4 citations · 6 across the 3 of their papers we have counts for
5 papers
Mixed and least-squares finite element methods with application to linear hyperbolic problems
Delyan Z. Kalchev, Thomas A. Manteuffel, Steffen Münzenmaier
In this paper, a few dual least-squares finite element methods and their application to scalar linear hyperbolic problems are studied. The purpose is to obtain -norm approxima…
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…
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…
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…
Convergence in Norm of Nonsymmetric Algebraic Multigrid
Ben S. Southworth, Thomas A. Manteuffel
Algebraic multigrid (AMG) is one of the fastest numerical methods for solving large sparse linear systems. For SPD matrices, convergence of AMG is well motivated in the -norm, a…