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Journal of Scientific Computing

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26.02.2015

A New Stabilization Method for the Elasticity Problem

verfasst von: Dong-yang Shi, Ming-hao Li, Chao Xu

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2015

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Abstract

In this paper, we consider the elasticity problem based on the Hellinger–Reissner variational principle. We use the \(C^0\) continuous arbitrary degree polynomial mixed finite element spaces to approximate the stress and displacement, and develop a new stabilization method for the finite element space pairs to overcome the lack of the inf-sup condition, then we give the corresponding error estimates of the stabilization approximation scheme. At last, we implement a numerical example to test the stability and effectiveness of the proposed method.

Vorheriger Artikel Second Order Accurate IMEX Methods for Option Pricing Under Merton and Kou Jump-Diffusion Models

Nächster Artikel Theoretical and Numerical Investigation of the Finite Cell Method

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Titel: A New Stabilization Method for the Elasticity Problem
verfasst von: Dong-yang Shi
Ming-hao Li
Chao Xu
Publikationsdatum: 26.02.2015
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 3/2015
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-015-9996-4

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