The Mortar Element Method with Overlapping Subdomains

DOI10.1137/S0036142900375256zbMath1020.65086OpenAlexW2041093005MaRDI QIDQ4787280

Yves Achdou

Publication date: 5 January 2003

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142900375256

zbMATH Keywords

finite elementLaplace equationmortar element methodnonconforming methodadditive Schwarz preconditionersoverlapping domain decomposition method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

Approximation of multi-scale elliptic problems using patches of finite elements. ⋮ HP a-priori error estimates for a non-dissipative spectral discontinuous Galerkin method to solve the Maxwell equations in the time domain ⋮ An overlapping mortar element approach to coupled magneto-mechanical problems ⋮ A finite element method on composite grids based on Nitsche's method ⋮ Numerical zoom for advection diffusion problems with localized multiscales ⋮ Finite element approximation of multi-scale elliptic problems using patches of elements

This page was built for publication: The Mortar Element Method with Overlapping Subdomains