Item description for Numerical Solution of Elliptic Differential Equations by Reduction to the Interface by Boris N. Khoromskij...
This is the first book that deals systematically with the numerical solution of elliptic partial differential equations by their reduction to the interface via the Schur complement. Inheriting the beneficial features of finite element, boundary element and domain decomposition methods, our approach permits solving iteratively the Schur complement equation with linear-logarithmic cost in the number of the interface degrees of freedom. The book presents the detailed analysis of the efficient data-sparse approximation techniques to the nonlocal Poincar-Steklov interface operators associated with the Laplace, biharmonic, Stokes and Lam equations. Another attractive topic are the robust preconditioning methods forelliptic equations with highly jumping, anisotropic coefficients. A special feature of the book is a unified presentation of the traditional iterative substructuring and multilevel methods combined with modern matrix compression techniques applied to the Schur complement on the interface.
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Est. Packaging Dimensions: Length: 9.1" Width: 6.1" Height: 1" Weight: 0.85 lbs.
Release Date Mar 31, 2004
ISBN 3540204067 ISBN13 9783540204060
Availability 51 units. Availability accurate as of May 27, 2017 07:23.
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