9 citations · 14 across the 4 of their papers we have counts for
4 papers
Matrix-free phase-field modeling of fracture in micromechanical testing simulations of inelastic materials
Fabio Di Gioacchino, Rezgar Shakeri, Zachary Atkins +4
Resolving steep damage gradients across diffuse cracks in the phase-field modeling of fracture favors the use of high-order finite elements, for which matrix-free methods can provi…
Stable numerics for finite-strain elasticity
Rezgar Shakeri, Leila Ghaffari, Jeremy L. Thompson +1
A backward stable numerical calculation of a function with condition number will have a relative accuracy of . Standard formulations and software implement…
Performance Portable Solid Mechanics via Matrix-Free -Multigrid
Jed Brown, Valeria Barra, Natalie Beams +7
Finite element analysis of solid mechanics is a foundational tool of modern engineering, with low-order finite element methods and assembled sparse matrices representing the indust…
Local Fourier Analysis of P-Multigrid for High-Order Finite Element Operators
Jeremy L. Thompson, Jed Brown, Yunhui He
Multigrid methods are popular for solving linear systems derived from discretizing PDEs. Local Fourier Analysis (LFA) is a technique for investigating and tuning multigrid methods.…