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In this article, we discuss the optimization of the standard assembly procedure of the global stiffness matrix for the P1-conforming finite element method. Our work is distinguished by its development of vectorized assembly techniques for the global stiffness matrix, which we have complemented with the MATLAB codes. This approach is adaptable to all other programming languages. We provide numerical results to demonstrate the outstanding performance of our MATLAB codes and compare them with those written in Python, Julia, and R.

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Vectorized Assembly of 2D and 3D Finite Element Stiffness Matrices

  • 会议论文

  • 发表日期：

    2026年

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  • Harish Nagula Mallesham

摘要

In this article, we discuss the optimization of the standard assembly procedure of the global stiffness matrix for the P1-conforming finite element method. Our work is distinguished by its development of vectorized assembly techniques for the global stiffness matrix, which we have complemented with the MATLAB codes. This approach is adaptable to all other programming languages. We provide numerical results to demonstrate the outstanding performance of our MATLAB codes and compare them with those written in Python, Julia, and R.