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Titlebook: Domain Decomposition Methods in Science and Engineering XXII; Thomas Dickopf,Martin J. Gander,Luca F. Pavarino Conference proceedings 2016

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BDDC Deluxe Domain DecompositionDecomposition by Constraints) algorithms were introduced by Dohrmann [5], following the introduction of FETI-DP by Farhat et al. [9]. These two families are closely related algorithmically and have a common theory. The design of a BDDC algorithm involves the choice of a set of . and the choice of an
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Some Geometric and Algebraic Aspects of Domain Decomposition Methodsrge sparse SLAEs resulting from approximation of multi-dimensional mixed boundary value problems on non-structured grids. DDMs are used with parameterized overlapping of subdomains and various types of boundary conditions at the inner boundaries. An algorithm for automatic construction of a balancin
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Additive Schwarz Methods for DG Discretization of Elliptic Problems with Discontinuous Coefficientnuous Galerkin (DG) finite element method with triangular elements and piecewise linear functions. The resulting discrete problem is solved by a two-level additive Schwarz method. It turns out that the rate of convergence of the method is independent of the jumps of coefficient if its variation insi
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Concepts for Flexible Parallel Multi-domain SimulationsNE framework different strategies to implement Domain Decomposition methods are available. In general, parallel computations with unrelated meshes pose a major computer science challenge. We discuss an efficient algorithm to relate unrelated distributed meshes in a parallel simulation. For distribut
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