The method of mothers for non-overlapping non-matching DDM

DOI10.1007/s00211-007-0090-1zbMath1130.65117OpenAlexW1992459885WikidataQ57386732 ScholiaQ57386732MaRDI QIDQ2454713

Franco Brezzi, Giancarlo Sangalli, Silvia Bertoluzza

Publication date: 16 October 2007

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-007-0090-1

zbMATH Keywords

Dirichlet problemfinite elementsnon-overlapping domain decomposition methodPoisson equationnon-matching gridsdiscretization error estimates

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Analysis of a mesh-dependent stabilization for the three fields domain decomposition method ⋮ Analysis of some injection bounds for Sobolev spaces by wavelet decomposition ⋮ A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media

Cites Work

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• Error estimate for a stabilised domain decomposition method with nonmatching grids
• A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes
• Variational discretization of elliptic boundary value problems.
• Error estimates for the three-field formulation with bubble stabilization
• The mortar element method for three dimensional finite elements
• Mixed and Hybrid Finite Element Methods
• Mixed Finite Element Methods on Nonmatching Multiblock Grids
• Non-matching Grids and Lagrange Multipliers
• Discretization methods and iterative solvers based on domain decomposition