TERRA-NEO

Integrated Co-Design of an Exascale Earth Mantle Modeling Framework

Publications

Preprints which are not made available here can usually be obtained on request.

Recent Work

Journal Articles

Other Publications

  • S. Bauer, H.-P. Bunge, D. Drzisga, B. Gmeiner, M. Huber, L. John, M. Mohr, U. Rüde, H. Stengel, C. Waluga, J. Weismüller, G. Wellein, M. Wittmann, and B. Wohlmuth. Hybrid Parallel Multigrid Methods for Geodynamical Simulations, in H.-J. Bungartz et al. (eds.), Software for Exascale Computing – SPPEXA 2013-2015, Lecture Notes in Computational Science and Engineering, vol. 113.
  • B. Gmeiner, M. Huber, L. John, U. Rüde, C. Waluga, and B. Wohlmuth. Massively Parallel Large Scale Stokes Flow Simulation, in K. Binder, M. Müller, M. Kremer, and A. Schnurpfeil (eds.), NIC Symposium 2016, vol. 48 of NIC Series, pp. 333-341, 2016, ISBN 978-3-95806-109-5.
  • S. Bauer, M. Mohr, U. Rüde, and M. Wittmann. Efficient stencil assembly in global geodynamic models. Geophysical Research Abstracts, vol. 18, p. 13767, 2016.
  • M. Huber, B. Gmeiner, U. Rüde, and B. Wohlmuth. Resilience for exascale enabled multigrid methods. Technical report, Insitute for Numerical Mathematics (M2), TUM, 2015.
  • B. Gmeiner, U. Rüde, H. Stengel, B. Wohlmuth, C. Waluga. Dual and Hybrid Hierarchical Grids for Fast Geophysical Flow Solvers, MFO Report No. 24/2014, Schnelle Löser für Partielle Differentialgleichungen, pp. 44-46, 2014, doi: 10.4171/OWR/2014/24.
  • B. Gmeiner, M. Mohr, and U. Rüde. Hierarchical Hybrid Grids for Mantle Convection: A First Study. Proceedings of the 11th International Symposium on Parallel and Distributed Computing. Parallel and Distributed Computing, pp. 309-314, 2012, (doi: 10.1109/ISPDC.2012.49).
  • B. Gmeiner, U. Rüde, J. Treibig, C. Waluga, J. Weismüller and H. Stengel. Towards Earth Mantle Dynamics with 1012 Unknowns. Technical report, 2013.
  • B. Gmeiner, U. Rüde, C. Waluga, and B. Wohlmuth. Mathematics meets high performance computation in geo-physics applications: Highly scalable multigrid Stokes solver for buoyancy driven non-isothermal Stokes simulation, 2014 DFG Math Calendar, p. 20 (October).

Dissertations

Master Theses

  • J. Snoeijer. Numerical Reconstruction of Fundamental Solutions of the Stokes System with Finite Elements. Master thesis, University Erlangen-Nürnberg, 2016.
  • G. Diamantopoulos. Fault Tolerant Approaches for Parallel Geometric Multigrid. Master thesis, University Erlangen-Nürnberg, 2015.
  • D. Iuhasz. Performance Analysis and Optimization of GPU Kernels for HHG. Master thesis, University Erlangen-Nürnberg, 2014.
  • K. Loh. Solving Stochastic PDEs with Approximate Gaussian Markov Random Fields using Different Programming Environments. Master thesis, University Erlangen-Nürnberg, 2014.
  • L. Schlag. Discretization of compressible Stokes models for mantle convection. Master thesis, Technical University of Munich, 2014 (pdf).
  • M. Emami. Efficient Multigrid Solvers for the Stokes Equations using Finite Elements. Master thesis, University Erlangen-Nürnberg, 2013.

Bachelor Theses

  • M. Eck. Physics of mantle convection and a simple method of benchmarking simulations of flow in the mantle. Bachelor thesis, Ludwig-Maximilians-Universität München, 2015.
  • R. Müller. A Solver for Linear Elasticity in Hierarchical Hybrid Grids. Bachelor thesis, University Erlangen-Nürnberg, 2014.
  • S. Henneking. Evaluation of Time Discretization Methods for Mantle Convection Simulation. Bachelor thesis, University Erlangen-Nürnberg, 2014.
  • M. Brandmeier. Solving Stokes Equation in spherical coordinates using Yin-Yang Grid and MAC discretization. Bachelor thesis, Technical University of Munich, 2014.
  • S. Merchel. Comparison of Multigrid Methods for the Stokes Equation. Bachelor thesis, Technical University of Munich, 2014.
  • J. Ippisch. Domain decomposition methods for the Stokes equations with varying viscosity. Bachelor thesis, Technical University of Munich, 2014.
  • M. V. Baloglu, M. Farahani, C. Rettinger, C. Vogel. Unconventional Discretisations of the Temperature Equation in Earth Mantle Dynamics. BGCE Honours Project 2013, University Erlangen-Nürnberg, 2014.
  • L. Leitenmaier. Data compression for multi-scale checkpointing of simulation data from Earth mantle convection. Bachelor thesis, University Erlangen-Nürnberg, 2014.

