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Boundary Element Methods with Applications to Nonlinear Problems

  • Goong Chen
  • Goong Chen
  • Jianxin Zhou
Book

Part of the Atlantis Studies in Mathematics for Engineering and Science book series (ASMES, volume 7)

Table of contents

  1. Front Matter
    Pages i-xxvi
  2. Goong Chen, Goong Chen, Jianxin Zhou
    Pages 1-15
  3. Goong Chen, Goong Chen, Jianxin Zhou
    Pages 17-31
  4. Goong Chen, Goong Chen, Jianxin Zhou
    Pages 33-61
  5. Goong Chen, Goong Chen, Jianxin Zhou
    Pages 63-122
  6. Goong Chen, Goong Chen, Jianxin Zhou
    Pages 123-189
  7. Goong Chen, Goong Chen, Jianxin Zhou
    Pages 191-300
  8. Goong Chen, Goong Chen, Jianxin Zhou
    Pages 301-372
  9. Goong Chen, Goong Chen, Jianxin Zhou
    Pages 373-439
  10. Goong Chen, Goong Chen, Jianxin Zhou
    Pages 441-505
  11. Goong Chen, Goong Chen, Jianxin Zhou
    Pages 507-544
  12. Back Matter
    Pages 693-715

About this book

Introduction

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.

Keywords

distribution engineering finite element method mathematics science

Authors and affiliations

  • Goong Chen
    • 1
  • Goong Chen
    • 2
  • Jianxin Zhou
    • 3
  1. 1.Mathematics and Aerospace EngineeringTexas A&M UniversityCollege StationUSA
  2. 2.Mathematics National Taiwan UniversityTaipeiRepublic of China
  3. 3.Texas A&M UniversityCollege StationUSA

Bibliographic information