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Number of items: 132.

2023

Gelß, P., Issagali, A., and Kornhuber, R. (2023)  Fredholm integral equations for function approximation and the training of neural networks.  arXiv:2303.05262v2 (Submitted).

2022

Zendehroud S., Loche, P., Kornhuber R., and  Netz, R.R. (2022) Boundary conditions on conical hydrophobic inclusions in lipid membranes.  

Kornhuber, R. and Podlesny, J. and Yserentant, H. (2022) Numerical homogenization of fractal interface problems. ESAIM: M2AN, 56(4), pp. 1451 - 1481. 

2021

Kornhuber, R., Sander, O., Schiela, A., & Weiser, M. (2021). Wear Testing of Knee Implants.  In German Success Stories in Industrial Mathematics, H.G. Bock et al. (eds.), pp. 85-90, Springer MATHINDUSTRY, vol. 35.

Gräser, C., Kornhuber, R., and Podlesny, J. (2021) Numerical Simulation of multiscale fault systems with rate- and state-dependent friction.  arXiv:2110.14429.

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 23 (4), pp. 459-484.

2020

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 (Submitted).

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

Heida, M. and Kornhuber, R. and Podlesny, J. (2020) Fractal homogenization of multiscale interface problems. Multiscale Modeling & Simulation, 18 (1). pp. 294-314. ISSN 1540-3459

2019

Pipping, E. (2019) Existence of long-time solutions to dynamic problems of viscoelasticity with rate-and-state friction. ZAMM - Journal of Applied Mathematics and Mechanics . 99 (11), e201800263.

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.

Rosenau, M. and Horenko, I. and Corbi, F. and Rudolf, M. and Kornhuber, R. and Oncken, O. (2019) Synchronization of great subduction megathrust earthquakes: Insights from scale model analysis. Journal of Geophysical Research: Solid Earth, 124 (4). pp. 3646-3661. ISSN 2169-9356

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.

Stange, H. and Brunken, S. and Greiner, D. and Heinemann, M. D. and Barragan Yani, D. A. and Wägele, L. A. and Li, Ch. and Simsek Sanli, E. and Kahnt, M. and Schmidt, S. S. and Bäcker, J.-P. and Kaufmann, Ch. A. and Klaus, M. and Scheer, R. and Genzel, Ch. and Mainz, R. (2019) Stacking fault reduction during annealing in Cu-poor CuInSe2 thin film solar cell absorbers analyzed by in situ XRD and grain growth modeling. Journal of Applied Physics, 125 (3). 035303. ISSN 0021-8979

2018

Djurdjevac, A. and Elliott, C.M. and Kornhuber, R. and Ranner, Th. (2018) Evolving surface finite element methods for random advection-diffusion equations. SIAM/ASA Journal on Uncertainty Quantification, 6 (4). pp. 1656-1684. ISSN 2166-2525

Kornhuber, R. and Youett, E. (2018) Adaptive Multilevel Monte Carlo Methods for Stochastic Variational Inequalities. SIAM Journal on Numerical Analysis, 56 (4). pp. 1987-2007. ISSN 0036-1429

Kornhuber, R. and Peterseim, D. and Yserentant, H. (2018) An analysis of a class of variational multiscale methods based on subspace decomposition. Mathematics of Computation, 87 (314). pp. 2765-2774. ISSN 1088-6842 (online)

2017

Djurdjevac, A. (2017) Advection-diffusion equations with random coefficients on evolving hypersurfaces. Interfaces and Free Boundaries, 19 (4). pp. 525-552. ISSN 1463-9963

Polthier, Lukas (2017) Algebraic Multilevel Methods for Markov Chains.  arXiv:1711.04332v2.

Kornhuber, R. and Podlesny, J. and Yserentant, H. (2017) Direct and Iterative Methods for Numerical Homogenization. Domain Decomposition Methods in Science and Engineering. Lecture Notes in Computational Science and Engineering, XXIII (116). SpringerLink, pp. 217-225. ISBN 978-3-319-52389-7

2016

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

Kornhuber, R. and Yserentant, H. (2016) Numerical Homogenization of Elliptic Multiscale Problems by Subspace Decomposition. Multiscale Model. Simul., 14 (3). pp. 1017-1036. ISSN print: 1540-3459; online: 1540-3467

