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• W2340873561 abstract "A domain decomposition algorithm, similar to classical iterative substructuring al- gorithms, is presented for two-dimensional problems in the space H0(curl;). It is defined in terms of a coarse space and local subspaces associated with individual edges of the subdomains into which the domain of the problem has been subdivided. The algorithm differs from others in three basic respects. First, it can be implemented in an algebraic manner that does not require access to indi- vidual subdomain matrices or a coarse discretization of the domain; this is in contrast to algorithms of the BDDC, FETI-DP, and classical two-level overlapping Schwarz families. Second, favorable condition number bounds can be established over a broader range of subdomain material properties than in previous studies. Third, we are able to develop theory for quite irregular subdomains and bounds for the condition number of our preconditioned conjugate gradient algorithm, which depend only on a few geometric parameters. The coarse space for the algorithm is based on simple energy minimization concepts, and its dimension equals the number of subdomain edges. Numerical results are presented which confirm the theory and demonstrate the usefulness of the algorithm for a variety of mesh decompositions and distributions of material properties." @default.
• W2340873561 created "2016-06-24" @default.
• W2340873561 creator A5061874474 @default.
• W2340873561 date "2010-01-01" @default.
• W2340873561 modified "2023-09-27" @default.
• W2340873561 title "AN ITERATIVE SUBSTRUCTURING ALGORITHM FOR TWO-DIMENSIONAL PROBLEMS IN H(CURL) TR2010-936" @default.
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