Professur für Numerik partieller Differentialgleichungen

Publications of Oliver Sander

My arXiv page.

My publications at the TU Dresden ForschungsInfo server (starting 2015).

Proceedings of the 2015 Dune user meeting




Submitted publications:

  1. C. Gräser and O. Sander: Truncated Nonsmooth Newton Multigrid Methods for Block-Separable Minimization Problems, arXiv: 1709.04992, 2017.
  2. J. Youett, O. Sander, and R. Kornhuber: A globally convergent filter-trust-region method for large deformation contact problems, arXiv: 1708.01455, 2017.
  3. O. Sander: Solving primal plasticity increment problems in the time of a single predictor-corrector iteration, arXiv: 1707.03733, 2017.
  4. A. Burchardt, C. Abicht, and O. Sander: Simulating Wear On Total Knee Replacements, arXiv: 1704.08307, 2017.
  5. K. Hanowski and O. Sander: Simulation of Deformation and Flow in Fractured, Poroelastic Materials, arXiv: 1606.05765, 2016.

Refereed publications:

  1. C. Engwer, C. Gräser, S. Müthing, and O. Sander: The interface for functions in the dune-functions module, Archive of Numerical Software, 5(1), (2017), pp. 95-105, doi: 10.11588/ans.2017.1.27683
  2. O. Sander, T. Koch, N. Schröder, and B. Flemisch: The Dune FoamGrid implementation for surface and network grids, Archive of Numerical Software, 5(1), (2017), pp. 217-244, doi: 10.11588/ans.2017.1.28490
  3. M. Blatt, A. Burchardt, A. Dedner, C. Engwer, J. Fahlke, B. Flemisch, C. Gersbacher, C. Gräser, F. Gruber, C. Grüninger, D. Kempf, R. Klöfkorn, T. Malkmus, S. Müthing, M. Nolte, M. Piatkowski, O. Sander: The Distributed and Unified Numerics Environment, Version 2.4, Archive of Numerical Software, 4(100), (2016), doi: 10.11588/ans.2016.100.26526
  4. O. Sander, P. Neff, and M. Bîrsan: Numerical Treatment of a Geometrically Nonlinear Planar Cosserat Shell Model, Comp. Mech., 57(5), (2016), pp. 817-841; also in arXiv: 1412.3668, 2014
  5. O. Sander: Geodesic finite elements of higher order, IGPM Preprint 356, 2013, IMA J. Numer. Anal. 36(1), 2016, pp. 238-266
  6. O. Sander: Substructuring Methods in Nonlinear Function Spaces, Proceedings of the 22nd International Conference on Domain Decomposition Methods, pp. 53-64, 2016.
  7. E. Pipping, O. Sander, and R. Kornhuber: Variational Formulation of Rate- and State-Dependent Friction Problems, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 95(4), 2015, pp. 377-395, DOI: 10.1002/zamm.201300062.
  8. P. Grohs, H. Hardering, and O. Sander: Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements, Foundations of Computational Mathematics (FoCM), 15(6), (2015), pp. 1357-1411. doi: 10.1007/s10208-014-9230-z.
  9. O. Sander, C. Klapproth, J. Youett, R. Kornhuber, P. Deuflhard: Towards an efficient numerical simulation of complex 3D knee joint motion, Comp. Vis. Sci., 16(3), (2014), pp. 119-138
  10. H. Berninger, S. Loisel, and O. Sander: 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), (2014), pp. A2166-A2198.
  11. H. Berninger, R. Kornhuber, and O. Sander: A Multidomain Discretization of the Richards Equation in Layered Soil, Computational Geosciences (2014), DOI 10.1007/s10596-014-9461-8
  12. A. Vetter, O. Sander, G. N. Duda and R. Weinkamer: Healing of a mechano-responsive material, Europhysics Letters (EPL) 104(6), 2014.
  13. O. Sander and A. Schiela: Variational Analysis of the Coupling Between a Geometrically Exact Cosserat Rod and an Elastic Continuum, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 65(6), 2014, pp. 1261-1288
  14. C. Gräser and O. Sander: Polyhedral Gauss-Seidel Converges, Journal of Numerical Mathematics, 22(3), 2014, pp. 221-254.
  15. H. Berninger, M. Ohlberger, O. Sander and K. Smetana: Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions. Mathematical Models and Methods in Applied Sciences (M3AS), 24(5), 2014, pp. 901-936
  16. H. Berninger, R. Kornhuber, O. Sander: Heterogeneous Substructuring Methods for Coupled Surface and Subsurface Flows, Proceedings of the 20th International Conference on Domain Decomposition Methods, pp. 451-458, 2013
