Browse by Authors

2021

Bastian, P. and Blatt, M. and Dedner, A. and Dreier, N.-A. and Engwer, C. and Fritze, R. and Gräser, C. and Grüninger, C. and Kempf, D. and Klöfkorn, R. and Ohlberger, M. and Sander, O. (2021) The Dune framework: Basic concepts and recent developments. Computers & Mathematics with Applications, 81 . pp. 75-112. ISSN 0898-1221

Kies, T. and Gräser, C. (2021) On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models. Interfaces and Free Boundaries . pp. 1-22. ISSN 1463-9963 (In Press)

Gräser, C. and Kienle, D. and Sander, O. (2021) Truncated Nonsmooth Newton Multigrid for phase-field brittle-fracture problems. arXiv:2007.12290 . pp. 1-41. (Submitted)

2020

Gräser, C. and Alathur Srinivasan, P. A. (2020) Error bounds for PDE-regularized learning. arXiv:2003.06524 . pp. 1-20. (Submitted)

Kies, T. and Gräser, C. and Delle Site, L. and Kornhuber, R. (2020) Free energy computation of particles with membrane-mediated interactions via Langevin dynamics. arXiv:2009.14713 . pp. 1-20. (Submitted)

2019

Gräser, C. and Kies, T. (2019) Discretization error estimates for penalty formulations of a linearized Canham-Helfrich-type energy. IMA Journal of Numerical Analysis, 39 (2). pp. 626-649. ISSN 0272-4979

2018

Kienle, D. and Gräser, C. and Sander, O. and Keip, M.-A. (2018) Efficient and reliable phase‐field simulation of brittle fracture using a nonsmooth multigrid solution scheme. PAMM. Special Issue: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 18 (1). e201800126. ISSN 1617-7061

Engwer, C. and Gräser, C. and Müthing, S. and Sander, O. (2018) Function space bases in the dune-functions module. arXiv:1806.09545 . pp. 1-53. (Submitted)

2017

Peters, J.H. and Gräser, C. and Klein, R. (2017) Membrane Deformation by N-BAR Proteins: Extraction of membrane geometry and protein diffusion characteristics from MD simulations. SFB 1114 Preprint in arXiv:1712.02666 . pp. 1-12. (Unpublished)

Engwer, C. and Gräser, C. and Müthing, S. and Sander, O. (2017) The interface for functions in the dune-functions module. Archive of Numerical Software, 5 (1). pp. 95-110. ISSN 2197-8263

2016

Blatt, M. and Burchardt, A. and Dedner, A. and Engwer, C. and Fahlke, J. and Flemisch, B. and Gersbacher, C. and Gräser, C. and Gruber, F. and Grüninger, C. and Kempf, D. and Klöfkorn, R. and Malkmus, T. and Müthing, S. and Nolte, M. and Piatkowski, M. and Sander, O. (2016) The Distributed and Unified Numerics Environment, Version 2.4. Archive of Numerical Software, 4 (100). pp. 13-29. ISSN 2197-8263

Gräser, C. and Kahnt, M. and Kornhuber, R. (2016) Numerical approximation of multi-phase Penrose-Fife systems. Computational Methods in Applied Mathematics, 16 (4). pp. 523-542. ISSN Online: 1609-9389, Print: 1609-4840

Elliott, C.M. and Gräser, C. and Hobbs, G. and Kornhuber, R. and Wolf, M.W. (2016) A Variational Approach to Particles in Lipid Membranes. Archive for Rational Mechanics and Analysis, 222 (2). pp. 1011-1075. ISSN Print: 0003-9527; Online:1432-0673

2015

Gräser, C. and Kornhuber, R. and Sack, U. (2015) Nonsmooth Schur-Newton methods for multicomponent Cahn-Hilliard systems. IMA Journal of Numerical Analysis, 35 (2). pp. 652-679. ISSN 0272-4979

