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

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 peridyna...

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Bibliographic Details
Published in:arXiv.org 2022-07
Main Authors: Klar, Manuel, Vollmann, Christian, Schulz, Volker
Format: Article
Language:English
Subjects:
Finite element method
Online Access:Get full text
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Summary: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.
ISSN:2331-8422