High performance domain decomposition methods on massively parallel architectures with freefem++

DOI10.1515/jnum-2012-0015zbMath1267.65195OpenAlexW2051596395MaRDI QIDQ4920686

Victorita Dolean, Frederic Hecht, Frédéric Nataf, Christophe Prud'homme, Nicole Spillane, Pierre Jolivet

Publication date: 22 May 2013

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnum-2012-0015

zbMATH Keywords

finite element methodnumerical examplesdomain decomposition methodsparallel implementationhigh performance computingDarcy equationfreefem++

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05)

Related Items (7)

Augmented Lagrangian preconditioner for large-scale hydrodynamic stability analysis ⋮ Adaptive solution of linear systems of equations based on a posteriori error estimators ⋮ GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems ⋮ High-performance modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites ⋮ On the conserved Caginalp phase-field system with logarithmic potentials based on the Maxwell-Cattaneo law with two temperatures ⋮ Massively parallel solution of elastoplasticity problems with tens of millions of unknowns using permoncube and FLLOP packages ⋮ Three-dimensional topology optimization of a fluid-structure system using body-fitted mesh adaption based on the level-set method

Uses Software

• FreeFem++
• Feel++
• PT-Scotch

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