Boundary Element Methods: Computational Mathematics and Applications - Hardcover

9780121709402: Boundary Element Methods: Computational Mathematics and Applications

Hardcover

ISBN 10: 012170940X ISBN 13: 9780121709402

Publisher: Academic Press Inc, 1992

The boundary element method (BEM) has become a major numerical tool in scientific and engineering problem solving, with particular applications in the solution of partial differential equations in engineering. This book has been written as a self-contained reference, combining both the mathematical rigor necessary for a full understanding of BEM, and extensive examples of applications and illustrations.

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From the Back Cover

Boundary Element Methods have become a major numerical tool in scientific and engineering problem-solving, with particular applications to numerical computations and simulations of partial differential equations in engineering.Boundary Element Methods provides a rigorous and systematic account of the modern mathematical theory of Boundary Element Methods, including the requisite background on generla partial, differential equation methods, Sobolev spaces, pseudodifferential and Fredholm operators and finite elements. This book is principally concerned with presenting mathematical formulations of boundary integral equations (BIE) for the most important linear elliptic boundary value problems (BVP) including, the potential equation, Helmholtz, thin plate, elastostatics equations, and discussing their computational algorithms and the accuracy of their solutions.This second edition has been fully revised and combines the mathematical rigour necessary for a full understanding of the subject, with extensive examples of applications illustrated with computer graphics. This book is intended as a textbook and reference for applied mathematicians, physical scientists and engineers at graduate and research level. It will be an invaluable sourcebook for all concerned with numerical modeling and the solution of partial differential equations.

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