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Natural Boundary Integral Method and Its Applications

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Published by Springer .
Written in English

Subjects:

  • Differential Equations,
  • Dynamics & vibration,
  • Mathematics,
  • Finite Mathematics,
  • Technology & Industrial Arts,
  • Science/Mathematics,
  • Numerical solutions,
  • General,
  • Mathematics / Applied,
  • Mathematical Analysis,
  • Boundary element methods,
  • Boundary value problems

Book details:

Edition Notes

Mathematics and Its Applications

The Physical Object
FormatHardcover
Number of Pages552
ID Numbers
Open LibraryOL8369967M
ISBN 101402004575
ISBN 109781402004575

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  Natural Boundary Integral Method and Its Applications is neither a course textbook nor a state-of-the-art research book on a wide scientific area, but it is a satisfying self-contained summary of a very interesting piece of work that has been hidden from the western reader so far. This monograph is highly recommended as an enjoyable and eye Cited by: 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 . Natural Boundary Reduction § Introduction § Overlapping DDM based on natural boundary reduction § Schwarz' alternating method and its convergence § Analysis of convergence rate § Some examples § Non . This volume contains edited papers from IABEM, the Symposium of the Interna­ tional Association for Boundary Element Methods (IABEM). As stated in the By-Laws of the Association, the purposes of IABEM are: 1. to promote the international exchange of technical information related to the devel­ opment and application of boundary-integral equation (BIE) formulations and their numerical.

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. 《Natural Borndary Integral Method and Its Applications》:Boundary element methods are very important for solving boundary value problems in boundary value problems of partial diffferential equations can be reduced into boundary integral equations by the natural boundary this book the natural boundary integral method,suggested and developed by Feng and Yu. Natural Boundary Integral Method and Its New Development where n =(n x,n y)=−(x/R,y/R) is outward normal direction on Γ with respect to Ω. By the variable transform, x = √ aξ, y = √ bη, the equation is reduced to a harmonic equation, while the circular boundary is replaced by an elliptic boundary, and the exterior. Applications of boundary elements method to shell and plate analyses, as well as to other types of analysis, are also shown in other parts in this book. Show less Boundary Elements contains the proceedings of the International Conference on Boundary Elements Methods held at Beijing, China on October ,

Natural boundary integral method and related numerical methods. The coupled method based on natural boundary reduction have advantages both of natural boundary element method and of classical FEM. It has the same convergence rate as for bounded problems. Natural boundary integral method and its applications, Kluwer, Dordrecht ( Cited by: 8. x Integral form of the basic law gives the unknown parameter or variable. Accuracy of the Integral Method x Different assumed profiles give different solutions and accuracy. x Errors are acceptable in many engineering applications. x Accuracy is not very sensitive to the form of an assumed profile. In this paper, the natural boundary integral method, and some related methods, includ-ing coupling method of the natural boundary elements and finite elements, which is also called DtN method or. Natural boundary integral method is applied to deal with plate problems defined in irregular domains. We divide the solution into two parts, a particular solution for inhomogeneous biharmonic equation and the general solution for homogeneous biharmonic equation. For the former, the direct expansion method of boundary conditions is used to treat the arbitrary domains, and the processes of Author: Liang Liang Du, Xiong Hua Wu.