A nonoverlapping domain decomposition method for nonconforming finite element problems

DOI10.3934/cpaa.2003.2.297zbMath1048.65123OpenAlexW2015280312MaRDI QIDQ1424064

Qingping Deng

Publication date: 8 March 2004

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2003.2.297

zbMATH Keywords

convergencenumerical examplesiterative methodparallel algorithmsnon-overlapping domain decomposition methodsecond-order elliptic boundary value problemsCrouzeix-Raviart elementsRobin-type boundary conditionsnon-conforming finite element method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

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A Robin-Type Domain Decomposition Method for a Novel Mixed-Type DG Method for the Coupled Stokes--Darcy Problem ⋮ An optimal Robin-Robin domain decomposition method for Stokes equations ⋮ A priori error analysis of the mortar finite element method for variational inequalities ⋮ On the convergence rate of a parallel nonoverlapping domain decomposition method ⋮ A robust domain decomposition method for the Helmholtz equation with high wave number ⋮ A parallel Robin–Robin domain decomposition method for H(div)-elliptic problems

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