35 citations · 148 across the 16 of their papers we have counts for
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math.NA2017★ 2 cited
Finite element approximation of nonlocal fracture models
Prashant K. Jha, Robert Lipton
We consider nonlocal nonlinear potentials and estimate the rate of convergence of time stepping schemes to the peridynamic equation of motion. We begin by establishing the existenc…
math.NA2017★ 27 cited
Numerical analysis of nonlocal fracture models in Hölder space
Prashant K. Jha, Robert Lipton
In this work, we calculate the convergence rate of the finite difference approximation for a class of nonlocal fracture models. We consider two point force interactions characteriz…