An Efficient High-order Numerical Solver for Diffusion Equations with Strong Anisotropy
Numerical Analysis
2022-05-18 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2109.05085,
title = {An Efficient High-order Numerical Solver for Diffusion Equations with Strong Anisotropy},
author = {David Green and Xiaozhe Hu and Jeremy Lore and Lin Mu and Mark L. Stowell},
journal= {arXiv preprint arXiv:2109.05085},
year = {2022}
}