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Residual Cutting Method for Elliptic Boundary Value Problems:

✍ Scribed by Atsuhiro Tamura; Kazuo Kikuchi; Tadayasu Takahashi

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
461 KB
Volume
137
Category
Article
ISSN
0021-9991

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✦ Synopsis

A new, efficient, and highly accurate numerical method which achieves the residual reduction with the aid of residual equations and the method of least squares is proposed for boundary value problems of elliptic partial differential equations. Neumann, Dirichlet, and mixed boundary value problems of threedimensional Poisson's equation for pressure in a curved duct flow and a cascade flow have been solved. Numerical results exhibit the effectiveness of the method by a high convergence rate and a high degree of robustness. The method is expected to be an effective numerical solution method applicable to a wide range of partial differential equations with various boundary conditions.

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