2 citations · 6 across the 7 of their papers we have counts for
13 papers
Convergence of Finite Element Methods for Ricci Flow
Guangwei Gao, Evan S. Gawlik, Buyang Li
The convergence of a finite element discretization for the two-dimensional Ricci flow is proved. In this method, the Ricci flow on a two-dimensional surface is formulated into solu…
On the Curvature of Regge Metrics
Evan S. Gawlik, Jack McKee
We use moving frame techniques to derive a notion of curvature for a class of piecewise-smooth Riemannian metrics called Regge metrics, showing that it is a measure that simultaneo…
Structure-preserving and thermodynamically consistent finite element discretization for visco-resistive MHD with thermoelectric effect
Evan S. Gawlik, François Gay-Balmaz, Bastien Manach-Pérennou
We present a structure-preserving and thermodynamically consistent numerical scheme for classical magnetohydrodynamics, incorporating viscosity, magnetic resistivity, heat transfer…
Intrinsic Finite Element Error Analysis on Manifolds with Regge Metrics, with Application to Calculating Connection Forms
Evan S. Gawlik, Jack McKee
We present some aspects of the theory of finite element exterior calculus as applied to partial differential equations on manifolds, especially manifolds endowed with an approximat…
Finite element approximation of the Einstein tensor
Evan S. Gawlik, Michael Neunteufel
We construct and analyze finite element approximations of the Einstein tensor in dimension . We focus on the setting where a smooth Riemannian metric tensor on a polyh…
A structure-preserving finite element method for compressible ideal and resistive MHD
Evan S. Gawlik, François Gay-Balmaz
We construct a structure-preserving finite element method and time-stepping scheme for compressible barotropic magnetohydrodynamics (MHD) both in the ideal and resistive cases, and…