Overlapping Domain Decomposition Methods with FreeFem++
In this note, the performances of a framework for two-level overlapping domain decomposition methods are assessed. Numerical experiments are run on Curie, a Tier-0 system for PRACE, for two second order elliptic PDE with highly heterogeneous coefficients: a scalar equation of diffusivity and the system of linear elasticity. Those experiments yield systems with up to ten billion unknowns in 2D and one billion unknowns in 3D, solved on few thousands cores.
KeywordsDomain Decomposition Method Finite Element Space Master Process Krylov Method Local Partition
This work has been supported in part by ANR through COSINUS program (project PETALh no. ANR-10-COSI-0013 and projet HAMM no. ANR-10-COSI-0009). It was granted access to the HPC resources of TGCC@CEA made available within the Distributed European Computing Initiative by the PRACE-2IP, receiving funding from the European Community’s Seventh Framework Programme (FP7/2007-2013) under grant agreement RI-283493.
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