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

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Class of Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problemsonstruction and analysis of two-level methods which share the features of the classical Schwarz techniques for conforming finite element discretizations. Numerical experiments confirming the theoretical results are also included.
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https://doi.org/10.1007/978-3-540-75199-1Operator; Simulation; algorithms; calculus; computational sciences; construction; domain decomposition met
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978-3-540-75198-4Springer-Verlag Berlin Heidelberg 2008
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Domain Decomposition Methods in Science and Engineering XVII978-3-540-75199-1Series ISSN 1439-7358 Series E-ISSN 2197-7100
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https://doi.org/10.1007/978-3-031-60884-1oners 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 confirm the theoretical results.
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States and events: elementary system modulesonstruction and analysis of two-level methods which share the features of the classical Schwarz techniques for conforming finite element discretizations. Numerical experiments confirming the theoretical results are also included.
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