๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the treatment of boundary conditions by the method of artificial parameters

โœ Scribed by Robert Kao


Book ID
102547940
Publisher
John Wiley and Sons
Year
1974
Tongue
English
Weight
244 KB
Volume
8
Category
Article
ISSN
0029-5981

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โœฆ Synopsis


Abstract

A procedure to deal with various boundary conditions in the Rayleighโ€Ritz method is discussed herein, namely, the method of artificial parameters. The method is then applied to solve a simple string problem; results obtained compare very nicely with exact solutions.


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The numerical simulation for the exterior problem of Poisson equation is considered. We introduced a polygonal artiยฎcial boundary C e and designed a discrete artiยฎcial boundary condition on it by using the direct method of lines. Then the original problem is reduced to a boundary value problem deยฎne