An Adaptive WEM Algorithm for Solving Elliptic Boundary Value Problems in Fairly General Domains

DOI10.1137/04062014XzbMath1127.65084OpenAlexW1983314178MaRDI QIDQ5428399

Tomáš Kozubek, Stefano Berrone

Publication date: 22 November 2007

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/04062014x

zbMATH Keywords

numerical examplesrates of convergencePoisson equationelliptic operator equationsadaptive wavelet and finite element methodswavelet element method (WEM)

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) General theory of numerical analysis in abstract spaces (65J05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (6)

`Les fleurs du mal'. II: A dynamically adaptive wavelet method of arbitrary lines for nonlinear evolutionary problems-capturing steep moving fronts ⋮ Adaptive wavelet methods on unbounded domains ⋮ A wavelet-based nested iteration-inexact conjugate gradient algorithm for adaptively solving elliptic PDEs ⋮ An optimal adaptive wavelet method for nonsymmetric and indefinite elliptic problems ⋮ A residual a posteriori error estimate for the Virtual Element Method ⋮ A new marking strategy for the adaptive finite element approximation of optimal control constrained problems

Uses Software

• ALBERTA

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