An Efficient High-Order Solver for Diffusion Equations with Strong Anisotropy on Non-Anisotropy-Aligned Meshes-Reference-Cited by-同舟云学术

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An Efficient High-Order Solver for Diffusion Equations with Strong Anisotropy on Non-Anisotropy-Aligned Meshes

Published:2023-07-19 Issue: Volume: Page:S199-S222
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Green David¹,Hu Xiaozhe²^ORCID,Lore Jeremy¹,Mu Lin³^ORCID,Stowell Mark L.⁴

Affiliation:

1. Fusion & Materials for Nuclear Systems Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA.

2. Department of Mathematics, Tufts University, Medford, MA 02155 USA.

3. Department of Mathematics, University of Georgia, Athens, GA 30602 USA.

4. Center for Applied Scientific Computing at Lawrence Livermore National Laboratory, 7000 East Ave, Livermore, CA 94550 USA.

Funder

Department of Energy

Scientific Discovery through Advanced Computing

National Science Foundation

Mathematics and Physical Sciences Simons Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Reference34 articles.

1. Numerical diffusion for flow-aligned unstructured grids with application to estuarine modeling

2. Modelling of heat transport in magnetised plasmas using non-aligned coordinates

3. Three discontinuous Galerkin schemes for the anisotropic heat conduction equation on non-aligned grids

4. A high-order non field-aligned approach for the discretization of strongly anisotropic diffusion operators in magnetic fusion

5. Spectral element spatial discretization error in solving highly anisotropic heat conduction equation

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