) Impact of mechanical deformation on pseudo-ECG: a simulation study.. EP Europace. 18 (suppl 4):iv77-iv84. ISSN 1532-2092
• Bilgen C., Kopani\v cáková A., Krause R., Weinberg K. (2017) A phase-field approach to pneumatic fracture. PAMM. 17 (1):71-74
• Hesch C., Schuß S., Dittmann M., Eugster S. R., Favino M., Krause R. (2017) Variational space-time elements for large-scale systems. Computer Methods in Applied Mechanics and Engineering. 541-572
• Maffessanti F., Prinzen W. F., Conte G., Regoli F., Caputo M. L., Suerder D., Moccetti T., Faletra F., Krause R., Auricchio A. (2018) Integrated Assessment of Left Ventricular Electrical Activation and Myocardial Strain Mapping in Heart Failure Patients. JACC Clinical Electrophysiology. 4 (1):138-146
• Krause D., Krause R. (2016) Enabling local time stepping in the parallel implicit solution of reaction{\textendash}diffusion equations via space-time finite elements on shallow tree meshes. Applied Mathematics and Computation. 164-179
• Bilgen C., Kopaničáková A., Krause R., Kerstin W. (2019) A detailed investigation of the model influencing parameters of the phase-field fracture approach.. Accepted in GAMM Mitteilungen. 43 (2):e202000005-e202000005. ISSN 0936-7195, 1522-2608
• Schädle P., Zulian P., Vogler D., Sthavishtha B. R., Nestola M. G. C., Ebigbo A., Krause R., Saar M. O., others (2019) 3D non-conforming mesh model for flow in fractured porous media using Lagrange multipliers. Computers \& Geosciences. 42-55
• von Planta C., Vogler D., Chen X., Nestola M. G. C., Saar M. O., Krause R. (2019) Simulation of hydro-mechanically coupled processes in rough rock fractures using an immersed boundary method and variational transfer operators. Computational Geosciences. 23 (5):1125-1140. ISSN 1573-1499
• Pezzuto S., Gharaviri A., Schotten U., Potse M., Conte G., Caputo M. L., Regoli F., Krause R., Auricchio A. (2018) Beat-to-beat P-wave morphological variability in patients with paroxysmal atrial fibrillation: an in silico study. EP Europace. 20 (suppl\_3):iii26-iii35. ISSN 1099-5129
• Kreienbuehl A., Naegel A., Ruprecht D., Speck R., Wittum G., Krause R. (2015) Numerical simulation of skin transport using Parareal. Computing and Visualization in Science. 17 (2):99-108. ISSN 1432-9360, 1433-0369
• Krause R., Zulian P. (2016) A Parallel Approach to the Variational Transfer of Discrete Fields between Arbitrarily Distributed Unstructured Finite Element Meshes. SIAM Journal on Scientific Computing. 38 (3):C307-C333. ISSN 1064-8275, 1095-7197
• Piazzese C., Carminati M. C., Colombo A., Krause R., Potse M., Auricchio A., Weinert L., Tamborini G., Pepi M., Lang R. M., Caiani E. G. (2016) Segmentation of the left ventricular endocardium from magnetic resonance images by using different statistical shape models. Journal of Electrocardiology. 49 (3):383-391. ISSN 00220736
• Krause R., Zulian P. (2016) A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems. Computing and Visualization in Science. 1-15
• Krause R., Zulian P. (2016) Impact of mechanical deformation on pseudo-ECG: a simulation study.. EP Europace. iv77-iv84
• Krause R., Zulian P. (2016) A {Parallel} {Approach} to theVariational Transfer of Discrete Fields between Arbitrarily Distributed Unstructured Finite Element Meshes. Applied Mathematics and Computation. 164-179
• Nestola M. G. C., Becsek B., Zolfaghari H., Zulian P., De Marinis D., Krause R., Obrist D. (2019) An immersed boundary method for fluid-structure interaction based on variational transfer. Journal of Computational Physics. 108884-108884. ISSN 00219991
• Quaglino A., Pezzuto S., Krause R. (2019) High-dimensional and higher-order multifidelity Monte Carlo estimators. Journal of Computational Physics. 300-315. ISSN 0021-9991
• Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2013) A Probabilistic Model for LCF. Computational Materials Science. 584-590
• Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2013) Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL. Computer Methods in Biomechanics and Biomedical Engineering. 544-553
• Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2013) The influence of boundary approximation on transf. PAMM. 545-548
• Zolfaghari H., Becsek B., Nestola M. G. C., Sawyer W. B., Krause R., Obrist D. (2019) High-order accurate simulation of incompressible turbulent flows on many parallel GPUs of a hybrid-node supercomputer. Computational Physics Communications. 132-142. ISSN 0010-4655
• Schädle P., Zulian P., Sthavishtha R. B., Nestola M. G. C., Vogler D., Anozie E., Krause R., Saar M. O. (2019) 3D non-conforming mesh model for flow in fractured porous media using Lagrange multipliers. Computers & Geosciences. 42-55
