domain decomposition algorithms indefinite von cai xiao chuan (5 Ergebnisse)

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Paperback. Zustand: New. Print on Demand. In this book, the author presents an iterative method that solves linear systems of algebraic equations that arise from finite element problems of elliptic nature. These issues are common in computational mechanics and the finite element method is a modern technique for finding approximate solutions to partial differential equations. The text focuses on problems with symmetric or non-symmetric and indefinite properties. The indefinite case includes some eigenvalues in the left half plane, which is a situation that can lead to difficulties with convergence. The author was able to find an alternative linear system that has the same solution as the original problem, thus allowing a solution via GMRES, a generalized conjugate residual method. In each iteration step, local problems are solved on small overlapping subregions of the original area, and a coarse mesh finite element problem is also solved, yielding a method that provides a way to construct preconditioners for many problems in terms of partitioning a certain finite element space into subspaces. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.

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