Error estimates for mixed finite element approximations of the viscoelasticity wave equation

被引：10

作者：

Gao, LP

Liang, D

Zhang, B ^{[1
]}

机构：

[1] Coventry Univ, Sch Math & Informat Sci, Coventry CV1 5FB, W Midlands, England

[2] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2004年 / 27卷 / 17期

关键词：

viscoelasticity; wave equation; mixed finite element method; error estimates;

D O I：

10.1002/mma.534

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies mixed finite element approximations to the solution of the viscoelasticity wave equation. Two new transformations are introduced and a corresponding system of first-order differential-integral equations is derived. The semi-discrete and full-discrete mixed finite element methods are then proposed for the problem based on the Raviart-Thomas-Nedelec spaces. The optimal error estimates in L-2-norm are obtained for the semi-discrete and full-discrete mixed approximations of the general viscoelasticity wave equation. Copyright (C) 2004 John Wiley Sons, Ltd.

引用

页码：1997 / 2016

页数：20

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