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Boundary Integral Equation Analyses Of Singular, Potential, And Biharmonic Problems (lecture Notes In Engineering) by Derek B. Ingham, Mark A. Kelmanson (auth.) is a nonfiction available to read on EtoBox.

What is Boundary Integral Equation Analyses Of Singular, Potential, And Biharmonic Problems (lecture Notes In Engineering) about?

Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques. In the last decade there has been a rapid increase in the application of integral equation techniques for the numerical solution of such problems [1,2,3]. One such method is the boundary integral equation method (BIE) which is based on Green's Formula [4] and enables one to reformulate certain BVP as integral equations. The reformulation has the effect of reducing the dimension of the problem by one. Because discretisation occurs only on the boundary in the BIE the system of equations generated by a BIE is considerably smaller than that generated by an equivalent finite difference (FD) or finite element (FE) approximation [5]. Application of the BIE in the field of fluid mechanics has in the past been limited almost entirely to the solution of harmonic problems concerning potential flows around selected geometries [3,6,7]. Little work seems to have been done on direct integral equation solution of viscous flow problems. Coleman [8] solves the biharmonic equation describing slow flow between two semi infinite parallel plates usi

Who reads Boundary Integral Equation Analyses Of Singular, Potential, And Biharmonic Problems (lecture Notes In Engineering)?

Author

Derek B. Ingham, Mark A. Kelmanson (auth.)

Publisher

Springer-Verlag Berlin Heidelberg

Published

1984

Language

EN

ISBN

9783642823305

Category

nonfiction

Subjects

Mathematics, Engineering, Science