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.

翻译：在这项工作中,我们展示了非本地模型的定点元素近似组合码的数学基础,非本地模型有紧密支持、微弱的单内核。我们展示了各种配置的非本地扩散模型代码和二维基于债券的远洋动力学模型的代码。代码nlfem是根据麻省理工学院许可证出版的,可以自由下载。