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A local boundary integral equation method for potential problems

✍ Scribed by R. T. Fenner; J. O. Watson

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
710 KB
Volume
26
Category
Article
ISSN
0029-5981

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✦ Synopsis

Boundary integral equation (boundary element) methods have the advantage over other commonly used numerical methods that they do not require values of the unknowns at points within the solution domain to be computed. Further benefits would be obtained if attention could be confined to information at one small part of the boundary, the particular region of interest in a given problem. A local boundary integral equation method based on a Taylor series expansion of the unknown function is developed to do this for twodimensional potential problems governed by Laplace's equation. Very accurate local values of the function and its derivatives can be obtained. The method should find particular application in the efficient refinement of approximate solutions obtained by other numerical techniques.

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