Fast MATLAB evaluation of nonlinear energies using FEM in 2D and 3D: Nodal elements

作者：

Highlights：

• MATLAB evaluation of nonlinear energies using the finite element methods.

• Vectorized evaluation of the energy functional and its gradient.

• Benchmarks with a full energy minimization (hyperelasticity, p-Laplacian) in two and three space dimensions.

摘要

•MATLAB evaluation of nonlinear energies using the finite element methods.•Vectorized evaluation of the energy functional and its gradient.•Benchmarks with a full energy minimization (hyperelasticity, p-Laplacian) in two and three space dimensions.

论文关键词：Finite element method,Nonlinear energy minimization,Hyperelasticity,Approximative gradient,Vectorization,MATLAB

论文评审过程：Received 27 August 2021, Revised 27 January 2022, Accepted 23 February 2022, Available online 15 March 2022, Version of Record 15 March 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127048