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A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART II: A ROBUST SOLVER.
- Source :
- SIAM Journal on Scientific Computing; 2019, Vol. 41 Issue 4, pB816-B842, 27p
- Publication Year :
- 2019
-
Abstract
- In [L. Li, M. Ni, and W. Zheng, SIAM J. Sci. Comput., 41 (2019), pp. B796-B815] a charge-conservative finite element method is proposed for solving inductionless and incompressible magnetohydrodynamic (MHD) equations. The purpose of this paper is to propose a robust solver for the discrete problem. Using the framework of field-of-values-equivalence, we first study the preconditioned Krylov space method for the continuous problem in the setting of Hilbert spaces. The algebraic preconditioner for the discrete problem is then obtained by representing the preconditioner for the continuous problem in finite element spaces. By three numerical examples, the optimality of the solver to the number of unknowns is demonstrated for both stationary and time-dependent MHD problems. [ABSTRACT FROM AUTHOR]
- Subjects :
- FINITE element method
KRYLOV subspace
EQUATIONS
HILBERT space
Subjects
Details
- Language :
- English
- ISSN :
- 10648275
- Volume :
- 41
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Scientific Computing
- Publication Type :
- Academic Journal
- Accession number :
- 138856934
- Full Text :
- https://doi.org/10.1137/19M1260372