Boundary Element Methods with Applications to Nonlinear Problems

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.