Direct computation of stresses in linear elasticity

2015/01/13 by Weifeng Qiu, Qiu, Weifeng, Minglei Wang +3
Engineering · #Advanced Numerical Methods in Computational Mathematics #Elasticity and Material Modeling #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1501.02989

openalex publication_date 2015/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new finite element method based on the formulation introduced by Philippe G.~Ciarlet and Patrick Ciarlet, Jr. in [\em Math. Models Methods Appl. Sci., 15 (2005), pp. 259--571], which approximates strain tensor directly. We also show the convergence rate of strain tensor is optimal. This work is a non-trivial generalization of its two dimensional analogue in [\em Math. Models Methods Appl. Sci., 19 (2009), pp. 1043--1064]

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