A multi-domain method for solving numerically multi-scale elliptic problems

DOI10.1016/j.crma.2004.02.014zbMath1049.65145OpenAlexW2061178176MaRDI QIDQ1876840

Joël Wagner, Jiwen He, Roland Glowinski, Jacques Rappaz

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.2004.02.014

zbMATH Keywords

domain decompositionsecond-order elliptic problemsiterative methodsmortar element methodmultilevel methodmulti-scale elliptic problemsPoission equation

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) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

A multi-domain method for solving numerically multi-scale elliptic problems ⋮ A concurrent global-local numerical method for multiscale PDEs ⋮ A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids

Cites Work

• Approximation of multi-scale elliptic problems using patches of finite elements.
• A multi-domain method for solving numerically multi-scale elliptic problems
• The mortar finite element method with Lagrange multipliers
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