37 citations · 71 across the 4 of their papers we have counts for
5 papers
A Structure Preserving Scheme for the Kolmogorov-Fokker-Planck Equation
Erich L Foster, Jérôme Lohéac, Minh-Binh Tran
In this paper we introduce a numerical scheme which preserves the long time behavior of solutions to the Kolmogorov equation. The method presented is based on a self-similar change…
A Conforming Finite Element Discretization of the Streamfunction Form of the Unsteady Quasi-Geostrophic Equations
Erich L Foster, Traian Iliescu, David R. Wells
This paper presents a conforming finite element semi-discretization of the streamfunction form of the one-layer unsteady quasi-geostrophic equations, which are a commonly used mode…
Clipping of Arbitrary Polygons with Degeneracies
Erich L Foster, James R Overfelt
Polygon clipping is a frequent operation in Arbitrary Lagrangian-Eulerian methods, Computer Graphics, GIS, and CAD. In fact, clipping algorithms are said to be one of the most impo…
A Two-Level Finite Element Discretization of the Streamfunction Formulation of the Stationary Quasi-Geostrophic Equations of the Ocean
Erich L Foster, Traian Iliescu, David Wells
In this paper we proposed a two-level finite element discretization of the nonlinear stationary quasi-geostrophic equations, which model the wind driven large scale ocean circulati…
A Finite Element Discretization of the Streamfunction Formulation of the Stationary Quasi-Geostrophic Equations of the Ocean
Erich L Foster, Traian Iliescu, Zhu Wang
This paper presents a conforming finite element discretization of the streamfunction formulation of the one-layer stationary quasi-geostrophic equations, which are a commonly used…