Pipping, E. and Kornhuber, R. and Rosenau, M. and Oncken, O. (2016) On the efficient and reliable numerical solution of rate-and-state friction problems. Geophysical Journal International, 204 (3). pp. 1858-1866. ISSN Online: 1365-246X Print: 0956-540X

2015

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

Babushkina, E. S. and Bessonov, N. M. and Ataullakhanov, F. I. and Panteleev, M. A. (2015) Continuous modeling of arterial platelet thrombus formation using a spatial adsorption equation. PLoS ONE, 10 (10). ISSN 1932-6203

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 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

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

Kornhuber, R. and Schwab, C. and Wolf, M.W. (2014) Multilevel Monte Carlo finite element methods for stochastic elliptic variational inequalities. SIAM Journal on Numerical Analysis, 52 (3). pp. 1243-1268. ISSN 0036-1429

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

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

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

Jouvet, G. and Funk, M. (2014) Modelling the trajectory of the corpses of mountaineers who disappeared in 1926 on Aletschgletscher, Switzerland. Journal of Glaciology, 60 (220). pp. 255-261. ISSN 0022-1430

Jouvet, G. and Rappaz, J. (2014) Numerical analysis and simulation of the dynamics of mountain glaciers. In: Modeling, Simulation and Optimization for Science and Technology. Computational Methods in Applied Sciences (34). Springer Netherlands, pp. 83-92. ISBN 978-94-017-9053-6

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)

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

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

Pattyn, F. and Perichon, L. and Durand, G. and Favier, L. and Gagliardini, O. and Hindmarsh, R. and Zwinger, T. and Albrecht, T. and Cornford, S. and Docquier, D. and Fuerst, J. and Goldberg, G. and Gudmundsson, G. H. and Humbert, A. and Huetten, M. and Huybrechts, P. and Jouvet, G. and Kleiner, T. and Larour, E. and Martin, D. (2013) Grounding-line migration in plan-view marine ice-sheet models: Results of the ice2sea MISMIP3d intercomparison. Journal of Glaciology, 59 (215). pp. 410-422. ISSN 0022-1430

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

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

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

Hardering, H. (2013) Numerical approximation of capillary surfaces in a negative gravitational field. Interfaces and Free Boundaries, 15 (3). pp. 263-280. ISSN 1463-9971

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

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

2012

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

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

Jouvet, G. and Bueler, E. (2012) Steady, shallow ice sheets as obstacle problems: Well-posedness and finite element approximation. SIAM J. Appl. Math., 72 (4). pp. 1292-1314. ISSN 0036-1399

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

2011

Jouvet, G. and Huss, M. and Funk, M. and Blatter, H. (2011) Modelling the retreat of Grosser Aletschgletscher, Switzerland, in a changing climate. Journal of Glaciology, 57 (206). pp. 1033-1045. ISSN 0022-1430

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

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

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

Jouvet, G. and Rappaz, J. (2011) Analysis and finite element approximation of a nonlinear stationary stokes problem arising in glaciology. Advances in Numerical Analysis, 2011 (Article ID 164581). ISSN 1687-9562

Kornhuber, R. and Zou, Q. (2011) Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems. Mathematics of Computation, 80 . pp. 69-88. ISSN 0025-5718

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

2010

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

Forster, R. and Kornhuber, R. (2010) A polynomial chaos approach to stochastic variational inequalities. Journal of Numerical Mathematics, 18 (4). pp. 235-255. ISSN 1570-2820

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

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

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 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

Kornhuber, R. (2010) Mathematik hilft heilen. In: Wissenschaftsstadt Berlin. Berliner Wirtschaftsgespräche e.V., p. 123.

2009

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

Berninger, H. (2009) Non-overlapping domain decomposition for the Richards equation via superposition operators. In: Domain Decomposition Methods in Science and Engineering XVIII. Lecture Notes in Computational Science and Engineering , 70 . Springer Berlin Heidelberg, pp. 169-176. ISBN 978-3-642-02676-8

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

Kornhuber, R. and Yserentant, H. (2008) Multigrid methods for discrete elliptic problems on triangular surfaces. Computing and Visualization in Science , 11 (4-6). pp. 251-257. 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. Part II: Implementation and tests in DUNE. Computing, 82 (2-3). pp. 121-138. 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

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

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

2007

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

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

2006

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 .

