Titlebook: Domain Decomposition Methods in Science and Engineering XVII; Ulrich Langer,Marco Discacciati,Walter Zulehner Conference proceedings 2008

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Domain Decomposition Algorithms for Mortar Discretizations in complicated structures with highly non-uniform materials. The complexity of the mortar discretizations requires fast algorithms for solving the resulting linear systems. Several domain decomposition algorithms, that have been successfully applied to conforming finite element discretizations, hav

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核心

Domain Decomposition Preconditioner for Anisotropic Diffusiononers are based on a partitioning of the mesh in (., .)-plane into non-overlapping subdomains and on a special coarsening algorithm in each of the mesh layers. The condition number of the preconditioned matrix does not depend on the coefficients in the diffusion operator. Numerical experiments confi

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SLING

Auxiliary Space AMG for H(curl) Problemsonstruct AMG (algebraic multigrid) methods had some success, see [10, 1, 6]. Exploiting available multilevel methods on auxiliary mesh for the same bilinear form led to efficient auxiliary mesh preconditioners to unstructured problems as shown in [7, 4]. A computationally more attractive approach wa

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刻苦讀書

Scalable BETI for Variational Inequalitiesnal inequalities such as those describing the equilibrium of a system of bodies in mutual contact. They exploit classical results on the FETI and BETI domain decomposition methods for elliptic partial differential equations and our recent results on quadratic programming. The results of the numerica