Skip to main content
SpringerLink
Log in

BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

2nd edition

  • Book
  • © 2010

Overview

Authors:
  1. Goong Chen

    1. Mathematics and Aerospace Engineering, Texas A&M University, College Station, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Goong Chen

    1. Mathematics National Taiwan University, Taipei, Republic of China

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Jianxin Zhou

    1. Texas A&M University, College Station, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xxvi
    Download chapter PDF

  2. Introduction

    • Goong Chen, Goong Chen, Jianxin Zhou
    Pages 1-15

  3. Some Basic Properties of Sobolev Spaces

    • Goong Chen, Goong Chen, Jianxin Zhou
    Pages 17-31

  4. Theory of Distributions

    • Goong Chen, Goong Chen, Jianxin Zhou
    Pages 33-61

  5. Pseudodifferential Operators and Their Fredholm Properties

    • Goong Chen, Goong Chen, Jianxin Zhou
    Pages 63-122

  6. Finite-Element Methods: Spaces and Properties

    • Goong Chen, Goong Chen, Jianxin Zhou
    Pages 123-189

  7. The Potential Equation

    • Goong Chen, Goong Chen, Jianxin Zhou
    Pages 191-300

  8. The Helmholtz Equation

    • Goong Chen, Goong Chen, Jianxin Zhou
    Pages 301-372

  9. The Thin Plate Equation

    • Goong Chen, Goong Chen, Jianxin Zhou
    Pages 373-439

  10. Linear Elastostatics

    • Goong Chen, Goong Chen, Jianxin Zhou
    Pages 441-505

  11. Some Error Estimates for Numerical Solutions of Boundary Integral Equations

    • Goong Chen, Goong Chen, Jianxin Zhou
    Pages 507-544

  12. Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (I): The Monotone Iteration Scheme and Error Estimates

    • Goong Chen, Goong Chen, Jianxin Zhou
    Pages 545-612

  13. Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (II): Algorithms and Computations for Unstable Solutions from Various Models

    • Goong Chen, Goong Chen, Jianxin Zhou
    Pages 613-691

  14. Back Matter

    Pages 693-715
    Download chapter PDF
Back to top

Keywords

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.

Authors and Affiliations

  • Mathematics and Aerospace Engineering, Texas A&M University, College Station, USA

    Goong Chen

  • Mathematics National Taiwan University, Taipei, Republic of China

    Goong Chen

  • Texas A&M University, College Station, USA

    Jianxin Zhou

Bibliographic Information

Publish with us

Policies and ethics

Societies and partnerships

Back to top

Search

Navigation