• Gharaviri A., Bidar E., Potse M., Zeemering S., Verheule S., Pezzuto S., Krause R., Maessen J. G., Auricchio A., Schotten U. (2020) Epicardial Fibrosis Explains Increased Endo-Epicardial Dissociation and Epicardial Breakthroughs in Human Atrial Fibrillation. Frontiers in Physiology, section Computational Physiology and Medicine. 68--
• Piazzese C., M. Chiara C., Krause R., Auricchio A., Lynn W., Paola G., Gloria T., Gianluca P., Daniele A., Roberto M. L., Mauro P., Enrico G. C. (2020) 3D right ventricular endocardium segmentation in cardiac magnetic resonance images by using a new inter-modality statistical shape modelling method. Biomedical Signal Processing and Control. 58 (101866):---
• Pizzagalli D. U., Latino I., Pulfer A., Palomino-Segura M., Virgilio T., Farsakoglu Y., Krause R., Gonzalez S. F. (2019) Characterization of the dynamic behavior of neutrophils following influenza vaccination. Frontiers in Immunology
• Favino M., Hunziker J., Caspari E., Quintal B., Holliger K., Krause R. (2019) Fully-Automated Adaptive Mesh Refinement for Media Embedding Complex Heterogeneities: Application to Poroelastic Fluid Pressure Diffusion. Computational Geosciences. ---
• von Planta C., Vogler D., Xiaoqing C., Nestola M. G. C., Saar M. O., Krause R. (2020) Modelling of hydro-mechanical processes in heterogeneous fracture intersections using a fictitious domain method with variational transfer operators. Computational Geosciences. ---
• Kopanicakova A., Krause R. (2020) A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture. Computer Methods in Applied Mechanics and Engineering. 360 (1):---
• Osborn S., Zulian P., Benson T., Villa U., Krause R., Vassilevski P. S. (2018) Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes. Numerical Linear Algebra with Applications
• Zulian P., von Planta C., Vogler D., Saar M. O., Krause R. (2020) Contact between Rough Rock Surfaces Using a Dual Mortar Method. International Journal of Rock Mechanics and Mining Sciences
• Donatelli M., Krause R., Mazza M., Trotti K. (2020) Multigrid preconditioners for anisotropic space-fractional diffusion equations. Advances in Computational Mathematics
• Bilgen C., Kopanicakova A., Krause R., Weinberg K. (2017) A phase-field approach to conchoidal fracture. Meccanica. 1-17
• Kopanicakova A., Krause R., Tamstorf R. (2019) Subdivision-Based Nonlinear Multiscale Cloth Simulation. SIAM Journal on Scientific Computing. S433-S461
• Chegini F., Kopanicakova A., Krause R., Weiser M. (2021) Efficient Identification of Scars using Heterogeneous Model Hierarchies. EP Europace. 23 (Supplement\_1):113-122
• Kothari H., Krause R. (2021) A Multigrid Method for a Nitsche-based Extended Finite Element Method. International Journal of Computing and Visualization in Science and Engineering. ISSN 2702-7856
• Gander L., Krause R., Multerer M., Pezzuto S. (2021) Space-time shape uncertainties in the forward and inverse problem of electrocardiography. Numerical Methods in Biomedical Engineering. 37 (10):e3522-e3522
• Kothari H., Krause R. (2022) A Generalized Multigrid Method for Solving Contact Problems in Lagrange Multiplier based Unfitted Finite Element Method. Computer Methods in Applied Mechanics and Engineering. 114630-114630
• Kopanicakova A., Kothari H., Krause R. (2023) Nonlinear Field-Split Preconditioners for Solving Monolithic Phase-field Models of Brittle Fracture. Computer Methods in Applied Mechanics and Engineering. 403 (115733):115733-115733
• Gander L., Pezzuto S., Gharaviri A., Krause R., Perdikaris P., Sahli Costabal F. (2022) Fast characterization of inducible regions of atrial fibrillation models with multi-fidelity Gaussian process classification. Frontiers in Physiology. 757159-757159
• Grandits T., Effland A., Pock T., Krause R., Plank G., Pezzuto S. (2021) GEASI: Geodesic-based Earliest Activation Sites Identification in cardiac models. International Journal for Numerical Methods in Biomedical Engineering. 37 (8):e3505-e3505. ISSN 2040-7939
• Pezzuto S., Prinzen F., Potse M., Maffessanti F., Regoli F. D., Caputo M. L., Conte G., Krause R., Auricchio A. (2021) Reconstruction of three-dimensional biventricular activation based on the 12-lead electrocardiogram via patient-specific modelling. EP Europace. 23 (4):640-647
• Benedusi P., Janett G., Riva S., Krause R., Belluzzi L. (2022) Numerical solutions to linear transfer problems of polarized radiation. III. Parallel preconditioned Krylov solver tailored for modeling PRD effects. Astronomy and Astrophysics
• Benedusi P., Riva S., Zulian P., Štěpán J., Belluzzi L., Krause R. (2023) Scalable matrix-free solver for 3D transfer of polarized radiation in stellar atmospheres. Journal of Computational Physics
• Riva S., Guerreiro N., Janett G., Rossinelli D., Benedusi P., Krause R., Belluzzi L. (2023) Assessment of the CRD approximation for the observer's frame RIII redistribution matrix. Astronomy & Astrophysics

