Titlebook: Domain Decomposition Methods in Science and Engineering XX; Randolph Bank,Michael Holst,Jinchao Xu Conference proceedings 2013 Springer-Ve

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Robust Parameter-Free Multilevel Methods for Neumann Boundary Control Problemsa on the boundary of a convex polygonal domain. The optimal control unknown is the one for which the harmonic extension approximates best a specified target in the interior of the domain. We propose a multilevel preconditioner for the reduced Hessian resulting from the application of the Schur compl

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MORT

A Subspace Correction Method for Nearly Singular Linear Elasticity Problemsuations arising from a nonconforming finite element discretization based on reduced integration.We introduce a specific space decomposition into two overlapping subspaces that serves as a basis for devising a uniformly convergent subspace correction algorithm. We consider the equations of linear ela

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https://doi.org/10.1007/978-3-031-67165-4In this work, we study mesh regularization in Bank-Holst parallel adaptive paradigm when adaptive enrichment in both . (geometry) and . (degree) is used. The paradigm was first introduced by Bank and Holst in [1–3] and later extended to .-adaptivity in [5]. In short, the paradigm can be summarized in the following steps.

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”: An Overview of AI and Human NatureLet . be a bounded polygonal domain, . and .

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Lecture Notes in Computer ScienceWe present an Algebraic Multigrid (AMG) method for graph Laplacian problems. The coarse graphs are constructed recursively by pair-wise aggregation, or matching as in [3] and we use an Algebraic Multilevel Iterations (AMLI) [1, 6] for the solution phase.

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Sciatica

Robust Coarsening in Multiscale PDEsConsider a variationally–posed second–order elliptic boundary value problem . with solution . and domain . where the coefficient tensor . is highly . (possibly in a spatially complicated way).