42 citations · 145 across the 14 of their papers we have counts for
14 papers
Code-Verification Techniques for Particle-in-Cell Simulations with Direct Simulation Monte Carlo Collisions
Brian A. Freno, William J. McDoniel, Christopher H. Moore +1
Particle-in-cell methods with stochastic collision models are commonly used to simulate collisional plasma dynamics, with applications ranging from hypersonic flight to semiconduct…
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 Techniques for an Arbitrary-Depth Electromagnetic Slot Model
Brian A. Freno, Neil R. Matula, Robert A. Pfeiffer +1
Electromagnetic slot models are employed to efficiently simulate electromagnetic penetration through openings in an otherwise closed electromagnetic scatterer. Such models, which i…
Manufactured Solutions for an Electromagnetic Slot Model
Brian A. Freno, Neil R. Matula, Robert A. Pfeiffer +2
The accurate modeling of electromagnetic penetration is an important topic in computational electromagnetics. Electromagnetic penetration occurs through intentional or inadvertent…
Code-Verification Techniques for the Method-of-Moments Implementation of the Combined-Field Integral Equation
Brian A. Freno, Neil R. Matula
Code verification plays an important role in establishing the credibility of computational simulations by assessing the correctness of the implementation of the underlying numerica…
Code-Verification Techniques for the Method-of-Moments Implementation of the Magnetic-Field Integral Equation
Brian A. Freno, Neil R. Matula
For computational physics simulations, code verification plays a major role in establishing the credibility of the results by assessing the correctness of the implementation of the…
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…
Nonintrusive Manufactured Solutions for Non-Decomposing Ablation in Two Dimensions
Brian A. Freno, Brian R. Carnes, Victor E. Brunini +1
Code verification is a necessary step towards establishing credibility in computational physics simulations. It is used to assess the correctness of the implementation of the numer…
Code-Verification Techniques for the Method-of-Moments Implementation of the Electric-Field Integral Equation
Brian A. Freno, Neil R. Matula, Justin I. Owen +1
The method-of-moments implementation of the electric-field integral equation yields many code-verification challenges due to the various sources of numerical error and their possib…
Manufactured Solutions for the Method-of-Moments Implementation of the Electric-Field Integral Equation
Brian A. Freno, Neil R. Matula, William A. Johnson
Though the method-of-moments implementation of the electric-field integral equation plays an important role in computational electromagnetics, it provides many code-verification ch…
Code-Verification Techniques for Hypersonic Reacting Flows in Thermochemical Nonequilibrium
Brian A. Freno, Brian R. Carnes, V. Gregory Weirs
The study of hypersonic flows and their underlying aerothermochemical reactions is particularly important in the design and analysis of vehicles exiting and reentering Earth's atmo…
Characterization and Integration of the Singular Test Integrals in the Method-of-Moments Implementation of the Electric-Field Integral Equation
Brian A. Freno, William A. Johnson, Brian F. Zinser +3
In this paper, we characterize the logarithmic singularities arising in the method of moments from the Green's function in integrals over the test domain, and we use two approaches…
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…