Strongly Elliptic Systems and Boundary Integral Equations by William McLeanStrongly Elliptic Systems and Boundary Integral Equations by William McLean

Strongly Elliptic Systems and Boundary Integral Equations

byWilliam McLean

Paperback | January 28, 2000

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Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. William McLean provides 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 affords an ideal background for studying the modern research literature on boundary element methods.
Title:Strongly Elliptic Systems and Boundary Integral EquationsFormat:PaperbackDimensions:372 pages, 8.98 × 5.98 × 0.83 inPublished:January 28, 2000Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:052166375x

ISBN - 13:9780521663755


Table of Contents

Introduction; 1. Abstract linear equations; 2. Sobolev spaces; 3. Strongly elliptic systems; 4. Homogeneous distributions; 5. Surface potentials; 6. Boundary integral equations; 7. The Laplace equation; 8. The Helmholtz equation; 9. Linear elasticity; Appendix A. Extension operators for Sobolev spaces; Appendix B. Interpolation spaces; Appendix C. Further properties of spherical harmonics; Index of notation; Index.

From Our Editors

Without mathematical models, there are no grounds for understanding and developing research. Partial differential equations are an important part of the modelling process. William McLean explores this theory in Strongly Elliptic Systems and Boundary Integral Equations. Readers will learn everything from surface potentials to the Laplace equation to the mathematical theory of boundary integral equations. The volume also focusses on the Helmholtz equation and its role in mathematical models. This book will be a valuable research aid for anyone studying boundary element methods.

Editorial Reviews

"Overall, this is a very readable account, well-suited for people interested in boundary integral and element methods. It should be particularly useful to the numerical analysts who seek a broader and deeper understanding of the non-numerical theory." Mathematical Reviews