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An efficient high-order numerical solver for diffusion equations with strong anisotropy...

by David L Green, Xiaozhe Hu, Jeremy D Lore, Lin Mu, M Stowell
Publication Type
Journal
Journal Name
Computer Physics Communications
Publication Date
Page Number
108333
Volume
276
Issue
1

In this paper, we present an interior penalty discontinuous Galerkin finite element scheme for solving diffusion problems with strong anisotropy arising in magnetized plasmas for fusion applications. We demonstrate the accuracy produced by the high-order scheme and develop an efficient preconditioning technique to solve the corresponding linear system, which is robust to the mesh size and anisotropy of the problem. Several numerical tests are provided to validate the accuracy and efficiency of the proposed algorithm.