Kornhuber, R. and Krause, R. (2006) Robust multigrid methods for vector-valued Allen-Cahn equations with logarithmic free energy. Computing and Visualization in Science , 9 (2). pp. 103-116. ISSN 1432-9360

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

Gebauer, S. and Kornhuber, R. and Yserentant, H. (2006) Hierarchical decomposition of domains with fractures. Mathematics of Computation, 75 (253). pp. 73-90. ISSN 00255718

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)

2005

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

2003

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

Kornhuber, R. and Krause, R. (2003) On multigrid methods for vector-valued Allen-Cahn equations. In: Proceedings of the fourteenth international conference on domain decomposition methods. National Autonomous University of Mexico (UNAM), Mexico City, Cocoyoc, Mexico, pp. 307-314. ISBN 970-32-0859-2

Berninger, H. and Werner, Dirk (2003) Lipschitz spaces and M-ideals. Extracta Mathematicae, 18 (1). pp. 33-56. ISSN 0213-8743

Wohlmuth, B. and Krause, R. (2003) Monotone methods on non-matching grids for non-linear contact problems. SIAM J. Sci. Comput., 25 (1). pp. 324-347. ISSN 1064-8275

2002

Krause, R. and Wohlmuth, B. (2002) A Dirichlet-Neumann type algorithm for contact problems with friction. Computing and Visualization in Science , 5 (3). pp. 139-148. ISSN 1432-9360

Ochs, S. and Hinkelmann, R. and Neunhäuserer, L. and Süß, M. and Helmig, R. and Gebauer, S. and Kornhuber, R. (2002) Adaptive methods for the equidimensional modelling of flow and transport processes in fractured aquifers. In: 5th International Conference on Hydroscience and Engineering, ICHE2002, Advances in Hydro-Science and -Engineering., Sept. 17-21, 2002, Warschau.

Gebauer, S. and Neunhäuserer, L. and Kornhuber, R. and Ochs, S. and Hinkelmann, R. and Helmig, R. (2002) Equidimensional modelling of flow and transport processes in fractured porous systems I. In: Computational Methods in Water Resources. Proceedings of the XIVth International Conference on Computational Methods in Water Resources (CMWR XIV). Computational Methods in Water Resources (CMWR XIV), Delft, pp. 335-342. ISBN 978-0-444-50975-8

Neunhäuserer, L. and Gebauer, S. and Ochs, S. and Hinkelmann, R. and Kornhuber, R. and Helmig, R. (2002) Equidimensional modelling of flow and transport processes in fractured porous systems II. In: Computational Methods in Water Resources. Proceedings of the XIVth International Conference on Computational Methods in Water Resources (CMWR XIV). Computational Methods in Water Resources (CMWR XIV), Delft, pp. 343-350. ISBN 978-0-444-50975-8

Kornhuber, R. (2002) On constrained Newton linearization and multigrid for variational inequalities. Numerische Mathematik, 91 (4). pp. 699-721. ISSN 0029-599X

2001

Kober, C. and Sader, R. and Zeilhofer, H.-F. and Prohaska, S. and Zachow, S. and Deuflhard, P. (2001) Anisotrope Materialmodellierung für den menschlichen Unterkiefer. In: Tagungsband des Workshops "Die Methode der Finiten Elemente in der Biomedizin, Biomechanik und angrenzenden Gebieten". Universitätsklinikum/Universitätsrechenzentrum, Ulm. ISBN 978-3980618342

Kornhuber, R. and Krause, R. (2001) Adaptive multigrid methods for Signorini's problem in linear elasticity. Computing and Visualization in Science , 4 (1). pp. 9-20. ISSN 1432-9360

Krause, R. and Wohlmuth, B. (2001) Domain decomposition methods on nonmatching grids and some applications to linear elasticity problems. Zeitschrift für angewandte Mathematik und Mechanik (ZAMM), 81 (Suppl. 1). pp. 21-24. ISSN 0044-2267

Kober, C. and Müller-Hannemann, M. (2001) A case study in hexahedral mesh generation: Simulation of the human mandible. Engineering with Computers, 17 (3). pp. 249-260. ISSN 0177-0667

Erdmann, B. and Kober, C. and Lang, J. and Deuflhard, P. and Zeilhofer, H.-F. and Sader, R. (2001) Efficient and reliable finite element methods for simulation of the human mandible. In: Proceedings of Medicine Meets Mathematics. Kloster Banz/Staffelstein. Report ZIB 01-14, 2001. (Submitted)

Kornhuber, R. (2001) Nonlinear multigrid techniques. In: Theory and Numerics of Differential Equations. Durham 2000. Universitext . Springer Berlin Heidelberg, pp. 179-229. ISBN 978-3-642-07533-9

Müller-Hannemann, M. and Kober, C. and Sader, R. and Zeilhofer, H.-F. (2001) Anisotropic validation of hexahedral meshes for composite materials in biomechanics. In: Proceedings of the 10th International Meshing Roundtable. International Meshing Roundtable, Newport Beach, CA, pp. 249-260.

