HPDDM — high-performance unified framework for domain decomposition methods. HPDDM is an efficient implementation of various domain decomposition methods (DDM) such as one- and two-level Restricted Additive Schwarz methods, the Finite Element Tearing and Interconnecting (FETI) method, and the Balancing Domain Decomposition (BDD) method. These methods can be enhanced with deflation vectors computed automatically by the framework using: Generalized Eigenvalue problems on the Overlap (GenEO), an approach first introduced in a paper by Spillane et al., or local Dirichlet-to-Neumann operators, an approach first introduced in a paper by Nataf et al. and recently revisited by Conen et al. This code has been proven to be efficient for solving various elliptic problems such as scalar diffusion equations, the system of linear elasticity, but also frequency domain problems like the Helmholtz equation. A comparison with modern multigrid methods can be found in the thesis of Jolivet.
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References in zbMATH (referenced in 5 articles )
Showing results 1 to 5 of 5.
- Haferssas, R.; Jolivet, P.; Nataf, F.: An additive Schwarz method type theory for Lions’s algorithm and a symmetrized optimized restricted additive Schwarz method (2017)
- Haferssas, Ryadh; Jolivet, Pierre; Nataf, Frédéric: An adaptive coarse space for P. L. Lions algorithm and optimized Schwarz methods (2017)
- Hapla, Vaclav; Horak, David; Pospisil, Lukas; Cermak, Martin; Vasatova, Alena; Sojka, Radim: Solving contact mechanics problems with PERMON (2016)
- Thierry, B.; Vion, A.; Tournier, S.; El Bouajaji, M.; Colignon, D.; Marsic, N.; Antoine, X.; Geuzaine, C.: GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems (2016)
- Dolean, Victorita; Jolivet, Pierre; Nataf, Frédéric: An introduction to domain decomposition methods. Algorithms, theory, and parallel implementation (2015)