3 papers
math.NA2020
Anisotropic a posteriori error estimate for the Virtual Element Method
Paola Francesca Antonietti, Stefano Berrone, Andrea Borio +3
We derive an anisotropic a posteriori error estimate for the adaptive conforming Virtual Element approximation of a paradigmatic two-dimensional elliptic problem. In particular, we…
math.NA2019
Trefftz Finite Elements on Curvilinear Polygons
Akash Anand, Jeffrey S. Ovall, Samuel Reynolds +1
We present a Trefftz-type finite element method on meshes consisting of curvilinear polygons. Local basis functions are computed using integral equation techniques that allow for t…
math.NA2018
Vlasov-Poisson system tackled by particle simulation utilising boundary element methods
Torsten Keßler, Sergej Rjasanow, Steffen Weißer
This paper presents a grid-free simulation algorithm for the fully three-dimensional Vlasov--Poisson system for collisionless electron plasmas. We employ a standard particle method…