Titlebook: Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations; Tarek Poonithara Abraham Mathew Book 2008 Sprin

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1439-7358 , non-matching grid discretizations, heterogeneous models, fictitious domain methods, variational inequalities, maximum norm theory, eigenvalue problems, optimization problems and the Helmholtz scattering problem. Selected convergence theory is also included..978-3-540-77205-7978-3-540-77209-5Series ISSN 1439-7358 Series E-ISSN 2197-7100

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Melissa Anna Murphy,Pavel Grabalov elliptic equation. Our discussion will be organized as follows. In §12.1, we describe the vanishing viscosity approach of [GA15] for constructing an elliptic-hyperbolic approximation on a non-overlapping decomposition. In §12.2, we describe an elliptic-hyperbolic approximation on overlapping subdom

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Schwarz Iterative Algorithms,bdomains decreases, provided a . residual correction term is employed [DR11, KU6, XU3, MA15, CA19, CA17]..Our focus in this chapter will be on describing the .of Schwarz algorithms for iteratively solving the linear system .u = f obtained by the discretization of an elliptic equation. The matrix ver

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Schur Complement and Iterative Substructuring Algorithms,describes FFT based fast .solvers for Schur complement systems on rectangular domains with stripwise constant coefficients. Chap. 3.4 describes several preconditioners for two subdomain Schur complement matrices, while Chap. 3.5 and Chap. 3.6 describe multi-subdomain preconditioners for Schur comple

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