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math.NA2026
A provably stable numerical method for the anisotropic diffusion equation in confined magnetic fields: Curvilinear coordinates and multi-block domains
Dean Muir, Kenneth Duru, Stuart Hudson +1
We present a robust and accurate numerical method for the anisotropic diffusion equation in curvilinear coordinates. This study extends the recent work [Muir et al., Computer Physi…
math.NA2023
A provably stable numerical method for the anisotropic diffusion equation in confined magnetic fields
Dean Muir, Kenneth Duru, Matthew Hole +1
We present a novel numerical method for solving the anisotropic diffusion equation in magnetic fields confined to a periodic box which is accurate and provably stable. We derive en…
math.NA2023
An efficient method for the anisotropic diffusion equation in magnetic fields
Dean Muir, Kenneth Duru, Matthew Hole +1
We solve the anisotropic diffusion equation in 2D, where the dominant direction of diffusion is defined by a vector field which does not conform to a Cartesian grid. Our method use…