| Autor: |
McLean, William, Thomée, Vidar |
| Rok vydání: |
2011 |
| Předmět: |
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| Zdroj: |
ANZIAM J. 53: 134--155, 2011 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1017/S1446181112000107 |
| Popis: |
In earlier work we have studied a method for discretization in time of a parabolic problem which consists in representing the exact solution as an integral in the complex plane and then applying a quadrature formula to this integral. In application to a spatially semidiscrete finite element version of the parabolic problem, at each quadrature point one then needs to solve a linear algebraic system having a positive definite matrix with a complex shift, and in this paper we study iterative methods for such systems. We first consider the basic and a preconditioned version of the Richardson algorithm, and then a conjugate gradient method as well as a preconditioned version thereof. |
| Databáze: |
arXiv |
| Externí odkaz: |
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