Download Boundary Element Methods: Proceedings of the Third by George T. Symm (auth.), Dr. Carlos A. Brebbia (eds.) PDF

By George T. Symm (auth.), Dr. Carlos A. Brebbia (eds.)

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Read or Download Boundary Element Methods: Proceedings of the Third International Seminar, Irvine, California, July 1981 PDF

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Additional resources for Boundary Element Methods: Proceedings of the Third International Seminar, Irvine, California, July 1981

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Indeed, the setting up and solution of Equations (17) is all carried out here by Fortran subroutines (Symm, 1980) based upon this discretisation. • j=1 J J ( 18) where h denotes the approximate length of an interval as given by its two chords. In Method 2, we approximate K, via Equations (4), (7) and (12), by = 1/m( 2 ) an d m( 2 ) = -L' 0'h j j' (19) 7 where the summation extends over those intervals of L which form CD. , J J (20) where the summation extends over those intervals of L which form DA.

In this paper a potential method is developed which essentially extends to the diffusion equation most of the advantages currently afforded to elliptic equations. INTRODUCTION The numerical solution of elliptic partial differential equations by potential methods has received much attention in recent yearsl-4 as they have some distinct advantages over traditional finite difference of element methods for certain classes of problems. Essentially, the potential method transforms the solution of the partial differential equation to that of a Fredholm integral equation over the boundary of the solution region.

C G L A'----------'B ~ X Figure 1. Domain of Problem 1 Computed values of K and M, for various subdivisions of the boundary L, are presented in Table 1. 01756 The first four sets of results in Table 1 correspond to subdivisions of the boundary L into equal intervals and show that, for this example, Method 1 converges most rapidly. For these boundary subdivisions, (22) by symmetry, whence, from Equation (7), M(2)M(2a) =1 ( 23) and K( 2 ) and K( 2 a) bound K (from above and below respectively).

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