Wohlmuth, B. and Krause, R. (2001) A multigrid method based on the unconstrained product space for Mortar finite element discretizations. SIAM Journal on Numerical Analysis, 39 (1). pp. 192-213. ISSN 0036-1429

2000

Neunhäuserer, L. and Gebauer, S. and Hinkelmann, R. and Kornhuber, R. and Helmig, R. (2000) Mehrgittermethoden und adaptive Diskretisierungsverfahren zur Simulation von Strömungs- und Transportprozessen in Kluftaquiferen. In: 3. Workshop Kluft-Aquifere "Gekoppelte Prozesse in Geosystemen". Institut für Strömungsmechanik und Elektronisches Rechnen im Bauwesen, Hannover, pp. 241-255.

Kober, C. (2000) Composite material with shape memory alloy fibers. In: Communications of the Bexbach Colloquium on Science 2000. Shaker, Aachen. ISBN 978-3-8322-1517-0

Kober, C. and Sader, R. and Thiele, H. and Bauer, H.-J. and Zeilhofer, H.-F. and Hoffmann, K.-H. (2000) FEM simulations versus biomechnical experiments concerning the human mandible: a comparision of the results of a frontal and a molar biting study. Preprint A-21-2000 . (Unpublished)

Krause, R. and Wohlmuth, B. (2000) Nonconforming decomposition methods: Techniques for linear elasticity. East-West Journal of Numerical Mathematics, 8 (3). pp. 177-206. ISSN 1569-3953; 0928-0200

Krause, R. and Wohlmuth, B. (2000) Multigrid methods for Mortar finite elements. In: Multigrid Methods VI. Proceedings of the Sixth European Multigrid Conference Held in Gent, Belgium, September 27–30. Springer Berlin Heidelberg, pp. 136-142. ISBN 978-3-540-67157-2

1999

Kornhuber, R. (1999) Monotone iterations for elliptic variational inequalities. In: Free boundary problems: theory and applications. Research notes in mathematics (409). Chapman & Hall/CRC, Boca Raton, London, New York, Washington, D.C., pp. 335-343. ISBN 1-58488-018-X

1998

Kornhuber, R. (1998) On robust multigrid methods for non-smooth variational problems. In: Multigrid methods 5: Proceedings of the Fifth European Multigrid Conference held in Stuttgart, Germany, October 1.4, 1996. Lecture Notes in Computational Science and Engineering (3). Springer Berlin Heidelberg, pp. 173-188. ISBN 978-3-540-63133-0

1997

Kornhuber, R. (1997) Adaptive monotone multigrid methods for some non-smooth optimization problems. In: Domain decomposition methods in science and engineering: 8th international conference, Bejing, P.R. China. John Wiley & Sons, pp. 177-191. ISBN 047196560X

1996

Bornemann, F. A. and Erdmann, B. and Kornhuber, R. (1996) A posteriori error estimates for elliptic problems in two and three space dimensions. SIAM Journal on Numerical Analysis, 33 (3). pp. 1188-1204. ISSN 0036-1429

Kornhuber, R. (1996) A posteriori error estimates for elliptic variational inequalities. Computers & Mathematics with Applications, 31 (8). pp. 49-60. ISSN 0898-1221

Kornhuber, R. (1996) Monotone multigrid methods for elliptic variational inequalities II. Numerische Mathematik, 72 (4). pp. 481-499. ISSN 0029-599X

1994

Erdmann, B. and Hoppe, R. H. W. and Kornhuber, R. (1994) Adaptive multilevel-methods for obstacle problems in three space dimensions. In: Adaptive Methods - Algorithms, Theory and Applications. Notes on Numerical Fluid Mechanics (NNFM), 46 . Vieweg+Teubner Verlag, pp. 120-141. ISBN 978-3-528-07646-7

