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math.NA2020
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…
math.NA2020
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…
math.NA2020
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…