Strongly Elliptic Systems and Boundary Integral Equations

By: William McLean

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Hardcover | 15 April 2000

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Hardcover
372 Pages

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16.1 x 23.8 x 2.9

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Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book, first published in 2000, treats one class of such equations, concentrating on methods involving the use of surface potentials. It provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains. Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book is designed to provide an ideal preparation for studying the modern research literature on boundary element methods.

Industry Reviews

'... well written and provides a good preparation for studying the modern research literature or a good base for a graduatge course.' G. Teschl, Monatshefte fur Mathematik '... a good source of information for scientists and engineers interested in learning about boundary integral equation techniques ...'. C. Constanda, Proceedings of the Edinburgh Mathematical Society 'The author is to be congratulated on successfully establishing a bridge between basic undergraduate material and the modern research literature in boundary element methods ... Compliments are due both to the author and also to his numerous associates - duly acknowledged in the preface - for generating a concise and professional presentation of conceptually difficult material.' The Mathematical Gazette

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Introduction
Abstract linear equations
Sobolev spaces
Strongly elliptic systems
Homogeneous distributions
Surface potentials
Boundary integral equations
The Laplace equation
The Helmholtz equation
Linear elasticity
Extension operators for Sobolev spaces
Interpolation spaces
Further properties of spherical harmonics
Index of notation
Index
Table of Contents provided by Publisher. All Rights Reserved.

Strongly Elliptic Systems and Boundary Integral Equations

At a Glance

Hardcover

Industry Reviews

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How to return your order

Defective items

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