Iterative Methods for the Solution of Elliptic Problems on Regions, Partitioned Into Substructures (Classic Reprint) - Hardcover

Petter E. Bjorstad

9780656021260: Iterative Methods for the Solution of Elliptic Problems on Regions, Partitioned Into Substructures (Classic Reprint)

Hardcover

ISBN 10: 0656021268 ISBN 13: 9780656021260

Publisher: Forgotten Books, 2018

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Solve large elliptic problems by splitting the region into substructures and solving with fast, parallel iterative methods.

This edition presents methods for partitioning a region into subregions and coordinating solutions at their interfaces. It emphasizes iterative approaches that avoid full Gaussian factorization, while still exploiting direct solutions for local subproblems. The discussion blends theory with practical strategies for finite element discretizations and parallel computation, focusing on how substructure interactions are represented and handled.

How to decompose and assemble stiffness matrices from subregions for efficient computation
Preconditioned conjugate gradient methods and related iterative schemes
Spectral bounds and convergence analysis for these solvers on model and general problems
Applications to Poisson’s equation and second-order elliptic problems using conforming Lagrangian elements

Ideal for readers of applied mathematics, numerical analysis, and engineering who work with finite element models, domain decomposition, and parallel solvers.

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