A preconditioned conjugate gradient method is applied to finite element discretizations of some nonsymmetric elliptic systems. Mesh independent superlinear convergence is proved, which is an extension of a similar earlier result from a single equation to systems. The proposed preconditioning method
✦ LIBER ✦
A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems
✍ Scribed by I. Antal; J. Karátson
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 326 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
The numerical solution of nonlinear elliptic transport systems is considered. An outer-inner (damped inexact Newton plus PCG type) iteration is proposed for the finite element discretization of the problem, and mesh independent superlinear convergence is proved for both the outer and inner iterations. Numerical experiments are enclosed.
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