4 papers
Quadrature for Implicitly-defined Finite Element Functions on Curvilinear Polygons
Jeffrey Ovall, Samuel Reynolds
-conforming Galerkin methods on polygonal meshes such as VEM, BEM-FEM and Trefftz-FEM employ local finite element functions that are implicitly defined as solutions of Poisson…
An algorithm for identifying eigenvectors exhibiting strong spatial localization
Jeffrey Ovall, Robyn Reid
We introduce an approach for exploring eigenvector localization phenomena for a class of (unbounded) selfadjoint operators. More specifically, given a target region and a tolerance…
A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques
Stefano Giani, Luka Grubisic, Harri Hakula +1
We propose an a posteriori error estimator for high-order - or -finite element discretizations of selfadjoint linear elliptic eigenvalue problems that is appropriate for est…
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…