A multigrid method for a heat equation with discontinuous coefficients with a special choice of grids
- Авторы: Milyukova O.1, Tishkin V.1
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Учреждения:
- Keldysh Institute of Applied Mathematics
- Выпуск: Том 8, № 2 (2016)
- Страницы: 118-128
- Раздел: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/200732
- DOI: https://doi.org/10.1134/S2070048216020101
- ID: 200732
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Аннотация
A new multigrid method is proposed for the solution of systems of linear algebraic equations obtained as a result of the discretization of the initial boundary-value problems for a heat equation with a discontinuous heat conduction coefficient. In the method, a special construction of the next level grid is used, with special treatment of subregions near the discontinuity lines of the heat conduction coefficient. The numerical experiments with a 2D model problem discretized on orthogonal grids demonstrated a high convergence rate for the method and weak dependence of the convergence on the discontinuity jump of the coefficient.
Об авторах
O. Milyukova
Keldysh Institute of Applied Mathematics
Автор, ответственный за переписку.
Email: olgamilyukova@mail.ru
Россия, Moscow
V. Tishkin
Keldysh Institute of Applied Mathematics
Email: olgamilyukova@mail.ru
Россия, Moscow