Finite Volume Methods for Domain Decomposition on Nonmatching Grids with Arbitrary Interface Conditions

DOI10.1137/S0036142903434059zbMath1088.65100OpenAlexW2000428717MaRDI QIDQ5700297

Isabelle Faille, Frédéric Nataf, Laurent Saas, Françoise Willien

Publication date: 28 October 2005

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

Full work available at URL: https://doi.org/10.1137/s0036142903434059

zbMATH Keywords

numerical resultserror estimatesdomain decomposition methodsfinite volumenonmatching gridsRobin interface conditionsoptimized Schwarz methodDirichlet-Neumann interface conditionstransmission operators,

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

A cell functional minimization scheme for parabolic problem ⋮ The Hermite radial basis function control volume method for multi-zones problems; A non-overlapping domain decomposition algorithm ⋮ A cell functional minimization scheme for domain decomposition method on non-orthogonal and~non-matching meshes ⋮ A NEW INTERFACE CEMENT EQUILIBRATED MORTAR (NICEM) METHOD WITH ROBIN INTERFACE CONDITIONS: THE P₁ FINITE ELEMENT CASE ⋮ Improved ad hoc interface conditions for Schwarz solution procedure tuned to highly heterogeneous media ⋮ Optimized Schwarz methods without overlap for highly heterogeneous media ⋮ Error estimate for a finite volume scheme in a geometrical multi-scale domain

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