456 citations · 971 across the 29 of their papers we have counts for
7 papers · 1 filter
A Family of Independent Variable Eddington Factor Methods with Efficient Preconditioned Iterative Solvers
Samuel Olivier, Will Pazner, Terry S. Haut +1
We present a family of discretizations for the Variable Eddington Factor (VEF) equations that have high-order accuracy on curved meshes and efficient preconditioned iterative solve…
Efficient Exascale Discretizations: High-Order Finite Element Methods
Tzanio Kolev, Paul Fischer, Misun Min +27
Efficient exploitation of exascale architectures requires rethinking of the numerical algorithms used in many large-scale applications. These architectures favor algorithms that ex…
A short note on the accuracy of the discontinuous Galerkin method with reentrant faces
Will Pazner, Terry Haut
We study the convergence of the discontinuous Galerkin (DG) method applied to the advection-reaction equation on meshes with reentrant faces. On such meshes, the upwind numerical f…
Conservative and accurate solution transfer between high-order and low-order refined finite element spaces
Tzanio Kolev, Will Pazner
In this paper we introduce general transfer operators between high-order and low-order refined finite element spaces that can be used to couple high-order and low-order simulations…
Spline parameterization of neural network controls for deep learning
Stefanie Günther, Will Pazner, Dongping Qi
Based on the continuous interpretation of deep learning cast as an optimal control problem, this paper investigates the benefits of employing B-spline basis functions to parameteri…
Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part II: nonlinearities and DAEs
Ben S. Southworth, Oliver Krzysik, Will Pazner
Fully implicit Runge-Kutta (IRK) methods have many desirable accuracy and stability properties as time integration schemes, but high-order IRK methods are not commonly used in prac…