Gräser, C. (2015) A note on Poincaré- and Friedrichs-type inequalities. arXiv:1512.02842 . (Submitted)

2014

Gräser, C. and Kornhuber, R. and Sack, U. (2014) Numerical simulation of coarsening in binary solder alloys. Computational Materials Science, 93 . pp. 221-233. ISSN 0927-0256

Gräser, C. and Sander, O. (2014) Polyhedral Gauß-Seidel converges. Journal of Numerical Mathematics, 22 (3). pp. 221-254. ISSN 1570-2820

Gräser, C. and Sander, O. (2014) Truncated nonsmooth Newton multigrid methods for simplex-constrained minimization problems. Preprint 384, IGPM Aachen . (Submitted)

2013

Jouvet, G. and Gräser, C. (2013) An adaptive Newton multigrid method for a model of marine ice sheets. Journal of Computational Physics, 252 . pp. 419-437. ISSN 0021-9991

Gräser, C. and Kornhuber, R. and Sack, U. (2013) Time discretizations of anisotropic Allen-Cahn equations. IMA Journal of Numerical Analysis, 33 (4). pp. 1226-1244. ISSN 0272-4979

Gräser, C. (2013) Nonsmooth Schur-Newton methods for nonsmooth saddle point problems. Preprint 1004, Matheon Berlin .

Jouvet, G. and Bueler, E. and Gräser, C. and Kornhuber, R. (2013) A nonsmooth Newton multigrid method for a hybrid, shallow model of marine ice sheets. Recent Advances in Scientific Computing and Applications, 586 . pp. 208-217. ISSN 0271-4132

2011

Zou, Q. and Veeser, A. and Kornhuber, R. and Gräser, C. (2011) Hierarchical error estimates for the energy functional in obstacle problems. Numerische Mathematik, 117 (4). pp. 653-677. ISSN 0029-599X

2010

Gräser, C. and Kornhuber, R. and Sack, U. (2010) On hierarchical error estimators for time-discretized phase field models. In: Numerical Mathematics and Advanced Applications 2009: Proceedings of ENUMATH 2009. Springer Berlin Heidelberg, pp. 397-405. ISBN 978-3-642-11794-7

2009

Gräser, C. and Sander, O. (2009) The dune-subgrid module and some applications. Computing, 86 (4). pp. 269-290. ISSN 0010-485X

Gräser, C. and Sack, U. and Kornhuber, R. (2009) Truncated nonsmooth Newton multigrid methods for convex minimization problems. In: Domain Decomposition Methods in Science and Engineering XVIII. Lecture Notes in Computational Science and Engineering, 70 . Springer Berlin Heidelberg, pp. 129-136. ISBN 978-3-642-02676-8

Gräser, C. and Kornhuber, R. (2009) Nonsmooth Newton methods for set-valued saddle point problems. SIAM Journal on Numerical Analysis, 47 (2). pp. 1251-1273. ISSN 0036-1429

Gräser, C. and Kornhuber, R. (2009) Multigrid methods for obstacle problems. Journal of Computational Mathematics, 27 (1). pp. 1-44. ISSN 0254-9409

2008

Gräser, C. (2008) Globalization of nonsmooth Newton methods for optimal control problems. In: Numerical Mathematics and Advanced Applications. Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007 . Springer Berlin Heidelberg, pp. 605-612. ISBN 978-3-540-69776-3

2007

Kornhuber, R. and Gräser, C. (2007) On preconditioned Uzawa-type iterations for a saddle point problem with inequality constraints. In: Decomposition Methods in Science and Engineering XVI. LNCSE (55). Springer, pp. 91-102. ISBN 978-3-540-34469-8

Gräser, C. and Kornhuber, R. (2007) On preconditioned Uzawa-type iterations for a saddle point problem with inequality constraints. In: Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering, 55 . Springer Berlin Heidelberg, pp. 91-102. ISBN 978-3-540-34468-1