• Croce R., Ruprecht D., Krause R. (2013) Parallel-in-Space-and-Time Simulation of the Three-Dimensional, Unsteady Navier-Stokes Equations for Incompressible Flow. Springer
• Gross C., Krause R. (2009) A new Class of Non--linear Additively Preconditioned Trust--Region Strategies: Convergence Results and Applications to Non-linear Mechanics. Institute for Numerical Simulation, University of Bonn
• Krause R. (2015) Scienze Computazionali - Computational Science at USI. Teleticino
• Krause R. (2009) Swiss TV (SF1 10vor10) reports about CSCS a.
• Krause R., Marci G. (2016) Ticino della Scienza. Il Quotidiano , RSI Radiotelevisione svizzera
• Krause R. (2016) Complex Multiphysics in Cardiac Simulation: From Patient Data via Electro-Mechanical Activation to ECGs.
• Pizzagalli D. U., Farsakoglu Y., Palomino-Segura M., Palladino E., Sintes J., Marangoni F., Mempel T., Koh W. H., Murooka T., Thelen F., Stein J., Pozzi G., Krause R., Gonzalez S. F. (2018) LTDB - Leukocyte Tracking Database. Figshare

• Raccanelli A., Krause R. (2008) Vorrichtung zur Erzeugung eines homogenen Magnetfelds und Optimierungsverfahren.

• Zulian P., Nestola M. G. C., Krause R., Riva S., Kothari H., Favino M. (2024) Immersed techniques for coupled problems. WCCM-PANACM 2024, MS 206. Vancouver, British Columbia, Canada

• Gross C., Krause R. (2011) On the Globalization of ASPIN employing Trust-Region Control Strategies - Convergence Analysis and Numerical Examples.
• Gross C., Krause R. (2010) A Generalized Recursive Trust-Region Approach - Nonlinear Multiplicatively Preconditioned Trust-Region Methods and Applications.
• Conen L., Gross C., Krause R. (2010) The Linear Algebra Module in ObsLib++ - Description, Comparisons and Numerical Results.
• Dickopf T., Krause R. (2009) A contact method for parametric finite elements.
• Dickopf T., Krause R. (2009) A pseudo-L2-projection for multilevel methods based on non-nested meshes..
• Dickopf T., Gross C., Krause R., Mohr C., Steiner J. (2008) Efficient Simulation Techniques for Heterogeneous Models in Biomechanics.
• Gross C., Krause R. (2008) Import of Geometries and Extended Informations into Obslib++ using the Exodus II and Exodus Parameter File Formats.
• Ben Bader S., Harbrecht H., Krause R., Quaglino A., Schmidlin M. (2021) Space-time multilevel quadrature methods and their application for cardiac electrophysiology.

• Zulian P., Kopanicakova A., Nestola M. G. C., Fink A., Fadel N. A., Vandevondele J., Krause R. (2021) Large scale simulation of pressure induced phase-field fracture propagation using Utopia.
• Kopanicakova A., Krause R. (2021) Multilevel Active-Set Trust-Region (MASTR) Method for Bound Constrained Minimization.
• Kopanicakova A., Kothari H., Karniadakis G. E., Krause R. (2023) Enhancing training of physics-informed neural networks using domain-decomposition based preconditioning strategies.