Ben Bader, Seif; Harbrecht, Helmut; Krause, Rolf; Multerer, Michael D.; Quaglino, Alessio; Schmidlin, Marc Space-time multilevel quadrature methods and their application for cardiac electrophysiology. (English) Zbl 07787066 SIAM/ASA J. Uncertain. Quantif. 11, 1329-1356 (2023). MSC: 28-08 60H05 60H15 60H35 65Cxx PDFBibTeX XMLCite \textit{S. Ben Bader} et al., SIAM/ASA J. Uncertain. Quantif. 11, 1329--1356 (2023; Zbl 07787066) Full Text: DOI arXiv
Kopaničáková, Alena; Kothari, Hardik; Krause, Rolf Nonlinear field-split preconditioners for solving monolithic phase-field models of brittle fracture. (English) Zbl 07644202 Comput. Methods Appl. Mech. Eng. 403, Part B, Article ID 115733, 31 p. (2023). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{A. Kopaničáková} et al., Comput. Methods Appl. Mech. Eng. 403, Part B, Article ID 115733, 31 p. (2023; Zbl 07644202) Full Text: DOI arXiv
Bader, S. Ben; Benedusi, P.; Quaglino, A.; Zulian, P.; Krause, R. Space-time multilevel Monte Carlo methods and their application to cardiac electrophysiology. (English) Zbl 1515.65009 J. Comput. Phys. 433, Article ID 110164, 17 p. (2021). MSC: 65C05 92C30 PDFBibTeX XMLCite \textit{S. B. Bader} et al., J. Comput. Phys. 433, Article ID 110164, 17 p. (2021; Zbl 1515.65009) Full Text: DOI arXiv
Benedusi, Pietro; Minion, Michael L.; Krause, Rolf An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem. (English) Zbl 1524.65516 Comput. Math. Appl. 99, 162-170 (2021). MSC: 65M60 65M55 65Y05 65M15 65L05 65M70 65M12 65F10 35K05 65L04 65N30 65M06 65N50 PDFBibTeX XMLCite \textit{P. Benedusi} et al., Comput. Math. Appl. 99, 162--170 (2021; Zbl 1524.65516) Full Text: DOI arXiv
Benedusi, Pietro; Ferrari, Paola; Garoni, Carlo; Krause, Rolf; Serra-Capizzano, Stefano Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation. (English) Zbl 1480.65247 J. Sci. Comput. 89, No. 1, Paper No. 20, 21 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65F08 65M55 65Y05 47B06 80A19 35Q79 PDFBibTeX XMLCite \textit{P. Benedusi} et al., J. Sci. Comput. 89, No. 1, Paper No. 20, 21 p. (2021; Zbl 1480.65247) Full Text: DOI
Liu, Lulu; Keyes, David E.; Krause, Rolf A note on adaptive nonlinear preconditioning techniques. (English) Zbl 1446.65027 SIAM J. Sci. Comput. 40, No. 2, A1171-A1186 (2018). MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{L. Liu} et al., SIAM J. Sci. Comput. 40, No. 2, A1171--A1186 (2018; Zbl 1446.65027) Full Text: DOI
Hesch, C.; Schuß, S.; Dittmann, M.; Eugster, S. R.; Favino, M.; Krause, R. Variational space-time elements for large-scale systems. (English) Zbl 1439.65113 Comput. Methods Appl. Mech. Eng. 326, 541-572 (2017). MSC: 65M60 65D07 PDFBibTeX XMLCite \textit{C. Hesch} et al., Comput. Methods Appl. Mech. Eng. 326, 541--572 (2017; Zbl 1439.65113) Full Text: DOI
Krause, Rolf; Zulian, Patrick A parallel approach to the variational transfer of discrete fields between arbitrarily distributed unstructured finite element meshes. (English) Zbl 06601529 SIAM J. Sci. Comput. 38, No. 3, C307-C333 (2016). MSC: 65Y04 65K05 PDFBibTeX XMLCite \textit{R. Krause} and \textit{P. Zulian}, SIAM J. Sci. Comput. 38, No. 3, C307--C333 (2016; Zbl 06601529) Full Text: DOI
Ruprecht, Daniel; Speck, Robert; Krause, Rolf Parareal for diffusion problems with space- and time-dependent coefficients. (English) Zbl 1343.65113 Dickopf, Thomas (ed.) et al., Domain decomposition methods in science and engineering XXII. Proceedings of the 22nd international conference on domain decomposition methods, Lugano, Switzerland, September 16–20, 2013. Cham: Springer (ISBN 978-3-319-18826-3/hbk; 978-3-319-18827-0/ebook). Lecture Notes in Computational Science and Engineering 104, 371-378 (2016). MSC: 65M06 35K57 PDFBibTeX XMLCite \textit{D. Ruprecht} et al., Lect. Notes Comput. Sci. Eng. 104, 371--378 (2016; Zbl 1343.65113) Full Text: DOI arXiv
Arteaga, Andrea; Ruprecht, Daniel; Krause, Rolf A stencil-based implementation of parareal in the C++ domain specific embedded language STELLA. (English) Zbl 1411.65173 Appl. Math. Comput. 267, 727-741 (2015). MSC: 65Y05 65L05 65M20 65Y10 PDFBibTeX XMLCite \textit{A. Arteaga} et al., Appl. Math. Comput. 267, 727--741 (2015; Zbl 1411.65173) Full Text: DOI arXiv Link
Steiner, Johannes; Ruprecht, Daniel; Speck, Robert; Krause, Rolf Convergence of parareal for the Navier-Stokes equations depending on the Reynolds number. (English) Zbl 1321.76018 Abdulle, Assyr (ed.) et al., Numerical mathematics and advanced applications – ENUMATH 2013. Proceedings of ENUMATH 2013, the 10th European conference on numerical mathematics and advanced applications, Lausanne, Switzerland, August 26–30, 2013. Cham: Springer (ISBN 978-3-319-10704-2/hbk; 978-3-319-10705-9/ebook). Lecture Notes in Computational Science and Engineering 103, 195-202 (2015). MSC: 76D05 76M25 PDFBibTeX XMLCite \textit{J. Steiner} et al., Lect. Notes Comput. Sci. Eng. 103, 195--202 (2015; Zbl 1321.76018) Full Text: DOI arXiv Link
Krause, Rolf; Ruprecht, Daniel Hybrid space-time parallel solution of Burgers’ equation. (English) Zbl 1382.65246 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 647-655 (2014). MSC: 65M06 65Y05 35Q53 PDFBibTeX XMLCite \textit{R. Krause} and \textit{D. Ruprecht}, Lect. Notes Comput. Sci. Eng. 98, 647--655 (2014; Zbl 1382.65246) Full Text: DOI
Conen, Lea; Dolean, Victorita; Krause, Rolf; Nataf, Frédéric A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. (English) Zbl 1321.65172 J. Comput. Appl. Math. 271, 83-99 (2014); addendum ibid. 290, 670-674 (2015). MSC: 65N30 65N55 35J05 65F08 65N12 PDFBibTeX XMLCite \textit{L. Conen} et al., J. Comput. Appl. Math. 271, 83--99 (2014; Zbl 1321.65172) Full Text: DOI
Ruprecht, D.; Krause, R. Explicit parallel-in-time integration of a linear acoustic-advection system. (English) Zbl 1365.76241 Comput. Fluids 59, 72-83 (2012). MSC: 76M25 76Q05 65L05 65Y05 PDFBibTeX XMLCite \textit{D. Ruprecht} and \textit{R. Krause}, Comput. Fluids 59, 72--83 (2012; Zbl 1365.76241) Full Text: DOI arXiv