48 citations · 53 across the 3 of their papers we have counts for
6 papers
Constructing Nitsche's method for variational problems
Joseph Benzaken, John A. Evans, Rasmus Tamstorf
Nitsche's method is a well-established approach for weak enforcement of boundary conditions for partial differential equations (PDEs). It has many desirable properties, including t…
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…
Physics-Informed Tolerance Allocation: A Surrogate-Based Framework for the Control of Geometric Variation on System Performance
Joseph Benzaken, Alireza Doostan, John A. Evans
In this paper, we present a novel tolerance allocation algorithm for the assessment and control of geometric variation on system performance that is applicable to any system of par…
A geometric multigrid method for isogeometric compatible discretizations of the generalized Stokes and Oseen problems
Christopher Coley, Joseph Benzaken, John A. Evans
In this paper, we present a geometric multigrid methodology for the solution of matrix systems associated with isogeometric compatible discretizations of the generalized Stokes and…