35 citations · 148 across the 16 of their papers we have counts for
5 papers · 1 filter
Goal-Oriented A-Posteriori Estimation of Model Error as an Aid to Parameter Estimation
Prashant K. Jha, J. Tinsley Oden
In this work, a Bayesian model calibration framework is presented that utilizes goal-oriented a-posterior error estimates in quantities of interest (QoIs) for classes of high-fidel…
Finite element convergence for state-based peridynamic fracture models
Prashant K. Jha, Robert Lipton
We establish the a-priori convergence rate for finite element approximations of a class of nonlocal nonlinear fracture models. We consider state based peridynamic models where the…
Numerical convergence of finite difference approximations for state based peridynamic fracture models
Prashant K. Jha, Robert Lipton
In this work, we study the finite difference approximation for a class of nonlocal fracture models. The nonlocal model is initially elastic but beyond a critical strain the materia…
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…
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…