Accelerating the method of finite element patches using approximately harmonic functions

DOI10.1016/j.crma.2007.06.006zbMath1120.65126OpenAlexW2050335892MaRDI QIDQ2643495

Jiwen He, Alexei Lozinski, Jacques Rappaz

Publication date: 23 August 2007

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.2007.06.006

zbMATH Keywords

convergencenumerical experimentsfinite elementPoisson equationelliptic problemsdomain decomposition method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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 ⋮ A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities ⋮ Numerical zoom for advection diffusion problems with localized multiscales

Uses Software

• FreeFem++

Cites Work

• Approximation of multi-scale elliptic problems using patches of finite elements.
• Finite element approximation of multi-scale elliptic problems using patches of elements
• Accelerating the method of finite element patches using approximately harmonic functions
• Analysis of a Chimera method
• Multiscale algorithm with patches of finite elements

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