Project-relevant presentations

2017

2016

  • U. Rüde, Parallel multigrid methods for Geodynamics, MMELSP 2016, Constanta, Romania, Oct. 12 - 16, 2016.
  • S. Bauer, M. Mohr, U. Rüde, M. Wittmann and B. Wohlmuth, A Novel Approach for Efficient Stencil Assembly in Curved Geometries, poster presentation, PASC 2016 conference, Lausanne, Switzerland, June 8 - 10, 2016.
  • D. Bartuschat, U. Rüde, Simulation of Earth Mantle Convection, ESCO 2016, Pilsen, Czech Republic, June 5 - 10, 2016.
  • U. Rüde, Parallel Textbook Multigrid Efficiency, 14th Copper Mountain Conference on Iterative Methods, Copper Mountain, USA, Mar. 20 - 25, 2016.
  • U. Rüde, Parallel Textbook Multigrid Efficiency, 14th Copper Mountain Conference on Iterative Methods, Copper Mountain, USA, Mar. 20 - 25, 2016.
  • U. Rüde, Multigrid at the Extreme Scale, COSSE-Workshop 2016, Delft, Netherlands, Feb. 16, 2016.
  • M. Huber, Resilience for Multigrid Software at the Extreme Scale, SPPEXA-Annual Meeting 2016, Munich, Germany, Jan. 25 - 27, 2016.
  • M. Huber, Resilience for Multigrid Software at the Extreme Scale, SIAM Parallel Processing 2016, Paris, France, Apr. 12 - 15, 2016.
  • M. Huber, Towards controlling errors in faulty computing environments, Seminar of the Department of Numerical Mathematics, Charles University, Prague, Czech Republic, June 8, 2016.
  • B. Wohlmuth, The role of mathematics in high performance computing for geophysical problems, Magne S. Espedal Lecture, University of Bergen, Norway, Sept. 26, 2016.
  • B. Wohlmuth, Hybrid hierarchical concepts for large scale flow simulations, CCOMAS 2016, Crete, Greece, June 7, 2016.
  • B. Wohlmuth, Reduction techniques in PDE simulation, 7th European Congress of Mathematics, Berlin, Germany, July 19, 2016.
  • B. Wohlmuth, The role of numerical analysis in multi-physics applications, Heidelberg, Germany, Nov. 9, 2016.
  • B. Wohlmuth, Model reduction techniques in vibro-acoustics, MAFELAP, Brunel University, UK, June 16, 2016.
  • B. Wohlmuth, Large scale flow simulations, MOX, Milano, Italy, Mar. 3, 2016.
  • B. Wohlmuth, Reduction techniques in PDE simulation, WCCM XII $\&$ APCOM VI, Seoul, Korea, July 26, 2016.
  • J. Weismüller, Fast asthenosphere motion in high-resolution global mantle flow models, EGU 2016, Vienna, Austria, Apr. 17 - 22, 2016
  • S. Bauer, Efficient stencil assembly in global geodynamic models, EGU 2016, Vienna, Austria, Apr. 17 - 22, 2016.

