256 citations · 934 across the 55 of their papers we have counts for
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math.NA2015
Linear and nonlinear solvers for variational phase-field models of brittle fracture
Patrick E. Farrell, Corrado Maurini
The variational approach to fracture is effective for simulating the nucleation and propagation of complex crack patterns, but is computationally demanding. The model is a strongly…
math.OC2015★ 2 cited
Distinct solutions of finite-dimensional complementarity problems
Matteo Croci, Patrick E. Farrell
Complementarity problems often permit distinct solutions, a fact of major significance in optimization, game theory and other fields. In this paper, we develop a numerical techniqu…
math.OC2015
The number of distinct eigenvalues of a matrix after perturbation
Patrick E. Farrell
We prove a new theorem relating the number of distinct eigenvalues of a matrix after perturbation to the prior number of distinct eigenvalues, the rank of the update, and the degre…