A multigrid method for a heat equation with discontinuous coefficients with a special choice of grids
- Authors: Milyukova O.Y.1, Tishkin V.F.1
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Affiliations:
- Keldysh Institute of Applied Mathematics
- Issue: Vol 8, No 2 (2016)
- Pages: 118-128
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/200732
- DOI: https://doi.org/10.1134/S2070048216020101
- ID: 200732
Cite item
Abstract
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.
About the authors
O. Yu. Milyukova
Keldysh Institute of Applied Mathematics
Author for correspondence.
Email: olgamilyukova@mail.ru
Russian Federation, Moscow
V. F. Tishkin
Keldysh Institute of Applied Mathematics
Email: olgamilyukova@mail.ru
Russian Federation, Moscow