3 papers
math.NA2018
Computational Serendipity and Tensor Product Finite Element Differential Forms
Andrew Gillette, Tyler Kloefkorn, Victoria Sanders
Many conforming finite elements on squares and cubes are elegantly classified into families by the language of finite element exterior calculus and presented in the Periodic Table…
math.RA2016
Weakly Cohen-Macaulay posets and a class of finite-dimensional graded quadratic algebras
Tyler Kloefkorn
To a finite ranked poset we associate a finite-dimensional graded quadratic algebra . Assuming satisfies a combinatorial condition known as uniform, is related t…
math.RA2012
Splitting Algebras: Koszul, Cohen-Macaulay and Numerically Koszul
Tyler Kloefkorn, Brad Shelton
We study a finite dimensional quadratic graded algebra R defined from a finite ranked poset. This algebra has been central to the study of the splitting algebra of the poset, A, as…