Applied Mathematics; Computer Graphics and Computer-Aided Design; General Engineering; Analysis
Abstract :
[en] In this paper, several Newton-type methods of convergence order 2 or higher were tested on various nonlinear systems of equations and on an advanced material law implemented in a finite-element code. The computational speed, numerical efficiency, and robustness of each method were evaluated for each studied case. The effect of numerical damping was also studied. The results were then compared to put in light the strengths and weaknesses of each method. The most efficient and robust method for the material law in the finite-element code was identified as the Newton method with a selective numerical damping.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Morch, Hélène ; Université de Liège - ULiège > Urban and Environmental Engineering
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