48 citations · 53 across the 3 of their papers we have counts for
3 papers · 1 filter
Discretization-error-accurate mixed-precision multigrid solvers
Rasmus Tamstorf, Joseph Benzaken, Stephen F. McCormick
This paper builds on the algebraic theory in the companion paper [Algebraic Error Analysis for Mixed-Precision Multigrid Solvers] to obtain discretization-error-accurate solutions…
Algebraic error analysis for mixed-precision multigrid solvers
Stephen F. McCormick, Joseph Benzaken, Rasmus Tamstorf
This paper establishes the first theoretical framework for analyzing the rounding-error effects on multigrid methods using mixed-precision iterative-refinement solvers. While motiv…
Weak Boundary Condition Enforcement for Linear Kirchhoff-Love Shells: Formulation, Error Analysis, and Verification
Joseph Benzaken, John A. Evans, Stephen McCormick +1
Stable and accurate modeling of thin shells requires proper enforcement of all types of boundary conditions. Unfortunately, for Kirchhoff-Love shells, strong enforcement of Dirichl…