粘弹性波动方程的H1-Galerkin混合有限元方法误差估计

数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 131-137.

粘弹性波动方程的H¹-Galerkin混合有限元方法误差估计

1. School of Statistics and Mathematics, Inner Mongolia Finance and Economics College2. School of Mathematical Sciences, Inner Mongolia University

收稿日期:2006-12-27 出版日期:2011-03-30 发布日期:2023-05-12
作者简介:WANG Jin-feng(1980- ), female, native of Huludao, Liaoning, a lecturer of Inner Mongolia Finance and Economics College, engages in the theories and numerical methods for diﬀerential equations.
基金资助:
Supported by NNSF(10601022,11061021)； Supported by NSF of Inner Mongolia Au-tonomous Region(200607010106)； Supported by SRP of Higher Schools of Inner Mongolia(NJ10006)；

Error Estimates of H¹-Galerkin Mixed Methods for the Viscoelasticity Wave Equation

1. School of Statistics and Mathematics, Inner Mongolia Finance and Economics College2. School of Mathematical Sciences, Inner Mongolia University

Received:2006-12-27 Online:2011-03-30 Published:2023-05-12
About author:WANG Jin-feng(1980- ), female, native of Huludao, Liaoning, a lecturer of Inner Mongolia Finance and Economics College, engages in the theories and numerical methods for diﬀerential equations.
Supported by:
Supported by NNSF(10601022,11061021)； Supported by NSF of Inner Mongolia Au-tonomous Region(200607010106)； Supported by SRP of Higher Schools of Inner Mongolia(NJ10006)；

摘要/Abstract

摘要： H¹-Galerkin mixed methods are proposed for viscoelasticity wave equation. Depending on the physical quantities of interest, two methods are discussed. The optimal error estimates and the proof of the existence and uniqueness of semidiscrete solutions are derived for problems in one space dimension. And the methods don’t require the LBB condition.

关键词: viscoelasticity wave equation, H¹-Galerkin mixed ?nite element methods, existence and uniqueness, optimal error estimates

Abstract: H¹-Galerkin mixed methods are proposed for viscoelasticity wave equation. Depending on the physical quantities of interest, two methods are discussed. The optimal error estimates and the proof of the existence and uniqueness of semidiscrete solutions are derived for problems in one space dimension. And the methods don’t require the LBB condition.

Key words: viscoelasticity wave equation, H¹-Galerkin mixed ?nite element methods, existence and uniqueness, optimal error estimates

中图分类号:

O241.82

王金凤, 刘洋, 李宏. 粘弹性波动方程的H¹-Galerkin混合有限元方法误差估计[J]. 数学季刊, 2011, 26(1): 131-137.

WANG Jin-feng, LIU Yang, LI Hong. Error Estimates of H¹-Galerkin Mixed Methods for the Viscoelasticity Wave Equation[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 131-137.

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粘弹性波动方程的H¹-Galerkin混合有限元方法误差估计

Error Estimates of H¹-Galerkin Mixed Methods for the Viscoelasticity Wave Equation

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