Natural Boundary Integral Method and Its Applications
Author:   De-hao Yu
Publisher:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   539
ISBN:  

9781402004575


Pages:   540
Publication Date:   30 September 2002
Format:   Hardback
Availability:   In Print   Availability explained
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Natural Boundary Integral Method and Its Applications


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Overview

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. This 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.

Full Product Details

Author:   De-hao Yu
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   539
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   2.110kg
ISBN:  

9781402004575


ISBN 10:   1402004575
Pages:   540
Publication Date:   30 September 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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.

Reviews

Natural Boundary Integral Method and Its Applications<br> The book includes many useful formulas as well as entries on stiffness matrices for many examples in the aforementioned class of applications and it outlines many existence results and error estimates in scales of Sobolev spaces from the Chinese literature. <br>(D.H.Yu, MATHEMATICAL REVIEWS)


Natural Boundary Integral Method and Its Applications The book includes many useful formulas as well as entries on stiffness matrices for many examples in the aforementioned class of applications and it outlines many existence results and error estimates in scales of Sobolev spaces from the Chinese literature. (D.H.Yu, MATHEMATICAL REVIEWS)


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