On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems

作者：

Highlights：

• A new algorithm is proposed for the fast assemblage of finite element matrices.

• The vectorization of all element matrices is computed simultaneously as a matrix-matrix product.

• A significant speedup is achieved compared to standard matrix assembly algorithms.

• The new algorithm is tested on a nonlinear heat transfer problem against MATLAB’s PDE toolbox.

摘要

•A new algorithm is proposed for the fast assemblage of finite element matrices.•The vectorization of all element matrices is computed simultaneously as a matrix-matrix product.•A significant speedup is achieved compared to standard matrix assembly algorithms.•The new algorithm is tested on a nonlinear heat transfer problem against MATLAB’s PDE toolbox.

论文关键词：Finite element method,Matrix assembly,Mass matrix,Stiffness matrix,Vectorization

论文评审过程：Received 9 March 2022, Revised 27 August 2022, Accepted 29 August 2022, Available online 8 September 2022, Version of Record 8 September 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127516