research
∙
08/11/2023
Conforming Finite Element Function Spaces in Four Dimensions, Part II: The Pentatope and Tetrahedral Prism
In this paper, we present explicit expressions for conforming finite ele...
share
research
∙
08/11/2023
Conforming Finite Element Function Spaces in Four Dimensions, Part 1: Foundational Principles and the Tesseract
The stability, robustness, accuracy, and efficiency of space-time finite...
research
∙
01/28/2023
Surface and hypersurface meshing techniques for space-time finite element methods
A general method is introduced for constructing two-dimensional (2D) sur...
research
∙
07/02/2022
Generalized Korn's Inequalities for Piecewise H^2 Vector Fields
The purpose of this paper is to construct a new class of discrete genera...
research
∙
01/14/2021
Enabling four-dimensional conformal hybrid meshing with cubic pyramids
The main purpose of this article is to develop a novel refinement strate...
research
∙
12/16/2020
Foundations of space-time finite element methods: polytopes, interpolation, and integration
The main purpose of this article is to facilitate the implementation of ...
research
∙
07/15/2020