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Article information
2000 , Volume 5, ¹ 4, p.13-21
Belyaev V.A., Shapeev V.P.
The collocation and least squares method on adaptive grids in a domain with a curvilinear boundary
A version of the grid-projection method for solving boundary problems for elliptic equations in a domain with a curvilinear boundary on the rectangular adaptive grid is presented. The method is tested on the equations with a small parameter at highest derivatives. Convergence of the method and the grid adaptability to the peculiarity of the solution are shown.
[full text] Classificator Msc2000:- *35J25 Boundary value problems for second-order, elliptic equations
- 65N12 Stability and convergence of numerical methods
- 65N35 Spectral, collocation and related methods
- 65N50 Mesh generation and refinement
Keywords: Dirichlet problem, second-order elliptic equations, collocation and least-squares method, adaptive grid, curvilinear boundary, convergence, numerical experiments
Author(s):
Belyaev Vasily Alexeyevich
Position: assistant
Office: Institute of Theoretical and Applied Mechanics, Novosibirsk State University
Address: 630090, Russia, Novosibirsk, 2 Pirogova Str.
E-mail: belyaevasily@mail.ru
Shapeev Vasily Pavlovich
Dr. , Professor
Position: General Scientist
Office: Institute of Theoretical and Applied Mechanics of SB RAS, Novosibirsk State University
Address: 630090, Russia, Novosibirsk, Institutskaya Str., 4/1
Phone Office: (383) 330 27 13
E-mail: vshapeev@ngs.ru
SPIN-code: 7128-5536
Bibliography link:
Belyaev V.A., Shapeev V.P. The collocation and least squares method on adaptive grids in a domain with a curvilinear boundary // Computational technologies. 2000. V. 5. ¹ 4. P. 13-21
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