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

2022/07/08 by Manuel Klar, Klar, Manuel, Christian Vollmann +3
Engineering · #Numerical methods in engineering #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods

paper · pdf · doi:10.48550/arxiv.2207.03921

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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