24 citations · 33 across the 17 of their papers we have counts for
3 papers · 1 filter
An accurate SUPG-stabilized continuous Galerkin discretization for anisotropic heat flux in magnetic confinement fusion
Golo A. Wimmer, Ben S. Southworth, Koki Sagiyama +1
We present a novel spatial discretization for the anisotropic heat conduction equation, aimed at improved accuracy at the high levels of anisotropy seen in a magnetized plasma, for…
Multiscale approximation and two-grid preconditioner for extremely anisotropic heat flow
Maria Vasilyeva, Golo A. Wimmer, Ben S. Southworth
We consider anisotropic heat flow with extreme anisotropy, as arises in magnetized plasmas for fusion applications. Such problems pose significant challenges in both obtaining an a…
A structure-preserving discontinuous Galerkin scheme for the Cahn-Hilliard equation including time adaptivity
Golo A. Wimmer, Ben S. Southworth, Qi Tang
We present a novel spatial discretization for the Cahn-Hilliard equation including transport. The method is given by a mixed discretization for the two elliptic operators, with the…