|
Lobachevskii Journal of Mathematics, 2003, Volume 13, Pages 15–24
(Mi ljm95)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Mixed hybrid finite element scheme for stefan problem with prescribed convection
M. A. Ignat'eva, A. V. Lapina a Kazan State University, The Faculty of Computer Science and Cybernetics
Abstract:
We construct a mixed hybrid finite element scheme of lowest order for the Stefan problem with prescribed convection and suggest and investigate an iterative method for its solution. In the iterative method we use a preconditioner constructed by using “standard” finite
element approximation of Laplace operator on a finer grid.
The proposed approach develops the results of [1], where a spectrally equivalent preconditioner for the condensed matrix in mixed hybrid finite element approximation for linear elliptic equation was constructed.
Keywords:
Mixed hybrid discretization, condensed matrices, variational inequalities, Stefan problem, iterative methods, spectrally equivalent preconditioners.
Received: 15.10.2003
Citation:
M. A. Ignat'eva, A. V. Lapin, “Mixed hybrid finite element scheme for stefan problem with prescribed convection”, Lobachevskii J. Math., 13 (2003), 15–24
Linking options:
https://www.mathnet.ru/eng/ljm95 https://www.mathnet.ru/eng/ljm/v13/p15
|
Statistics & downloads: |
Abstract page: | 304 | Full-text PDF : | 94 | References: | 42 |
|