Atlantis Studies in Mathematics for Engineering and Science

BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

2nd edition

Authors: Chen, Goong, Zhou, Jianxin

Buy this book

eBook $169.00
price for USA (gross)
  • ISBN 978-94-91216-27-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
About this book

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.

Table of contents (12 chapters)

  • Introduction

    Chen, Goong (et al.)

    Pages 1-15

  • Some Basic Properties of Sobolev Spaces

    Chen, Goong (et al.)

    Pages 17-31

  • Theory of Distributions

    Chen, Goong (et al.)

    Pages 33-61

  • Pseudodifferential Operators and Their Fredholm Properties

    Chen, Goong (et al.)

    Pages 63-122

  • Finite-Element Methods: Spaces and Properties

    Chen, Goong (et al.)

    Pages 123-189

Buy this book

eBook $169.00
price for USA (gross)
  • ISBN 978-94-91216-27-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS
Book Subtitle
2nd edition
Authors
Series Title
Atlantis Studies in Mathematics for Engineering and Science
Series Volume
7
Copyright
2010
Publisher
Atlantis Press
Copyright Holder
Atlantis Press and the authors
eBook ISBN
978-94-91216-27-5
DOI
10.2991/978-94-91216-27-5
Series ISSN
1875-7642
Edition Number
2
Number of Pages
XXVI, 715
Topics