The Neumann-Dirichlet domain decomposition method with inexact solvers on the subdomains

DOI10.1007/BF01406510zbMath0652.65080OpenAlexW2061609183MaRDI QIDQ1107286

Christoph Börgers

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/133347

zbMATH Keywords

speed of convergencedomain decomposition with inexact subsolversmesh size independent convergenceNeumann-Dirichlet domain decomposition method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

• A finite element - capacitance method for elliptic problems on regions partitioned into subregions
• An Iterative Method for Elliptic Problems on Regions Partitioned into Substructures
• A Domain Decomposition Laplace Solver for Internal Combustion Engine Modeling
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
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