  17. O. Sander: Coupling Geometrically Exact Cosserat Rods and Linear Elastic Continua, Proceedings of the 20th International Conference on Domain Decomposition Methods, pp. 467-474, 2013
  18. O. Sander : The PSurface library, Comp.Vis. Sci. 14(8), 2013, pp. 353-370.
  19. O. Sander: Geodesic Finite Elements in Spaces of Zero Curvature, Numerical Mathematics and Advanced Applications (Proceedings of Enumath 2011), 2013, pp. 449-457
  20. O. Sander: Geodesic Finite Elements on Simplicial Grids, Int. J. Num. Meth. Eng. 92(12), 2012, pp. 999-1025
  21. P. Bastian, H. Berninger, A. Dedner, Ch. Engwer, P. Henning, R. Kornhuber, D. Kröner, M. Ohlberger, O. Sander, G. Schiffler, N. Shokina, K. Smetana: 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, 2012, pp. 561-567
  22. A. Vetter, F. Witt, O. Sander, G. Duda, R. Weinkamer: 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), 2012, pp. 147-160.
  23. Andreas Vetter, Yifei Liu, Florian Witt, Inderchand Manjubala, Oliver Sander, Devakara Rao Epari, Peter Fratzl, Georg Duda, Richard Weinkamer: The Mechanical Heterogeneity of the Hard Callus Influences Local Tissue Strains During Bone Healing, Journal of Biomechanics 44, 2011, pp. 517-523
  24. H. Berninger, R. Kornhuber, O. Sander: Fast and robust numerical solution of the Richards equation in homogeneous soil, SIAM Journal on Numerical Analysis 49 (6), 2011, pp. 2576-2597
  25. H. Berninger, R. Kornhuber, O. Sander: Convergence behaviour of Dirichlet-Neumann and Robin methods for a nonlinear transmission problem, In 'Domain Decomposition Methods in Science and Engineering XIX' LNCSE 78, Springer , 2011, pp. 87-98
  26. H. Berninger, O. Sander: Substructuring of a Signorini-type problem and Robin's method for the Richards equation in heterogeneous soil, Computing and Visualization in Science 13 (5), 2010, pp. 187--205
  27. O. Sander: Geodesic Finite Elements for Cosserat Rods, Int. J. Num. Meth. Eng. 82 (13), 2010, pp. 1645-1670
  28. P. Bastian, G. Buse, O. Sander: Infrastructure for the Coupling of Dune Grids, In 'Proceedings of ENUMATH 2009' Springer, 2010, pp. 107-114
  29. C. Gräser, O. Sander: The dune-subgrid Module and Some Applications, Computing 8 (4), 2009, pp. 269-290
  30. C. Gräser, U. Sack, O. Sander: Truncated Nonsmooth Newton Multigrid Methods for Convex Minimization Problems, In 'Domain Decomposition Methods in Science and Engineering XVIII' LNCSE, Springer, 2009, pp. 129-136
  31. P. Bastian, M. Blatt, A. Dedner, C. Engwer, R. Klöfkorn, M. Ohlberger, O. Sander: A Generic Grid Interface for Adaptive and Parallel Scientific Computing. Part I: Abstract Framework, Computing 82 (2-3), 2008, pp. 103-119
  32. P. Bastian, M. Blatt, A. Dedner, C. Engwer, R. Klöfkorn, R. Kornhuber, M. Ohlberger, O. Sander: A Generic Grid Interface for Adaptive and Parallel Scientific Computing. Part II: Implementation and Tests in DUNE, Computing 82 (2-3), 2008, pp. 121-138
  33. R. Forster, R. Kornhuber, K. Mautner, O. Sander: Fast and reliable pricing of American options with local volatility, In 'Domain Decomposition Methods in Science and Engineering XVII' LNCSE 60, Springer, 2008, pp. 383 - 390
  34. R. Kornhuber, R. Krause, O. Sander, P. Deuflhard, S. Ertel: A Monotone Multigrid Solver for Two Body Contact Problems in Biomechanics, Comp. Vis. Sci. 11, 2008, pp. 3--15
  35. H. Berninger, R. Kornhuber, O. Sander: On nonlinear Dirichlet-Neumann Algorithms for jumping nonlinearities, In 'Domain Decomposition Methods in Science and Engineering XVI' LNCSE 55, Springer, 2007, pp. 489 - 496
  36. R. Krause, O. Sander: Automatic Construction of Boundary Parametrizations for Geometric Multigrid Solvers, Comp. Vis. Sci. 9, 2006, pp. 11-22
  37. V. Caselles, L. Igual, O. Sander: An Axiomatic Approach to Scalar Data Interpolation on Surfaces, Numerische Mathematik 102 (3), 2006, pp. 383--411
  38. R. Krause, O. Sander: Fast Solving of Contact Problems on Complicated Geometries, In 'Domain Decomposition Methods in Science and Engineering' Springer Verlag, 2005, pp. 495-502
  39. O. Sander, V. Caselles, M. Bertalmí­o: Axiomatic Scalar Data Interpolation on Manifolds, In 'International Conference on Image Processing' , 2003, pp. 681--684

