N–N Solvers for a DG Discretization for Geometrically Nonconforming Substructures and Discontinuous Coefficients

DOI10.1007/978-3-642-11304-8_3zbMath1217.65209OpenAlexW106670244MaRDI QIDQ2998403

Juan Galvis, Maksymilian Dryja, Markus V. Sarkis

Publication date: 18 May 2011

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-11304-8_3

zbMATH Keywords

numerical resultsdiscontinuous coefficientscondition numberdiscontinuous Galerkin methodsecond-order elliptic equationsadditive Neumann-Neumann (N-N) Schwarz methodconforming finite element spaceparallel number

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) Parallel numerical computation (65Y05)

Cites Work

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• Uniformly convergent iterative methods for discontinuous Galerkin discretizations
• BDDC methods for discontinuous Galerkin discretization of elliptic problems
• Neumann-Neumann methods for a DG discretization on geometrically nonconforming substructures
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• Raytcho Lazarov - 60
• Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems
• A BDDC Method for Mortar Discretizations Using a Transformation of Basis

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