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

DOI10.1016/J.CPC.2009.12.018zbMath1205.65251OpenAlexW2126564881MaRDI QIDQ615148

E. T. Meier, V. S. Lukin, Uri Shumlak

Publication date: 5 January 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2009.12.018

zbMATH Keywords

numerical examplesfinite elementanisotropyhigh orderspectral elementnumerical errorperpendicular diffusionthermal diffusion equation

Mathematics Subject Classification ID

Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

Cell-centered particle weighting algorithm for PIC simulations in a non-uniform 2D axisymmetric mesh ⋮ Finite-difference schemes for anisotropic diffusion ⋮ A high-order non field-aligned approach for the discretization of strongly anisotropic diffusion operators in magnetic fusion ⋮ Time-discretization of a plasma-neutral MHD model with a semi-implicit leapfrog algorithm ⋮ Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas

Uses Software

• SEL/HiFi

Cites Work

• The SEL macroscopic modeling code
• Dynamic refinement algorithms for spectral element methods
• Nonlinear magnetohydrodynamics simulation using high-order finite elements.
• Finite element and higher order difference formulations for modelling heat transport in magnetised plasmas
• Suppression of numerical anisotropy and dispersion with optimized finite-difference time-domain methods
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral element spatial discretization error in solving highly anisotropic heat conduction equation