4 papers
Evaluation of Inner Products of Implicitly-defined Finite Element Functions on Multiply Connected Planar Mesh Cells
Jeffrey S. Ovall, Samuel E. Reynolds
Recent advancements in finite element methods allows for the implementation of mesh cells with curved edges. In the present work, we develop the tools necessary to employ multiply…
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…
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…
Nesterov's Smoothing Technique and Minimizing Differences of Convex Functions for Hierarchical Clustering
Nguyen Mau Nam, Wondi Geremew, Sam Raynolds +1
A bilevel hierarchical clustering model is commonly used in designing optimal multicast networks. In this paper, we consider two different formulations of the bilevel hierarchical…