Two-level preconditioning of a discontinuous Galerkin method for radiation diffusion

J. S. Warsa, M. Benzi, T. A. Wareing and J. E. Morel
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J. S. Warsa: Los Alamos National Laboratory, Transport Methods Group
M. Benzi: Emory University, Department of Mathematics and Computer Science
T. A. Wareing: Los Alamos National Laboratory, Transport Methods Group
J. E. Morel: Los Alamos National Laboratory, Transport Methods Group

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 967-977 from Springer

Abstract: Summary Weproposea two-level preconditioning strategy for the iterative solution of large sparse linear systems arising from a discontinuous Galerkin discretization of the radiation diffusion equations. The idea is to usea continuous finite element discretization of theoriginal, elliptic diffusion equation for preconditioning the discontinuous equations. We show how our preconditioner is developed and applied to radiation diffusion problems on unstructured, tetrahedral meshes. We present numerical results to illustrate its effectiveness.

Keywords: Discontinuous Galerkin Method; Radiation Diffusion; Tetrahedral Mesh; Scalar Flux; Local Discontinuous Galerkin (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_88

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DOI: 10.1007/978-88-470-2089-4_88

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