In fusion plasmas diffusion tensors are extremely anisotropic due to the high temperature
and large magnetic field strength. This causes diffusion, heat conduction, and viscous …

We propose a semi-Lagrangian numerical algorithm for a time-dependent, anisotropic
temperature transport equation in magnetized plasmas in regimes with negligible variation …

This work is devoted to the comparison of numerical schemes to approximate anisotropic
diffusion problems arising in tokamak plasma physics. We focus on the spatial …

Highly anisotropic elliptic problems occur in many physical models that need to be solved
numerically. A direction of dominant diffusion is thus introduced (called here parallel …

In this paper, we present a high order finite difference solver for anisotropic diffusion
problems based on the first-order hyperbolic system method. In particular, we demonstrate …

This paper deals with the numerical study of a strongly anisotropic heat equation. The use of
standard schemes in this situation leads to poor results, due to high anisotropy. Furthermore …

In magnetized plasma, the magnetic field confines the particles around the field lines. The
anisotropy intensity in the viscosity and heat conduction may reach the order of 10 12. When …

This paper deals with the numerical study of a nonlinear, strongly anisotropic heat equation.
The use of standard schemes in this situation leads to poor results, due to the high …

In magnetized plasma, the magnetic field confines particles around field lines. The ratio
between the intensity of the parallel and perpendicular viscosities or heat conductions may …

In this work, we present a new finite element framework for toroidal geometries based on a
tensor product description of the 3D basis functions. In the poloidal plan, different …