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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

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)

Youett, J. and Sander, O. and Kornhuber, R. (2019) A globally convergent filter-trust-region method for large deformation contact problems. SIAM J. Sci. Comput., 41 (1). B114-B138. ISSN 1064-8275

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)

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

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

Grohs, P. and Hardering, H. and Sander, O. (2015) Optimal a priori discretization error bounds for geodesic finite elements. Foundations of Computational Mathematics, 15 (6). pp. 1357-1411. ISSN 1615-3375

Pipping, E. and Sander, O. and Kornhuber, R. (2015) Variational formulation of rate- and state-dependent friction problems. Zeitschrift für angewandte Mathematik und Mechanik (ZAMM), 95 (4). pp. 377-395. ISSN 0044-2267

Berninger, H. and Kornhuber, R. and Sander, O. (2015) A multidomain discretization of the Richards equation in layered soil. Computational Geosciences, 19 (1). pp. 213-232. ISSN 1420-0597

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

Berninger, H. and Loisel, S. and Sander, O. (2014) The 2-Lagrange multiplier method applied to nonlinear transmission problems for the Richards equation in heterogeneous soil with cross points. SIAM J. Sci. Comput., 36 (5). A2166-A2198. ISSN 1064-8275

Vetter, A. and Sander, O. and Duda, G. and Weinkamer, R. (2014) Healing of a mechano-responsive material. Europhysics Letters (EPL), 104 (6). pp. 1-6. ISSN 0295-5075

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

Berninger, H. and Ohlberger, M. and Sander, O. and Smetana, K. (2014) Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions. Mathematical Models and Methods in Applied Sciences, 24 (5). pp. 901-936. ISSN 1793-6314

Sander, O. and Schiela, A. (2014) Variational analysis of the coupling between a geometrically exact Cosserat rod and an elastic continuum. Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 65 (6). pp. 1261-1288. ISSN 0044-2275 (Print) 1420-9039 (Online)

Sander, O. and Klapproth, C. and Youett, J. and Kornhuber, R. and Deuflhard, P. (2013) Towards an efficient numerical simulation of complex 3D knee joint motion. Computing and Visualization in Science, 16 (3). pp. 119-138. ISSN 1432-9360

Youett, J. and Sander, O. (2012) A dissipative discretization for large deformation frictionless dynamic contact problems. MATHEON Preprint #1184 .

Sander, O. (2012) Geodesic finite elements on simplicial grids. International Journal for Numerical Methods in Engeneering, 92 (12). pp. 999-1025. ISSN Online: 1097-0207

Sander, O. and Schiela, A. (2012) Energy minimizers of the coupling of a Cosserat rod to an elastic continuum. Mathematical Modelling, 7 (1). pp. 1118-1123.

Vetter, A. and Witt, F. and Sander, O. and Duda, G. and Weinkamer, E. (2012) The spatio-temporal arrangement of different tissues during bone healing as a result of simple mechanobiological rules. Biomechanics and Modeling in Mechanobiology, 11 (1-2). pp. 147-160. ISSN 1617-7959

Berninger, H. and Kornhuber, R. and Sander, O. (2011) Fast and robust numerical solution of the Richards equation in homogeneous soil. SIAM Journal on Numerical Analysis, 49 (6). pp. 2576-2597. ISSN 0036-1429

Berninger, H. and Kornhuber, R. and Sander, O. (2011) Heterogeneous domain decomposition of surface and porous media flow. AIP Conference Proceedings, 1389 . pp. 2025-2028. ISSN 0094-243X

Vetter, A. and Liu, Y. and Witt, F. and Manjubala, I. and Sander, O. and Rao Epari, D. and Fratzl, P. and Duda, G. and Weinkamer, R. (2011) The mechanical heterogeneity of the hard callus influences local tissue strains during bone healing. Journal of Biomechanics, 44 (3). pp. 517-523. ISSN 0021-9290

Sander, O. (2011) The PSurface library. Computing and Visualization in Science, 14 (8). pp. 353-370. ISSN 1432-9360

Sander, O. (2010) Geodesic finite elements for Cosserat rods. International Journal for Numerical Methods in Engineering, 82 (13). pp. 1645-1670. ISSN 1097-0207

Sander, O. and Schmidt, L. and Ehrig, R. and Heller, M. and Taylor, B. and Kornhuber, R. (2010) Numerical determination of the medio-lateral force distribution in an ovine stifle joint. Biomedizinische Technik/Biomedical Engineering: Proceedings of BMT, Rostock, 55 (s1). ISSN 0013-558

Berninger, H. and Sander, O. (2010) Substructuring of a Signorini-type problem and Robin's method for the Richards equation in heterogeneous soil. Computing and Visualization in Science, 13 (5). pp. 187-205. ISSN 1432-9360

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

Bastian, P. and Blatt, M. and Dedner, A. and Engwer, C. and Klöfkorn, R. and Ohlberger, M. and Sander, O. (2008) A generic grid interface for parallel and adaptive scientific computing. Part I: Abstract framework. Computing, 82 (2-3). pp. 103-119. ISSN 0010-485X

Bastian, P. and Blatt, M. and Dedner, A. and Engwer, C. and Klöfkorn, R. and Kornhuber, R. and Ohlberger, M. and Sander, O. (2008) A generic grid interface for parallel and adaptive scientific computing. Part II: Implementation and tests in DUNE. Computing, 82 (2-3). pp. 121-138. ISSN 0010-485X

Kornhuber, R. and Krause, R. and Sander, O. and Deuflhard, P. and Ertel, S. (2008) A monotone multigrid solver for two body contact problems in biomechanics. Computing and Visualization in Science, 11 (1). pp. 3-15. ISSN 1432-9360

Bastian, P. and Blatt, M. and Dedner, A. and Engwer, C. and Klöfkorn, R. and Kornhuber, R. and Ohlberger, M. and Sander, O. (2008) A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE. Computing, 82 (2-3). pp. 121-138.

