Dr. Marcus Mohr

2024

• Fabian Böhm and Daniel Bauer and Nils Kohl and Christie Alappat and Dominik Thönnes and Marcus Mohr and Harald Köstler and Ulrich Rüde (2024), Code Generation and Performance Engineering for Matrix-Free Finite Element Methods on Hybrid Tetrahedral Grids , arXiv, doi: 10.48550/arXiv.2404.08371.

2023

• Hank, Kevin and Tarasov, Lev and Mantelli, Elisa (2023), Modeling sensitivities of thermally and hydraulically driven ice stream surge cycling (16), 5627–5652, doi: 10.5194/gmd-16-5627-2023.
• Mohr, Marcus and Rüde, Ulrich and Wohlmuth, Barbara and Bunge, Hans-Peter (2023), Challenges for Mantle Convection Simulations at the Exa-Scale: Numerics, Algorithmics and Software Computational Methods in Applied Sciences, vol. 58, pp. 75-92, Springer International Publishing, Editors: Pekka Neittaanmäki and Marja-Leena Rantalainen, doi: 10.1007/978-3-031-29082-4_4.

2022

• Nils Kohl and Marcus Mohr and Sebastian Eibl and Ulrich Rüde (2022), A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids , 44(3), C260-C285, doi: 10.1137/21M1402510.

2021

• Gabriel, Alice-Agnes and Mohr (corr.), Marcus and Schuberth, Bernhard S.A. (2021), Geocomputing Encyclopedia of Earth Sciences Series, Springer, Cham, ISBN: 1871-756X, Editors: Sagar, B. S. Daya and Cheng, Qiuming and McKinley, Jennifer and Agterberg, Frits, doi: 10.1007/978-3-030-26050-7, open access at https://bit.ly/3mHpUKA.
• Kohl, Nils and Mohr, Marcus and Eibl, Sebastian and Rüde, Ulrich (2021), A massively parallel Eulerian-Lagrangian method for advection-dominated transport in viscous fluids (22), doi: 10.48550/arXiv.2103.02388.

2020

• Bauer, S., et al. (2020), TerraNeo — Mantle Convection Beyond a Trillion Degrees of Freedom Lecture Notes in Computational Science and Engineering, vol. 136, pp. 569-610, Springer, Editors: Bungartz, H.-J. and Reiz, S. and Uekermann, B. and Neumann, P. and Nagel, W., doi: 10.1007/978-3-030-47956-5_19.
• Horbach, André and Mohr, Marcus and Bunge, Hans-Peter (2020), A Semi-Analytic Accuracy Benchmark for Stokes Flow in 3-D Spherical Mantle Convection Codes , 11(1), doi: 10.1007/s13137-019-0137-3.

2019

• Bauer, S. and Huber, M. and Ghelichkhan, S. and Mohr, M. and Rüde, U. and Wohlmuth, B. (2019), Large-scale Simulation of Mantle Convection Based on a New Matrix-Free Approach , 31, 60-76, doi: 10.1016/j.jocs.2018.12.006.

2018

• Bauer, S. and Drzisga, D. and Mohr, M. and Rüde, U. and Waluga, C. and Wohlmuth, B. (2018), A stencil scaling approach for accelerating matrix-free finite element implementations , 40(6), C748–C778, doi: 10.1137/17M1148384.
• Bauer, S. and Huber, M. and Mohr, M. and Rüde, U. and Wohlmuth, B. (2018), A New Matrix-free Approach for Large-scale Geodynamic Simulations and its Performance Lecture Notes in Computer Science, vol. 10861, pp. 17-30, Springer, Editors: Shi, Y., Fu, H., Tian, Y., Krzhizhanovskaya, V., Lees, M., Dongarra, J. and Sloot, P., doi: 10.1007/978-3-319-93701-4_2.

