26 citations · 67 across the 6 of their papers we have counts for
7 papers
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…
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…
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…
Anisotropic polygonal and polyhedral discretizations in finite element analysis
Steffen Weißer
New interpolation and quasi-interpolation operators of Clément- and Scott-Zhang-type are analyzed on anisotropic polygonal and polyhedral meshes. Since no reference element is avai…
A Nyström-based finite element method on polygonal elements
Akash Anand, Jeffrey S. Ovall, Steffen Weisser
We consider families of finite elements on polygonal meshes, that are defined implicitly on each mesh cell as solutions of local Poisson problems with polynomial data. Functions in…
Residual based Error Estimate and Quasi-Interpolation on Polygonal Meshes for High Order BEM-based FEM
Steffen Weißer
Only a few numerical methods can treat boundary value problems on polygonal and polyhedral meshes. The BEM-based Finite Element Method is one of the new discretization strategies,…
Convection-adapted BEM-based FEM
Clemens Hofreither, Ulrich Langer, Steffen Weißer
We present a new discretization method for homogeneous convection-diffusion-reaction boundary value problems in 3D that is a non-standard finite element method with PDE-harmonic sh…