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nlfem: A flexible 2d Fem Code for Nonlocal Convection-Diffusion and Mechanics

Published 8 Jul 2022 in math.NA, cs.MS, and cs.NA | (2207.03921v1)

Abstract: In this work we present the mathematical foundation of an assembly code for finite element approximations of nonlocal models with compactly supported, weakly singular kernels. We demonstrate the code on a nonlocal diffusion model in various configurations and on a two-dimensional bond-based peridynamics model. The code nlfem is published under the MIT License and can be freely downloaded.

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