Natural boundary integral method and its applications

Author(s)

    • Yu, De-hao

Bibliographic Information

Natural boundary integral method and its applications

by De-hao Yu

(Mathematics and its applications, v. 539)

Science Press , Kluwer Academic Publishers, c2002

  • Science Press Beijing
  • Kluwer Academic Publishers

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Note

Includes bibliographical references (p. [521]-534) and index

Description and Table of Contents

Description

Boundary element methods are very important for solving boundary value problems in PDEs. Many boundary value problems of partial differential equations can be reduced into boundary integral equations by the natural boundary reduction. In this book the natural boundary integral method, suggested and developed by Feng and Yu, is introduced systematically. It is quite different from popular boundary element methods and has many distinctive advantages. The variational principle is conserved after the natural boundary reduction, and some useful properties are also preserved faithfully. Moreover, it can be applied directly and naturally in the coupling method and the domain decomposition method of finite and boundary elements. Most of the material in this book has only appeared in the author's previous papers. Compared with its Chinese edition (Science Press, Beijing, 1993), many new research results such as the domain decomposition methods based on the natural boundary reduction are added.

Table of Contents

Preface. I. General Principle of the Natural Boundary Integral Method. II. Boundary Value Problem for the Harmonic Equation. III. Boundary Value Problem of the Biharmonic Equation. IV. Plane Elasticity Problem. V. Stokes' Problem. VI. The Coupling of Natural Boundary Elements and Finite Elements. VII. Domain Decomposition Methods Based On Natural Boundary Reduction. References. Index.

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Details

  • NCID
    BA59475953
  • ISBN
    • 7030082702
    • 1402004575
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Beijing ; New York,Dordrechet
  • Pages/Volumes
    xviii, 539 p.
  • Size
    25 cm
  • Parent Bibliography ID
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