A Neumann-Neumann algorithm for a mortar discretization of elliptic problems with discontinuous coefficients

DOI10.1007/s00211-004-0573-2zbMath1069.65135OpenAlexW2061152147MaRDI QIDQ1770239

Maksymilian Dryja

Publication date: 14 April 2005

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

Full work available at URL: https://doi.org/10.1007/s00211-004-0573-2

zbMATH Keywords

convergencediscontinuous coefficientsparallel computationmortar finite elementadditive Schwarz methodsNeumann-Neumann algorithm

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)

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Cites Work

• The mortar element method for three dimensional finite elements
• Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions
• Balancing domain decomposition for problems with large jumps in coefficients
• Schwarz methods of neumann‐neumann type for three‐dimensional elliptic finite element problems
• Discretization methods and iterative solvers based on domain decomposition
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