Conference talk: Convergence results for finite element and finite difference approximation of nonlocal fracture
Jul 17, 2019·
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0 min read
Prashant K. Jha
Abstract
We show apriori convergence of the nonlinear Peridynamic models. The model is shown to be well-posed in Hölder space and Sobolev H2 space. Finite element approximation using linear conforming elements is shown to converge at the rate h2 where h is the mesh size. Piecewise constant approximation (finite difference) on a uniform grid is shown to converge at the rate h. We numerically demonstrate the convergence for the Mode-I crack propagation problem. We conclude by discussing future works.
Date
Jul 17, 2019 12:00 AM
Event
ICIAM 2019
Location
Valencia, Spain
