Application of the two-grid method for solving a singularly perturbed elliptic problem Full article
| Journal |
Проблемы вычислительной и прикладной математики
ISSN: 2181-8460 |
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| Output data | Year: 2022, Number: 2 (39), Pages: 142-149 Pages count : 8 | ||
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Funding (1)
| 1 | Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». | FWNF-2022-0016 |
Abstract:
A two-grid method for the numerical solution of a singularly perturbed elliptic problem using the Bakhvalov mesh is studied. A scheme of upwind differences is used, which has the property of convergence on this grid, which is uniform in a small parameter. The Seidel iterative method is used to find the difference scheme solution. Previously, the use of the Bakhvalov mesh in the two-grid method has not been studied. It is numerically shown that the use of the two-grid method leads to a reduction in computational costs. In addition, it is shown that based on the Richardson extrapolation method, it is possible to improve the accuracy of the difference scheme.
Cite:
Zadorin A.I.
, Zadorin N.A.
Application of the two-grid method for solving a singularly perturbed elliptic problem
Проблемы вычислительной и прикладной математики. 2022. N2 (39). P.142-149. РИНЦ
Application of the two-grid method for solving a singularly perturbed elliptic problem
Проблемы вычислительной и прикладной математики. 2022. N2 (39). P.142-149. РИНЦ
Identifiers:
| Elibrary: | 48451221 |
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