| 粘弹性波动方程的H~1-Galerkin混合有限元方法误差估计(英文) |
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| 引用本文： | 王金凤,刘洋,李宏.粘弹性波动方程的H~1-Galerkin混合有限元方法误差估计(英文)[J].数学季刊,2011(1):131-137. |
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| 作者姓名： | 王金凤 刘洋 李宏 |
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| 作者单位： | School of Statistics and Mathematics;Inner Mongolia Finance and Economics College;School of Mathematical Sciences;Inner Mongolia University; |
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| 基金项目： | 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) |
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| 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.
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| 关 键 词： | viscoelasticity wave equation H1-Galerkin mixed finite element methods existence and uniqueness optimal error estimates |
Error Estimates of H~1-Galerkin Mixed Methods for the Viscoelasticity Wave Equation |
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| WANG Jin-feng,LIU Yang,LI Hong.Error Estimates of H~1-Galerkin Mixed Methods for the Viscoelasticity Wave Equation[J].Chinese Quarterly Journal of Mathematics,2011(1):131-137. |
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| Authors: | WANG Jin-feng LIU Yang LI Hong |
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| Institution: | WANG Jin-feng~1,LIU Yang~2,LI Hong~2(1.School of Statistics and Mathematics,Inner Mongolia Finance and Economics College,Hohhot 010051,China,2.School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China) |
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| 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. |
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| Keywords: | viscoelasticity wave equation H1-Galerkin mixed finite element methods existence and uniqueness optimal error estimates |
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