42 citations · 145 across the 14 of their papers we have counts for
4 papers · 1 filter
A Note on the Convergence of Symmetric Triangle Quadrature Rules
Brian A. Freno, Neil R. Matula, Joseph E. Bishop
Symmetric polynomial quadrature rules for triangles are commonly used to efficiently integrate two-dimensional domains in finite-element-type problems. While the development of suc…
Code Verification for Practically Singular Equations
Brian A. Freno, Neil R. Matula
The method-of-moments implementation of the electric-field integral equation (EFIE) yields many code-verification challenges due to the various sources of numerical error and their…
Symmetric Triangle Quadrature Rules for Arbitrary Functions
Brian A. Freno, William A. Johnson, Brian F. Zinser +1
Despite extensive research on symmetric polynomial quadrature rules for triangles, as well as approaches to their calculation, few studies have focused on non-polynomial functions,…
Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations
Brian A. Freno, Kevin T. Carlberg
This work proposes a machine-learning framework for constructing statistical models of errors incurred by approximate solutions to parameterized systems of nonlinear equations. The…