Boundary Element Methods
(2nd edition)
ISBN: 9789078677314
by Goong Chen (Texas A&M University, USA) &
Jianxin Zhou (Texas A&M University, USA)
Series: Atlantis Studies in Mathematics for Engineering and Science, Volume 7.
Boundary Element Methods have become a major numerical tool in scientific and engineering problemsolving, 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 general partial, differential equation methods, Sobolev spaces, pseudodifferential and Fredholm operators and finite elements. It aims at the computation of many types of elliptic boundary value problems in potential theory, elasticity, wave propagation, and structural mechanics. Also presented are various methods and algorithms for nonlinear partial differential equations.
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.
Contents:
 Some Basic Properties of Sobolev Spaces
 Theory of Distributions
 Pseudodifferential Operators
 FiniteElement Methods
 The Potential Equation
 The Helmholtz Equation
 The Thin Plate Equation
 Linear Elastostatics
 Some Error Estimates
 BEMs for Semilinear Elliptic PDEs (I)
 BEMs for Semilinear Elliptic PDEs (II)
Readership: Applied mathematicians, physical scientists and engineers.
Publishing Date: September 2010
Hardbound, 744 pages
Price: €120.00.
back to AMES page
