Journal article
Preconditioned Krylov subspace methods for transport equations
Progress in nuclear energy (New series), Vol.33(1), pp.155-174
1998
DOI: 10.1016/S0149-1970(97)00099-1
Abstract
Transport equations have many important applications. Because these equations are based on highly non-normal operators, they present difficulties in numerical computations. Iterative methods have been shown to be efficient to solve transport equations. However, because of the nature of transport problems, convergence of these methods tends to slow for many important problems. In this paper, we focus on acceleration techniques for iterative methods. Particularly, we investigate the applicability and performance of some Krylov subspace methods with preconditioners, such as the incomplete LU (ILU) factorization (with no fill-in) and multigrid algorithms (spatial and angular multigrid). Three cases are considered: isotropic equations without absorption, isotropic equations with absorption, and anisotropic equations. Our numerical experiments show that the use of an appropriate multilevel preconditioner can significantly improve Krylov subspace methods, such as GMRES and CGS.
Details
- Title: Subtitle
- Preconditioned Krylov subspace methods for transport equations
- Creators
- Suely OliveiraYuanhua Deng
- Resource Type
- Journal article
- Publication Details
- Progress in nuclear energy (New series), Vol.33(1), pp.155-174
- DOI
- 10.1016/S0149-1970(97)00099-1
- ISSN
- 0149-1970
- Publisher
- Elsevier Ltd
- Language
- English
- Date published
- 1998
- Academic Unit
- Computer Science; Mathematics
- Record Identifier
- 9984002302802771
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