Numerical Analysis

Nodal finite element approximation of peridynamics

In this work, nodal finite element discretization is detailed.

Mar 11, 2024
Conference talk: Analysis and application of peridynamics to fracture in solids and granular media

Analysis and application of peridynamics to fracture in solids and granular media

Jul 25, 2021
Finite Element Approximation of Nonlocal Dynamic Fracture Models

Mar 1, 2021
Finite Element Convergence for State-Based Peridynamic Fracture Models

Mar 1, 2020
Conference talk: Numerical fracture experiments using nonlinear nonlocal models

Numerical fracture experiments using nonlinear nonlocal models

Jul 30, 2019
Conference talk: Convergence results for finite element and finite difference approximation of nonlocal fracture

Convergence results for finite element and finite difference approximation of nonlocal fracture

Jul 17, 2019
Numerical Convergence of Finite Difference Approximations for State-Based Peridynamic Fracture Models

Jul 1, 2019
Departmental seminar: Modelling fracture in solids using nonlocal interaction: A brief overview of Peridynamics

Overview of peridynamics theory of fracture and some results on robustness of finite difference and finite element discretizations

Apr 12, 2019
Well-Posed Nonlinear Nonlocal Fracture Models Associated with Double-Well Potentials

Jan 11, 2019
Finite Differences and Finite Elements in Nonlocal Fracture Modeling: A Priori Convergence Rates

Jan 11, 2019