2017

• Bauer, S. and Mohr, M. and Rüde, U. and Weismüller, J. and Wittmann, M. and Wohlmuth, B. (2017), A two-scale approach for efficient on-the-fly operator assembly in massively parallel high performance multigrid codes , 122, 14-38, doi: 10.1016/j.apnum.2017.07.006.
• Bolten, M. and Franchetti, F. and Kelly, P. and Lengauer, C. and Mohr, M. (2017), Algebraic description and automatic generation of multigrid methods in SPIRAL , 29(17), doi: 10.1002/cpe.4105, Special Issue on Advanced Stencil-Code Engineering.

2016

• Rüde, U., et al. (2016), TerraNeo – Integrated Co-Design of an Exascale Earth Mantle Modeling Framework , 14(1), 78–81.
• Bauer, S., et al. (2016), Hybrid Parallel Multigrid Methods for Geodynamical Simulations Lecture Notes in Computational Science and Engineering, vol. 113, pp. 211-235, Springer, Editors: Bungartz, H.-J. and Neumann, P. and Wolfgang, E., doi: 10.1007/978-3-319-40528-5_10.

2012

• Gmeiner, B. and Mohr, M. and Rüde, U. (2012), Hierarchical Hybrid Grids for Mantle Convection: A First Study 309-314, IEEE, doi: 10.1109/ISPDC.2012.49.
• Gmeiner, B. and Mohr, M. and Rüde, U. (2012), Hierarchical Hybrid Grids for Mantle Convection: A First Study , No.01-2012, Lehrstuhl für Informatik 10 (Systemsimulation), Friedrich-Alexander-Universität Erlangen-Nürnberg.

2009

• Oeser, Jens and Bunge, Hans-Peter and Mohr, Marcus and Igel, Heiner (2009), Frontiers in Computational Geophysics: simulations of mantle circulation, plate tectonics and seismic wave propagation Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 100, Springer, ISBN: 978-3-540-70804-9, Editors: Hirschel, E. H. and Krause, E., doi: 10.1007/978-3-540-70805-6_30.

2008

• Moder, Christoph and Oeser, Jens and Mohr, Marcus and Schuberth, Bernhard (2008), Processing and visualization of mantle convection data with Paraview and VTK , invited talk.
• Mohr, M. and Popa, C. (2008), Numerical solution of symmetric least-squares problems with an inversion-free Kovarik-type algorithm , 85(2), 271-286, doi: 10.1080/00207160701421151.

2006

• Mohr, M. and Popa, C. and Rüde, U. (2006), Analysis of a Preconditioned CG method for an Inverse Bioelectric Field Problem Series on Mathematical Modelling of Environmental and Life Sciences Problems, pp. 135-146, Editura Academiei Române, Editors: Ion, S. and Marinoschi, G. and Popa, C..
• Mohr, M. (2006), Iterative Solution Approaches for the Piezoelectric Forward Problem Mathematics in Industry, vol. 8, pp. 169-173, Springer, ISBN: 3-540-28072-3, Editors: Bucchianico, A. Di and Mattheij, R. and Peletier, M., doi: 10.1007/3-540-28073-1_22.
• Oeser, J. and Bunge, H.-P. and Mohr, M. (2006), Cluster Design in the Earth Sciences: TETHYS Lecture Notes in Computer Science, vol. 4208, pp. 31–40, Springer, Editors: Gerndt, Michael and Kranzlmüller, Dieter, doi: 10.1007/11847366_4.
• Kaltenbacher, B. and Lahmer, T. and Mohr, M. and Kaltenbacher, M. (2006), PDE based determination of piezoelectric material tensors , 17(4), 383-416, doi: 10.1017/S0956792506006474, published online 17 Feb 2006.