2015

  • J. Weismüller, B. Gmeiner, M. Huber, L. John, M. Mohr, U. Rüde, B. Wohlmuth and H.-P. Bunge, Mantle Convection on Modern Supercomputers, poster presentation, AGU Fall Meeting 2015, San Francisco, USA, Dec. 14 - 18, 2015.
  • L. John, Robust hybrid parallel multigrid methods for incompressible fluids, Workshop on advanced numerical techniques in biomedical computing, Simula Oslo, Norway, Dec. 3, 2015.
  • L. John, Robust parallel multigrid methods for the Stokes equations, Enumath Conference, Ankara, Turkey, Sept. 14 - 18, 2015.
  • J. Weismüller, B. Gmeiner, M. Mohr, C. Waluga, B. Wohlmuth, U. Rüde and H.-P. Bunge. Mantle convection on modern supercomputers, European Geosciences Union General Assembly 2015, Vienna, Austria, Apr. 12 - 17, 2015.
  • S. Baumann and M. Mohr, Aspects of Multigrid for Mantle Convection, 17th Copper Mountain Conference on Multigrid Methods, USA, Mar. 22 - 27, 2015.
  • M. Huber, Resilience for Exascale Enabled Multigrid Methods, 17th Copper Mountain Conference on Multigrid Methods, USA, Mar. 22 - 27, 2015.
  • L. John, Robust parallel hierarchical hybrid multigrid methods for the Stokes equations, 17th Copper Mountain Conference on Multigrid Methods, USA, Mar. 22 - 27, 2015.
  • U. Rüde. Visiting professor at the National University of Singapore, High Performance and Parallel Computing for Materials Defects and Multiphase Flows, Jan. 1 - Mar. 31, 2015.
  • B. Wohlmuth. Local modifications – global effects, MFO Workshop, Jan. 15, 2015.
  • U. Rüde. Parallel multigrid solvers for geophysical flow, Workshop on Recent Advances in Parallel and High Performance Computing Techniques and Applications, NUS, Singapur, Jan. 14, 2015.
  • U. Rüde. Coupled Physical Models for Exa-Scale Computing, 9th International Conference on Computational Physics, NUS, Singapur, Jan. 10, 2015.
  • B. Wohlmuth. From reduced complexity to large scale computation, AfriComp 2015, Marrakesh, Jan. 8, 2015.

2014

  • U. Rüde. The Emergence of Predictive Science - Computational Science and Engineering, Indo-European Winter Academy, IIT Kanpur, Kanpur, Indien, Dec. 4, 2014.
  • C. Waluga. Achieving local mass-conservation in coupled flow/transport problems using continuous pressure spaces. Talk at IGPM Oberseminar, RWTH Aachen, Germany, Dec. 4, 2014.
  • B. Wohlmuth. Energy- and mass-corrections for optimal control problems, IGDK Annual Colloquium, Herrsching, Dec. 3-5, 2014.
  • C. Waluga. Physics-aware solver concepts for geophysical applications on massively parallel architectures. Numerical Methods on High-Performance Computers, Heidelberg, Germany, Dec. 1-3, 2014.
  • U. Rüde. Combining Granular Dynamics and Lattice Boltzmann Methods, Gastvorlesung, IIT Delhi, Delhi, Indien, Dec. 1, 2014.
  • H.-P. Bunge. Observations and Geodynamic Interpretation of Rapid Plate Motion Variations. Invited talk in Structure and dynamics of Earth-like Planets, workshop, College de France, Nov. 21, 2014.
  • U. Rüde. Parallel Multigrid Solvers for Geophysical Flow Problems, Gastvorlesung, Australien National University, Canberra, AUS, Nov. 17, 2014.
  • U. Rüde. Towards Exa-Scale Simulation Technology, Gastvorlesung, Universidade Federal do Parana, Curitiba, Brasilien, Oct. 30, 2014.
  • U. Rüde. Introduction to Multigrid Methods, Gastvorlesung, Universidade Federal do Paran\'{a, Curitiba, Brasilien, Oct. 29, 2014.
  • B. Wohlmuth. Singularities and pollution in case of re-entrant corners, IMA Workshop on Structure-Preserving Discretizations of Partial Differential Equations, Minneapolis, Oct. 22, 2014.
  • B. Wohlmuth. From reduced complexity to large scale computation, Chicago, Oct. 19, 2014.
  • U. Rüde. Optimal Algorithms for Elliptic PDE in the Presence of Singularities, 10th Workshop on Mathematical Modelling of Environmental and Life Sciences Problems, Constanta, Romania, Oct. 16, 2014.
  • U. Rüde. Challenges and Opportunities of Extreme Scale Numerical Simulation, Seminarul Stiintific de Matematica Aplicata, Ovidius-Universitatea, Constanta, Romania, Oct. 15, 2014.
  • U. Rüde. Towards Exascale Simulation Technology, Ringvorlesung "Simulationswissenschaften", TU Clausthal, Göttingen, Oct. 1, 2014.
  • U. Rüde. Perspectives of Granular Dynamics and Lattice Boltzmann Methods in Porous Media Applications, Workshop "Reactive Flows in Deformable, Complex Media", Oberwolfach, Sept. 23, 2014.
  • B. Wohlmuth. From reduced complexity to large scale computation, PTM-DMV 2014, Pozna, Sept. 19, 2014.
  • U. Rüde. Challenges and Opportunities of Extreme Scale Numerical Simulation, Lectures on Numerical Mathematics and Applications, Uni Würzburg, Würzburg, Aug. 27, 2014.
  • U. Rüde. Is 2.44 trillion unknowns the largest finite element system that can be solved today?, 4th European Seminar on Computing (ESCO 2014), Pilsen, Jun 16, 2014.
  • U. Rüde. Is 2.44 trillion unknowns the largest finite element system that can be solved today, Einladung, Charles University, Prag, Jun 09, 2014.
  • B. Wohlmuth. Consistent modelling of interface conditions for multi-physics applications, Charles University Prague, Jun 9, 2014.
  • B. Wohlmuth. Dual and hybrid hierarchical grids for fast Stokes solvers, Schnelle iterative Löser, MFO, May 11-16, 2014.
  • J. Weismüller, B. Gmeiner, M. Mohr, C. Waluga, H.-P. Bunge, Developing an exascale model for mantle convection, European Geosciences Union General Assembly 2014, Vienna, Austria, Apr. 27 - May 02, 2014.
  • U. Rüde. Is 2,44 trillion unknowns the largest finite element system that can be solved today?, Workshop "Advances in Numerical Algorithms and High Performance Computing", London, Apr. 14, 2014.
  • C. Waluga. Discretization Concepts for Terra-Neo. ExaStencils workshop 2014, University of Dresden, Germany, Mar. 31 - Apr. 1, 2014.
  • B. Wohlmuth. Duality and hierarchy in modern finite element analysis, Department of Mathematics, The University of Texas at Austin, Mar. 21, 2014.
  • U. Rüde. The waLBerla Framework: Multi-physics Simulations on Heterogeneous Platforms, 16th SIAM Conference on Parallel Processing for Scientific Computing (PP 14), SIAM, Portland, USA, Feb. 20, 2014.
  • B. Wohlmuth. Numerical schemes for variational inequalities in PDE based contact problems, BIRS, Banff, Feb. 19, 2014.
  • U. Rüde, Towards an Integrated Performance Oriented Co-Design Methodology, Dagstuhl Seminar "Connecting Performance Analysis and Visualization to Advance Extreme Scale Computing", Jan. 09, 2014.

