47 citations · 102 across the 10 of their papers we have counts for
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math.AP2016
Complex fracture nucleation and evolution with nonlocal elastodynamics
Robert Lipton, Stewart Silling, Richard Lehoucq
A mechanical model is introduced for predicting the initiation and evolution of complex fracture patterns without the need for a damage variable or law. The model, a continuum vari…
math.NA2016
A Meshless Galerkin Method For Non-Local Diffusion Using Localized Kernel Bases
Richard B. Lehoucq, Francis J. Narcowich, Stephen T. Rowe +1
We introduce a meshless method for solving both continuous and discrete variational formulations of a volume constrained, nonlocal diffusion problem. We use the discrete solution t…