Unrefereed publications:

  1. O. Sander: Test function spaces for geometric finite elements, arXiv: 1607.07479, 2016.
  2. O. Sander: Interpolation und Simulation mit nichtlinearen Daten, GAMM Rundbrief 1/2015
  3. C. Gräser and O. Sander: Truncated Nonsmooth Newton Multigrid Methods for Simplex-Constrained Minimization Problems, IGPM Preprint 384, 2014.
  4. J. Youett and O. Sander: A dissipative discretization for large deformation frictionless dynamic contact problems, Matheon Preprint 990, 2012.
  5. O. Sander, L. Schmidt, R. Ehrig, M. Heller, B. Taylor, R. Kornhuber: Numerical determination of the medio-lateral force distribution in an ovine stifle joint, In 'Proceedings of BMT 2010', 2010
  6. O. Sander: A Fast Solver for Finite Deformation Contact Problems, Preprint (2007)
  7. P. Bastian, M. Blatt, C. Engwer, A. Dedner, R. Klöfkorn, S. P. Kuttanikkad, M. Ohlberger, O. Sander: The Distributed and Unified Numerics Environment (DUNE), In '19th Symposium on Simulation Technique, Hanover' , 2006
  8. O. Sander, D. Runge: Fast Surface Reconstruction Using a Probe Sphere, ZIB Report 00-50, 2000.
  9. D. Stalling, M. Zöckler, O. Sander, H. C. Hege: Interactive Segmentation of 3D Medical Images with Subvoxel Accuracy, In 'Proceedings CAR 1998 Computer Assisted Radiology and Surgery' Elsevier, 1998 >

Theses:

  1. O. Sander: Multidimensional Coupling in a Human Knee Model, PhD Thesis, Freie Universität Berlin, (2008)
  2. O. Sander: Constructing Boundary and Interface Parametrizations for Finite Element Solvers, Diploma Thesis, Freie Universität Berlin, Institut für Informatik, (2001).

Stand:
Autor: Oliver Sander