Domain decomposition method and nodal finite element for solving Helmholtz equation

DOI10.1016/j.crma.2004.06.002zbMath1049.65141OpenAlexW2061744750MaRDI QIDQ1876935

Abderrahmane Bendali, Yassine Boubendir

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.06.002

zbMATH Keywords

algorithmconvergenceLaplace equationHelmholtz equationnon-overlapping domain decomposition methodconformal nodal finite element method

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)

Related Items (3)

An analysis of the BEM-FEM non-overlapping domain decomposition method for a scattering problem ⋮ A NONCONFORMING DOMAIN DECOMPOSITION SCHEME BASED ON A DISCRETIZATION WITHOUT CROSS-POINTS AND ALTERNATING OBLIQUE PROJECTIONS ⋮ Non-overlapping domain decomposition method for a nodal finite element method

Cites Work

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• Domain decomposition method for harmonic wave propagation: A general presentation
• Non-overlapping domain decomposition method for a nodal finite element method
• Optimized Schwarz Methods without Overlap for the Helmholtz Equation

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