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

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Introduction to the Rift Valleynuous 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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Auxiliary Space Multigrid Method for Elliptic Problems with Highly Varying Coefficientseveloping area of scientific research. In many applications these systems are very large, sparse and therefore it is vital to construct (quasi-)optimal iterative methods that converge independently of problem parameters.

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BDDC Deluxe for Isogeometric Analysisogeometric Analysis (IGA), based on a novel type of interface averaging, which we will denote by ., with either full or reduced set of primal constraints. IGA is an innovative numerical methodology, introduced in [17] and first analyzed in [1], where the geometry description of the PDE domain is ado

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