On the accuracy of numerical methods for the discretization of anisotropic elliptic problems

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Ionized gas flow in electromagnetic fields; plasmic flow (76Xxx)

Cites Work

A flux-coordinate independent field-aligned approach to plasma turbulence simulations
Finite-difference schemes for anisotropic diffusion
An asymptotic-preserving semi-Lagrangian algorithm for the time-dependent anisotropic heat transport equation
An asymptotic-preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition
Asymptotic preserving scheme for strongly anisotropic parabolic equations for arbitrary anisotropy direction
Finite-volume scheme for anisotropic diffusion
An asymptotic preserving scheme for the Euler equations in a strong magnetic field
APFOS-Net: asymptotic preserving scheme for anisotropic elliptic equations with deep neural network
On the numerical resolution of anisotropic equations with high order differential operators arising in plasma physics
Finite element and higher order difference formulations for modelling heat transport in magnetised plasmas
Modelling of heat transport in magnetised plasmas using non-aligned coordinates
A Fourth-Order Accurate Finite-Volume Method with Structured Adaptive Mesh Refinement for Solving the Advection-Diffusion Equation
Asymptotic-Preserving Schemes for Fluid Models of Plasmas
Uniformly Convergent Scheme for Strongly Anisotropic Diffusion Equations with Closed Field Lines
A Two Field Iterated Asymptotic-Preserving Method for Highly Anisotropic Elliptic Equations
Study of an asymptotic preserving scheme for the quasi neutral Euler–Boltzmann model in the drift regime
A high-order non field-aligned approach for the discretization of strongly anisotropic diffusion operators in magnetic fusion
Block preconditioning methods for asymptotic preserving scheme arising in anisotropic elliptic problems

This page was built for publication: On the accuracy of numerical methods for the discretization of anisotropic elliptic problems