Decomposition of energy spaces and applications

DOI10.1016/S0764-4442(00)88622-XzbMath0938.65081OpenAlexW1971998329MaRDI QIDQ4719826

Olivier Pironneau, Roland Glowinski, Jacques Louis Lions

Publication date: 5 June 2000

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(00)88622-x

zbMATH Keywords

convergencefinite element methodnumerical experimentsHilbert spacesdomain decomposition methodsPoisson equationelliptic problemsparallelizationL-shaped domainconjugate gradient algorithmslinear variational problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

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