Treffer: nlfem: a Flexible 2d FEM Python Code for Nonlocal Convection-Diffusion and Mechanics

Title:
nlfem: a Flexible 2d FEM Python Code for Nonlocal Convection-Diffusion and Mechanics
Source:
Journal of Peridynamics and Nonlocal Modeling. 6:87-117
Publisher Information:
Springer Science and Business Media LLC, 2023.
Publication Year:
2023
Document Type:
Fachzeitschrift Article
Language:
English
ISSN:
2522-8978
2522-896X
DOI:
10.1007/s42102-023-00108-6
Rights:
CC BY
Accession Number:
edsair.doi...........02435bc4e4fed112ff3e8d7afcf97dec
Database:
OpenAIRE

Weitere Informationen

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. Further examples can be found in D’Elia et al. (Math Models Methods Appl Sci 31(08):1505–1567, 2021). The code nlfem is published under the GNU General Public License (for details, see, e.g., https://www.gnu.org/licenses/gpl-3.0.de.html) and can be freely downloaded at https://gitlab.uni-trier.de/pde-opt/nonlocal-models/nlfem.