2005

• Leder, E. and Kaltenbacher, M. and Kaltenbacher, B. and Lahmer, T. and Mohr, M. (2005), Determination of material parameters by inverse methods , pp. 63–70, Heinz Nixdorf Institute, Paderborn, Germany.
• Lahmer, T. and Kaltenbacher, B. and Mohr, M. (2005), Simulation Based Determination of Piezoelectric Material Parameters , 5(1), 59–62, doi: 10.1002/pamm.200510016, Special Issue: GAMM Annual Meeting 2005 - Luxembourg.
• Hülsemann, F. and Kowarschik, M. and Mohr, M. and Rüde, U. (2005), Parallel Geometric Multigrid Lecture Notes in Computational Science and Engineering, pp. 165–208, Springer, ISBN: 3-540-29076-1, Editors: Bruaset, A. M. and Tveito, A., doi: 10.1007/3-540-31619-1_5.

2004

• Mohr, M. and Popa, C. and Rüde, U. (2004), A Differential Inverse Problem from Cardiac Imaging Series on Mathematical Modelling of Environmental and Life Sciences Problems, pp. 189–204, Editura Academiei Române, Editors: Ion, S. and Marinoschi, G. and Popa, C..
• Mohr, M. and (2004), Simulation of Bioelectric Fields: The Forward and Inverse Problem of Electro-encephalographic Source Analysis , Institut für Informatik der Technischen Fakultät der Friedrich-Alexander-Universität Erlangen-Nürnberg, Arbeitsberichte des Instituts für Informatik, Band 37.
• Mohr, M. and Popa, C. and Rüde, U. (2004), An Iterative Algorithm for Approximate Orthogonalisation of Symmetric Matrices , 81(2), 215–226, doi: 10.1080/00207160310001650134.
• Mohr, M. and Wienands, R. and (2004), Cell-centred Multigrid revisited , 7(3–4), 129–140, doi: 10.1007/s00791-004-0137-0.

2003

• Mohr, M. and Vanrumste, B. (2003), Comparing Iterative Solvers for Linear Systems associated with the Finite Difference Discretisation of the Forward Problem in Electroencephalographic Source Analysis , 41(1), 75–84, doi: 10.1007/bf02343542.

2002

• Mohr, M. and Vanrumste, B. (2002), Comparing the Performance of Solvers for a Bioelectric Field Problem Lecture Notes in Computer Science, vol. 2330, pp. 528–537, Springer, Editors: Sloot, P. and Tan, C. and Dongarra, J. and Hoekstra, A., doi: 10.1007/3-540-46080-2_55.
• Vanrumste, B. and Mohr, M. and Bones, P. J. (2002), A Multigrid Solver in EEG Source Analysis applying the Finite Difference Method , 4(2), 255–256, Special Issue on Electrocardiology and Neurophysiology.
• Mohr, M. and Vanrumste, B. (2002), Fast Solvers for an Elliptic Problem from Dipole Localization , 1(1), 541–542, doi: 10.1002/1617-7061(200203)1:1<541::AID-PAMM541>3.0.CO;2-F.

2001

• Johnson, C. R. and Mohr, M. and Rüde, U. and Samsonov, A. and Zyp, K. (2001), Multilevel Methods for Inverse Bioelectric Field Problems Lecture Notes in Computational Science and Engineering, vol. 20, pp. 331–346, Springer, Editors: Barth, T. J. and Chan, T. and Haimes, R., doi: 10.1007/978-3-642-56205-1_10.

2000

• Mohr, M. (2000), Low Communication Parallel Multigrid: A Fine Level Approach Lecture Notes in Computer Science, vol. 1900, pp. 806–814, Springer, Editors: Bode, A. and Ludwig, T. and Karl, W. and Wismüller, R., doi: 10.1007/3-540-44520-x_111.

1999

• Mohr, M. and Rüde, U. (1999), An Approach to Communication Reduced Parallel Multigrid , 79(Suppl. 3), 901–902, Proceedings of the GAMM annual meeting 1998.
• Mohr, M. and Rüde, U. (1999), Multilevel Techniques for the Solution of the Inverse Problem of Electrocardiography Lecture Notes in Computational Science and Engineering, vol. 14, pp. 186–192, Springer, Editors: Dick, E. and Riemslagh, K. and Vierendeels, J., doi: 10.1007/978-3-642-58312-4_25.