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Article information
2000 , Volume 5, ¹ 1, p.52-64
Kostyutchenko S.V.
Method of nonorthogonal functions for nonideally conjugate elliptic problems with discontinuous coefficients
A method of nonorthogonal functions is developed to solve a class of nonideally conjugate elliptic problems. The notation of nonideal conjugation conditions is modified. It allowed us to improve the method and develop the universal algorithm using the principle of the calculated domain decomposition into nonoverlapping subdomains. Sewing of solutions in the subdomains is carried out without iterations. Mathematical support is developed to solve problems with concentrated sources. Test problems are solved.
[full text] Classificator Msc2000:- *35J25 Boundary value problems for second-order, elliptic equations
- 35R30 Inverse problems (undetermined coefficients, etc.) for PDE
- 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
- 65N55 Multigrid methods; domain decomposition
Keywords: numerical examples, domain decomposition, method of nonorthogonal series, nonideal conjugate elliptic problems, discontinuous coefficients, algorithm
Author(s):
Kostyutchenko Sergei Vladimirovich
Address: 634034, Russia, Tomsk
Phone Office: (3822)410485
E-mail: meko@cc.tpu.edu.ru
Bibliography link:
Kostyutchenko S.V. Method of nonorthogonal functions for nonideally conjugate elliptic problems with discontinuous coefficients // Computational technologies. 2000. V. 5. ¹ 1. P. 52-64
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