Natural boundary integral method and its applications
Author(s)
Bibliographic Information
Natural boundary integral method and its applications
(Mathematics and its applications, v. 539)
Science Press , Kluwer Academic Publishers, c2002
- Science Press Beijing
- Kluwer Academic Publishers
Available at / 16 libraries
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Hiroshima University Central Library, Interlibrary Loan
Science Press Beijing413.6:Y-96/HL4010004000411491
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
Science Press BeijingDC21:515.35/Y92070576394
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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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