2 citations · 2 across the 1 of their papers we have counts for
4 papers
Exact sequences on Worsey-Farin Splits
Johnny Guzman, Anna Lischke, Michael Neilan
We construct several smooth finite element spaces defined on three--dimensional Worsey--Farin splits. In particular, we construct , $H^1(\curl)$, and -conforming finite e…
Exact sequences on Powell-Sabin splits
J. Guzman, A. Lischke, M. Neilan
We construct smooth finite elements spaces on Powell-Sabin triangulations that form an exact sequence. The first space of the sequence coincides with the classical Powell-Sab…
What Is the Fractional Laplacian?
Anna Lischke, Guofei Pang, Mamikon Gulian +8
The fractional Laplacian in R^d has multiple equivalent characterizations. Moreover, in bounded domains, boundary conditions must be incorporated in these characterizations in math…
A Tunably-Accurate Laguerre Petrov-Galerkin Spectral Method for Multi-Term Fractional Differential Equations on the Half Line
Anna Lischke, Mohsen Zayernouri, George Em Karniadakis
We present a new tunably-accurate Laguerre Petrov-Galerkin spectral method for solving linear multi-term fractional initial value problems with derivative orders at most one and co…