Domain Decomposition Methods in Science and Engineering XX
Randolph Bank, Michael Holst, Olof Widlund, Jinchao Xu
Springer Science & Business Media, Jul 3, 2013 - Mathematics - 686 pages
These are the proceedings of the 20th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linearor nonlinear systems of algebraic equations that arise when various problems in continuum mechanics are discretized using finite elements. They are designed for massively parallel computers and take the memory hierarchy of such systems in mind. This is essential for approaching peak floating point performance. There is an increasingly well developed theory whichis having a direct impact on the development and improvements of these algorithms.
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algorithm Anal applied approximation basis functions BDDC Berlin Heidelberg 2013 bilinear form bound boundary conditions Charbel Farhat coarse space coefﬁcients Computational Science condition number constant contact problems coupling deﬁned denote Dirichlet discretization Domain Decomposition Methods edge efﬁcient eigenvalues elliptic problems Engineering 91 Engineering XX Engrg equations estimate FETI-DP ﬁeld ﬁnd ﬁne ﬁnite element ﬁnite element method ﬁnite element space ﬁrst ﬁxed ﬂow Galerkin methods GMRES grid Helmholtz equation interface Lagrange multipliers Lecture Notes Lemma linear elasticity linear system Math Mathematics matrix mesh Methods in Science multigrid methods nodes nonlinear Notes in Computational obtain operator optimized Schwarz overlapping parallel parameter partition partition of unity PDEs piecewise polynomial preconditioned preconditioner reﬁnement satisﬁes scalability Schur complement Schwarz methods Schwarz waveform relaxation Science and Engineering Sect SIAM solution solve solver Springer Springer-Verlag Berlin Heidelberg step subdomains subspace Theorem transmission conditions triangulation two-level vector Widlund