|Table of Contents|

A Low-Order Locking-Free Virtual Element Method for the Linear Elasticity Problem(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2024年01期
Page:
1-6
Research Field:
数学
Publishing date:

Info

Title:
A Low-Order Locking-Free Virtual Element Method for the Linear Elasticity Problem
Author(s):
Wang Xiaohan; Wang Feng
(School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China)
Keywords:
linear elasticity problem; low-order virtual element method; locking phenomenon
PACS:
O24
DOI:
10.3969/j.issn.1001-4616.2024.01.001
Abstract:
In this paper,we propose a low-order virtual element method for the linear elasticity problem in two dimensions. We construct a discrete space by enriching the low order conforming virtual element space with discontinuous piecewise linear vector-valued functions. A corresponding discrete problem is introduced. It is proved that the error estimation is optimal with respect to the energy norm,and the hidden constant is independent of the Lamé constant λ. Finally,some numerical examples are given to verify the theoretical results.

References:

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Last Update: 2024-03-15