Erratum to “Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes”
نویسندگان
چکیده
منابع مشابه
Some Domain Decomposition Methods for Indefinite Elliptic Problems on Unstructured Meshes
In this paper, we analyze some domain decomposition methods for inde nite elliptic problems on unstructured meshes. Our theory requires no assumption on the shape of subdomains. They can have arbitrary shape. Unlike the usual domain decomposition, the coarse and ne triangulations need not be nested and quasi-uniform. Furthermore, the nodes of substructures are not necessary to be the coarse gri...
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Multigrid and domain decomposition methods have proven to be versatile methods for the iterative solution of linear and nonlinear systems of equations arising from the discretization of partial differential equations. The efficiency of these methods derives from the use of a grid hierarchy. In some applications to problems on unstructured grids, however, no natural multilevel structure of the g...
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In this paper, we discuss the vertex space domain decomposition method (VSDDM) for solving the algebraic system of equations which arise from the discretization of symmetric and positive de nite elliptic boundary value problems via nite element methods on general unstructured meshes. Our theory does not require that the subdomains are shape regular and coarse grid is nested to the ne grid. Furt...
متن کاملAdditive Schwarz Methods for Elliptic Mortar Finite Element Problems
Additive Schwarz Methods for Elliptic Mortar Finite Element Problems Petter E. Bjørstad1?, Maksymilian Dryja2??, Talal Rahman3 1 Institute for Informatics, University of Bergen, N-5020 Bergen, Norway. e-mail: [email protected] 2 Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland. e-mail: [email protected] 3 Institute for Mathematics, University of Augsburg, Universit...
متن کاملAdditive Schwarz for Anisotropic Elliptic Problems
Strong anisotropic behavior is known to cause difficulties for many standard iterative methods when solving the algebraic equations resulting from a discrete approximation of a partial differential equation. We present a robust domain decomposition algorithm that will work reliably also under such conditions. The method is derived and discussed on a model region, but our construction shows what...
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ژورنال
عنوان ژورنال: Numerical Algorithms
سال: 1995
ISSN: 1017-1398,1572-9265
DOI: 10.1007/bf02141598