164 citations · 223 across the 10 of their papers we have counts for
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math.NA2019★ 4 cited
A Least-Squares Finite Element Method Based on the Helmholtz Decomposition for Hyperbolic Balance Laws
Delyan Z. Kalchev, Thomas A. Manteuffel
In this paper, a least-squares finite element method for scalar nonlinear hyperbolic balance laws is proposed and studied. The approach is based on a formulation that utilizes an a…
physics.comp-ph2019
Parallel Approximate Ideal Restriction Multigrid for Solving the S Transport Equations
Joshua Hanophy, Ben S. Southworth, Ruipeng Li +2
The computational kernel in solving the transport equations is the parallel sweep, which corresponds to directly inverting a block lower triangular linear system that arises…
math.NA2019★ 2 cited
Advances in Implementation, Theoretical Motivation, and Numerical Results for the Nested Iteration with Range Decomposition Algorithm
Wayne Mitchell, Tom Manteuffel
This paper studies a low-communication algorithm for solving elliptic partial differential equations (PDE's) on high-performance machines, the nested iteration with range decomposi…