Description
Book SynopsisThe computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques. In relatively simple terms, this book describes a class of techniques that fulfill this need by providing closed-form solutions to many boundary value problems that arise in science and engineering.
Boundary integral equation methods (BIEM''s) have certain advantages over other procedures for solving such problems: BIEM''s are powerful, applicable to a wide variety of situations, elegant, and ideal for numerical treatment. Certain fundamental constructs in BIEM''s are also essential ingredients in boundary element methods, often used by scientists and engineers.
However, BIEM''s are also sometimes more difficult to use in plane cases than in their three-dimensional counterparts. Consequently, the full, detailed BIEM treatment of two-dimensional probl
Trade Review"The text is written clearly and the proofs are given in detail."
M. Aron, Proceedings of the Edinburgh Mathematical Society, Vol. 44, 445-448, 2001
"…the book offers a comprehensive treatment of the subject matter and constitutes a very useful source of information for mathematicians and other scientists interested in boundary integral equation methods.
M. Aron, Proceedings of the Edinburgh Mathematical Society, Vol. 44, 445-448, 2001
Table of ContentsIntroduction. The Laplace Equation. Plane Strain. Bending of Elastic Plates. Which Method?
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