BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS (2ND EDITION) (Atlantis Studies in Mathematics for Engineering and Science)

Chen, Goong,Zhou, Jianxin

ISBN 10: 9078677317 / ISBN 13: 9789078677314

Verlag: Atlantis Press / World Scientifi, 2010

Beschreibung

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Bibliografische Details

Titel: BOUNDARY ELEMENT METHODS WITH APPLICATIONS ...

Verlag: Atlantis Press / World Scientifi

Erscheinungsdatum: 2010

Einband: hardcover

Zustand: Very Good

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Inhaltsangabe:

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 GENERAL PARTIAL, DIFFERENTIAL EQUATION METHODS, SOBOLEV SPACES, PSEUDO-DIFFERENTIAL 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.

Reseña del editor:

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.