Coarse grid spaces for domains with a complicated boundary

DOI10.1023/A:1019157313043zbMath0939.65134OpenAlexW384695224MaRDI QIDQ1817803

Harry Yserentant

Publication date: 10 July 2000

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019157313043

zbMATH Keywords

finite elementcondition numbermultigrid methodsboundary elementsoptimal complexitydomains of complicated shape

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Complexity and performance of numerical algorithms (65Y20)

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Two-scale composite finite element method for Dirichlet problems on complicated domains ⋮ The efficient implementation of a finite element, multi-resolution viscosity method for hyperbolic conservation laws ⋮ Error Estimates for Two-Scale Composite Finite Element Approximations of Nonlinear Parabolic Equations ⋮ Efficient numerical solution of Neumann problems on complicated domains ⋮ Boundary concentrated finite elements for optimal boundary control problems of elliptic PDEs ⋮ Finite element methods for the Stokes problem on complicated domains ⋮ Coarsening of boundary-element spaces ⋮ A nearly optimal multigrid method for general unstructured grids ⋮ Multiscale methods for problems with complex geometry ⋮ Hierarchical matrix approximation to Green's function via boundary concentrated FEM ⋮ Multilevel preconditioning for the boundary concentrated \(hp\)-FEM

Uses Software

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