Finite Element Method

Finite Element Approximation of Nonlocal Dynamic Fracture Models
In this work we estimate the convergence rate for time stepping schemes applied to nonlocal dynamic fracture modeling. Here we use the …
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Finite Element Convergence for State-Based Peridynamic Fracture Models
We establish the a priori convergence rate for finite element approximations of a class of nonlocal nonlinear fracture models. We …
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Finite Differences and Finite Elements in Nonlocal Fracture Modeling: A Priori Convergence Rates
In this chapter we present a rigorous convergence analysis of finite difference and finite element approximation of nonlinear nonlocal …
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Well-Posed Nonlinear Nonlocal Fracture Models Associated with Double-Well Potentials
In this chapter, we consider a generic class of bond-based nonlocal nonlinear potentials and formulate the evolution over suitable …
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