Strongly Elliptic Systems and Boundary Integral Equations
Published on 28. January 2000
Book
Paperback/Softback
372 pages
978-0-521-66375-5 (ISBN)
Description
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.
Reviews / Votes
'... well written and provides a good preparation for studying the modern research literature or a good base for a graduatge course.' G. Teschl, Monatshefte fuer 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 GazetteMore details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
4 Line drawings, unspecified
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 22 mm
Weight
603 gr
ISBN-13
978-0-521-66375-5 (9780521663755)
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Schweitzer Classification
Person
Content
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.