90 citations · 179 across the 18 of their papers we have counts for
5 papers · 2 filters
A Conservative Finite Element Method for the Incompressible Euler Equations with Variable Density
Evan S. Gawlik, François Gay-Balmaz
We construct a finite element discretization and time-stepping scheme for the incompressible Euler equations with variable density that exactly preserves total mass, total squared…
A Variational Finite Element Discretization of Compressible Flow
Evan S. Gawlik, François Gay-Balmaz
We present a finite element variational integrator for compressible flows. The numerical scheme is derived by discretizing, in a structure preserving way, the Lie group formulation…
Approximating the pth Root by Composite Rational Functions
Evan S. Gawlik, Yuji Nakatsukasa
A landmark result from rational approximation theory states that on can be approximated by a type- rational function with root-exponential accuracy. Motiva…
High-Order Approximation of Gaussian Curvature with Regge Finite Elements
Evan S. Gawlik
A widely used approximation of the Gaussian curvature on a triangulated surface is the angle defect, which measures the deviation between and the sum of the angles between nei…
Rational Minimax Iterations for Computing the Matrix th Root
Evan S. Gawlik
In [E. S. Gawlik, Zolotarev iterations for the matrix square root, arXiv preprint 1804.11000, (2018)], a family of iterations for computing the matrix square root was constructed b…