2013/05/14 by François Cuvelier, Cuvelier, François, Caroline Japhet +3
Engineering · #Advanced Numerical Analysis Techniques #FOS: Computer and information sciences #FOS: Mathematics #Manufacturing Process and Optimization #Mathematical Software (cs.MS) #Numerical Analysis (math.NA) #Robotic Mechanisms and Dynamics
paper · pdf · doi:10.48550/arxiv.1305.3122
openalex publication_date 2013/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe different optimization techniques to perform the assembly of finite element matrices in Matlab and Octave, from the standard approach to recent vectorized ones, without any low level language used. We finally obtain a simple and efficient vectorized algorithm able to compete in performance with dedicated software such as FreeFEM++. The principle of this assembly algorithm is general, we present it for different matrices in the P1 finite elements case and in linear elasticity. We present numerical results which illustrate the computational costs of the different approaches