Hoppe, R. H. W. and Kornhuber, R. (1994) Adaptive multilevel methods for obstacle problems. SIAM Journal on Numerical Analysis, 31 (2). pp. 301-323. ISSN 0036-1429

Kornhuber, R. (1994) Monotone multigrid methods for elliptic variational inequalities I. Numerische Mathematik, 69 (2). pp. 167-184. ISSN 0029-599X

Kornhuber, R. and Yserentant, H. (1994) Multilevel methods for elliptic problems on domains not resolved by the coarse grid. In: Domain Decomposition Methods in Scientific and Engineering Computing. Contemporary Mathematics, 180 . American Mathematical Society, Providence, Rhode Island, pp. 49-60. ISBN 0-8218-5171-3

1993

Bornemann, F. A. and Erdmann, B. and Kornhuber, R. (1993) Adaptive multilevel methods in three space dimensions. International Journal for Numerical Methods in Engineering, 36 (18). pp. 3187-3203. ISSN 1097-0207

Erdmann, B. and Frei, M. and Hoppe, R. H. W. and Kornhuber, R. and Wiest, U. (1993) Adaptive finite element methods for variational inequalities. East-West Journal of Numerical Mathematics, 1 . pp. 165-197. ISSN 1569-3953; 0928-0200

Kornhuber, R. and Roitzsch, R. (1993) Self-adaptive finite-element simulation of bipolar, strongly reverse-biased pn-junctions. International Journal for Numerical Methods in Biomedical Engineering, 9 (3). pp. 243-250. ISSN 2040-7947

Kornhuber, R. and Wittum, G. (1993) Discretization and preconditioning of convection diffusion equations. In: Incomplete Decomposition (ILU) - Algorithms, Theory, and Applications. Notes on Numerical Fluid Mechanics (41). Springer Vieweg, pp. 67-77. ISBN 978-3-528-07641-2

1991

Kornhuber, R. and Roitzsch, R. (1991) Self adaptive computation of the breakdown voltage of planar pn-junctions with multistep field plates. In: Proc. 4th International Conference on Simulation of Semiconductor Devices and Processes. Hartung-Gorre Verlag, Zürich, pp. 535-543. ISBN 3-89191-476-8

1990

Roitzsch, R. and Kornhuber, R. (1990) BOXES - a program to generate triangulations from a rectangular domain description. ZIB-Report , TR-90-09 . ISSN 1438-0064

Hoppe, R. H. W. and Kornhuber, R. (1990) Multi-grid solution of two coupled Stefan equations arising in induction heating of large steel slabs. International Journal for Numerical Methods in Engineering, 30 (4). pp. 779-801. ISSN 1097-0207

Kornhuber, R. and Roitzsch, R. (1990) On adaptive grid refinement in the presence of internal or boundary layers. IMPACT of Computing in Science and Engineering, 2 (1). pp. 40-72. ISSN 0899-8248

1989

Kornhuber, R. and Roitzsch, R. (1989) Adaptive Finite-Element-Methoden für konvektionsdominierte Randwertprobleme bei partiellen Differentialgleichungen. ZIB-Report . ISSN 1438-0064

Hoppe, R. H. W. and Kornhuber, R. (1989) Numerical simulation of induction heating processes by multi-grid techniques. In: Numerical methods in Thermal Problems. Pineridge Press, Swansea, pp. 1142-1152.

1988

Hoppe, R. H. W. and Kornhuber, R. (1988) Multi-grid solution of the two-phase Stefan problem. In: Multigrid Methods: Theory, Applications and Supercomputing. Lecture Notes in Pure and Applied Mathematics (110). Marcel Dekker Inc., pp. 267-297. ISBN 0824779797, 978-0824779795

Kornhuber, R. (1988) Convergent extensions of grid-functions. Mathematische Nachrichten, 139 (1). pp. 63-75. ISSN 1522-2616

Kornhuber, R. (1988) Local change of coordinates for grid-functions on regions with curved boundary. Mathematische Nachrichten, 139 (1). pp. 45-61. ISSN 1522-2616

1973

Kornhuber, R. (1973) Vereinfachung eines Computermodells. MNU - Der mathematische und naturwissenschaftliche Unterricht, 26 (3). p. 176. ISSN 0025-5866