Robert Lipton

Nodal finite element approximation of peridynamics
Nonlocal Elastodynamics and Fracture
Finite Element Approximation of Nonlocal Dynamic Fracture Models
An Asynchronous and Task-Based Implementation of Peridynamics Utilizing HPX—the C++ Standard Library for Parallelism and Concurrency
Kinetic Relations and Local Energy Balance for LEFM from a Nonlocal Peridynamic Model
Finite Element Convergence for State-Based Peridynamic Fracture Models
Complex Fracture Nucleation and Evolution With Nonlocal Elastodynamics
Numerical Convergence of Finite Difference Approximations for State-Based Peridynamic Fracture Models
Dynamic Brittle Fracture from Nonlocal Double-Well Potentials: A State-Based Model
Dynamic Damage Propagation with Memory: A State-Based Model
Finite Differences and Finite Elements in Nonlocal Fracture Modeling: A Priori Convergence Rates
Well-Posed Nonlinear Nonlocal Fracture Models Associated with Double-Well Potentials
Free Damage Propagation With Memory
Numerical Convergence of Nonlinear Nonlocal Continuum Models to Local Elastodynamics
Numerical Analysis of Nonlocal Fracture Models in Holder Space

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