Bastian, P. and Blatt, M. and Dedner, A. and Engwer, C. and Klöfkorn, R. and Ohlberger, M. and Sander, O. (2007) A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework. Computing, 82 (2-3). pp. 103-119.

Bastian, P. and Blatt, M. and Engwer, C. and Dedner, A. and Klöfkorn, R. and Kuttanikkad, S. P. and Ohlberger, M. and Sander, O. (2006) The Distributed and Unified Numerics Environment (DUNE). Proc. of the 19th Symposium on Simulation Technique .

Krause, R. and Sander, O. (2006) Automatic construction of boundary parametrizations for geometric multigrid solvers. Computing and Visualization in Science, 9 (1). pp. 11-22. ISSN 1432-9360

Caselles, V. and Igual, L. and Sander, O. (2006) An axiomatic approach to scalar data interpolation on surfaces. Numerische Mathematik, 102 (3). pp. 383-411. ISSN 0029-599X

Deuflhard, P. and Ertel, S. and Kornhuber, R. and Krause, R. and Sander, O. (2006) Patient-specific simulation of dynamic stress distribution in the human knee. Journal of Biomechanics, 39 . p. 47. ISSN 0021-9290

Sander, O. (2006) A fast solver for finite deformation contact problems. Preprint A-06-02 . (Unpublished)

Book Section

Kornhuber, R. and Sander, O. and Schiela, A. and Weiser, M. (2021) Wear Testing of Knee Implants. In: German Success Stories in Industrial Mathematics. Springer, pp. 85-90. ISBN Print 978-3-030-81454-0; Online 978-3-030-81455-7

Sander, O. (2013) Coupling geometrically exact cosserat rods and linear elastic continua. In: Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, 91 . Springer Berlin Heidelberg, pp. 443-450. ISBN 978-3-642-35274-4

Sander, O. (2013) Geodesic finite elements in spaces of zero curvature. In: Numerical Mathematics and Advanced Applications 2011. Proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011 . Springer Berlin Heidelberg, pp. 449-457. ISBN 978-3-642-33133-6

Berninger, H. and Kornhuber, R. and Sander, O. (2013) Heterogeneous substructuring methods for coupled surface and subsurface flow. In: Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, 91 . Springer Berlin Heidelberg, pp. 427-434. ISBN 978-3-642-35274-4

Bastian, P. and Berninger, H. and Dedner, A. and Engwer, C. and Henning, P. and Kornhuber, R. and Kröner, D. and Ohlberger, M. and Sander, O. and Schiffler, G. and Shokina, N. and Smetana, K. (2012) Adaptive modelling of coupled hydrological processes with application in water management. In: Progress in Industrial Mathematics at ECMI 2010. Mathematics in Industry: The European Consortium for Mathematics in Industry (17). Springer Berlin Heidelberg, pp. 561-567. ISBN 978-3-642-25100-9

Berninger, H. and Kornhuber, R. and Sander, O. (2011) Convergence behaviour of Dirichlet-Neumann and Robin methods for a nonlinear transmission problem. In: Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering, 78 . Springer Berlin Heidelberg, pp. 87-98. ISBN 978-3-642-11303-1

Bastian, P. and Buse, G. and Sander, O. (2010) Infrastructure for the Coupling of Dune Grids. In: Numerical Mathematics and Advanced Applications 2009: Proceedings of ENUMATH 2009. Springer Berlin Heidelberg, pp. 107-114. ISBN 978-3-642-11794-7

Forster, R. and Kornhuber, R. and Mautner, R. and Sander, O. (2008) Fast and reliable pricing of American options with local volatility. In: Decomposition Methods in Science and Engineering XVII. Springer, pp. 383-390. ISBN 978-3-540-75198-4

Forster, R. and Kornhuber, R. and Mautner, K. and Sander, O. (2008) Fast and reliable pricing of American options with local volatility. In: Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering, 60 . Springer Berlin Heidelberg, pp. 383-390. ISBN 978-3-540-75198-4

Berninger, H. and Kornhuber, R. and Sander, O. (2007) On nonlinear Dirichlet-Neumann Algorithms for jumping nonlinearities. In: Domain Decomposition Methods in Science and Engineering XVI. In: Domain Decomposition Methods in Science and Engineering XVI. LNCSE, 55 . Springer, pp. 489-496. ISBN 978-3-540-34469-8

Krause, R. and Sander, O. (2005) Fast solving of contact problems on complicated geometries. In: Domain Decomposition Methods in Science and Engineering XIII. Lecture Notes in Computational Science and Engineering, 40 . Springer, Berlin, pp. 495-502. ISBN 978-3-540-22523-2

Sander, O. and Caselles, V. and Bertalmio, M. (2003) Axiomatic scalar data interpolation on manifolds. In: International Conference on Image Processing (ICIP) 2003. Proceedings. IEEE, Barcelona, Spain, pp. 681-684. ISBN 0-7803-7750-8