Multiscale algorithm with patches of finite elements

DOI10.1016/j.matcom.2007.02.003zbMath1135.65400OpenAlexW2102139004WikidataQ59241757 ScholiaQ59241757MaRDI QIDQ5920481

Marco Picasso, Vittoria Rezzonico, Jacques Rappaz, Alexei Lozinski, Joël Wagner

Publication date: 28 March 2008

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2007.02.003

zbMATH Keywords

numerical examplesfinite element methodsboundary layersoscillationsPoisson equationelliptic problemssuccessive space correction

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)

Accelerating the method of finite element patches using approximately harmonic functions ⋮ Tensor-based multiscale method for diffusion problems in quasi-periodic heterogeneous media ⋮ Residual error based adaptive mesh refinement with the non-intrusive patch algorithm

Cites Work

• Finite element approximation of multi-scale elliptic problems using patches of elements
• Analysis of a Chimera method
• The method of alternating projections and the method of subspace corrections in Hilbert space
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