An Overlapping Schwarz Algorithm for Raviart--Thomas Vector Fields with Discontinuous Coefficients

DOI10.1137/110838868zbMath1267.65196OpenAlexW2083005122MaRDI QIDQ4918807

Duk-Soon Oh

Publication date: 6 May 2013

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

Full work available at URL: https://semanticscholar.org/paper/4c68b9479e3bdb69690fde56d2421f0cbf3cee79

zbMATH Keywords

numerical examplesdiscontinuous coefficientsdomain decompositionpreconditionersRaviart-Thomas finite elementoverlapping Schwarzvector valued elliptic problems

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) PDEs with low regular coefficients and/or low regular data (35R05) Preconditioners for iterative methods (65F08)

Related Items (10)

On the Design of Small Coarse Spaces for Domain Decomposition Algorithms ⋮ Additive Schwarz Methods for Convex Optimization as Gradient Methods ⋮ BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields ⋮ A Smoother Based on Nonoverlapping Domain Decomposition Methods for H(div) Problems: A Numerical Study ⋮ An Enriched Multiscale Mortar Space for High Contrast Flow Problems ⋮ A BDDC algorithm with deluxe scaling for $H(curl)$ in two dimensions with irregular subdomains ⋮ Pseudo-linear convergence of an additive Schwarz method for dual total variation minimization ⋮ Domain decomposition preconditioners for mixed finite-element discretization of high-contrast elliptic problems ⋮ A BDDC Preconditioner for Problems Posed in H(div) with Deluxe Scaling ⋮ A parallel Robin–Robin domain decomposition method for H(div)-elliptic problems

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