2013

  • B. Gmeiner, C. Waluga, U. Rüde, B. Wohlmuth, Performance and Scalability of Hierarchical Hybrid Multigrid Solvers for Stokes Systems, New Algorithms for Exascale Computing, University of Cologne, Germany, Dec. 5, 2013.
  • U. Rüde, Towards Exa-Scale Simulation for Science and Engineering, Invitation, EDF, Paris, Nov. 29, 2013.
  • B. Gmeiner, U. Rüde, C. Waluga, and B. Wohlmuth, Mathematics meets high performance computation in geo-physics applications: Highly scalable multigrid Stokes solver for buoyancy driven non-isothermal Stokes simulation, 2014 DFG Math Calendar, p.20 (October)
  • U. Rüde, New Math for Exascale Computational Science?, DOE Workshop on Applied Mathematics Research for Exascale Computing, Washington Aug. 22, 2013.
  • H.-P. Bunge. Data Assimilation in Global Mantle Flow Models: Theory, Modelling and Uncertainties to Reconstruct Earth Structure Back in Time, invited lecture, SIAM GS13, Jun 17-20, Padua, Italy, 2013.
  • B. Gmeiner, U. Rüde, B. Wohlmuth, Peta-Scale Multigrid for the Stokes System with Finite Elements, 9th International Conference on Large-Scale Scientific Computations, Sozopol, Bulgaria, Jun. 06, 2013.
  • U. Rüde, Introduction to Parallel Scientific Computing, Workshop "Lecture on Numerical Mathematics and Applications", Zaragoza, Spain, Jun. 03, 2013.
  • J. Weismüller, M. Mohr, H.-P. Bunge, Convective patterns in a 2d mantle convection simulation, European Geosciences Union General Assembly 2013, Vienna, Austria, Apr. 07-12, 2013.
  • U. Rüde, Textbook parallel efficiency for multigrid, Weizmann Workshop 2013 on Multilevel computational methods and optimization, Israel, Apr. 04, 2013.
  • B. Gmeiner, U. Rüde, PetaScale Finite Element Methods for Hierarchical Hybrid Grids using Hybrid Parallelization, 16th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado, USA, Mar. 19, 2013.
  • B. Wohlmuth, Consistent Modeling of Interface Conditions for Multi-Physics Applications, SIAM Conference on Computational Science and Engineering, Boston, USA, Mar. 01, 2013.
  • U. Rüde, Towards Exascale Computing: Multilevel Methods and Flow Solvers for Millions of Cores, Invitation, IWR - Institutskolloquium, Interdisciplinary Center for Scientific Computing, Heidelberg, Jan. 25, 2013.

2012