A New Matrixfree Approach for Largescale Geodynamic Simulations and its Performance
 Abstract
We report on a twoscale approach for efficient matrixfree finite element simulations. The proposed method is based on surrogate element matrices constructed by loworder polynomial approximations. It is applied to a Stokestype PDE system with variable viscosity as is a key component in mantle convection models. We set the ground for a rigorous performance analysis inspired by the concept of parallel textbook multigrid efficiency and study the weak scaling behavior on SuperMUC, a petascale supercomputer system. For a complex geodynamical model, we achieve a parallel efficiency of 95% on up to 47,250 compute cores. Our largest simulation uses a trillion O(10^{12}) degrees of freedom for a global mesh resolution of 1.7 km.
 BibTeX

@inproceedings{id2386, author = {Bauer, S. and Huber, M. and Mohr, M. and R\"ude, U. and Wohlmuth, B.}, booktitle = {Computational Science  ICCS 2018}, doi = {10.1007/9783319937014\_2}, editor = {Shi, Y., Fu, H., Tian, Y., Krzhizhanovskaya, V., Lees, M., Dongarra, J. and Sloot, P.}, language = {en}, pages = {1730}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, title = {A New Matrixfree Approach for Largescale Geodynamic Simulations and its Performance}, volume = {10861}, year = {2018}, }
 EndNote

%O Conference Proceedings %A Bauer, S. %A Huber, M. %A Mohr, M. %A Rüde, U. %A Wohlmuth, B. %B Computational Science  ICCS 2018 %R 10.1007/9783319937014_2 %E Shi, Y., Fu, H., Tian, Y., Krzhizhanovskaya, V., Lees, M., Dongarra, J. and Sloot, P. %G en %P 1730 %I Springer %S Lecture Notes in Computer Science %T A New Matrixfree Approach for Largescale Geodynamic Simulations and its Performance %V 10861 %D 2018