| 粘弹性方程的H^1-Galerkin混合有限元方法的误差 |
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| 引用本文： | 王焕清.粘弹性方程的H^1-Galerkin混合有限元方法的误差[J].三峡大学学报(自然科学版),2009,31(4):106-108. |
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| 作者姓名： | 王焕清 |
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| 作者单位： | 渤海大学,数学系,辽宁,锦州,121000 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 利用H^1-Galerkin混合有限元方法分析了线性粘弹性方程，得到了未知函数和它的伴随向量函数有限元解的最优阶误差估计，该方法的优点是不需验证LBB相容性条件即可得到和传统混合有限元方法相同的收敛阶数．
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| 关 键 词： | 粘弹性方程 H1-Galerkin混合有限元方法 误差估计 |
H1-Galerkin Mixed Finite Element Method for Viscoelasticity Equation |
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| Wang Huanqing.H1-Galerkin Mixed Finite Element Method for Viscoelasticity Equation[J].Journal of China Three Gorges University(Natural Sciences),2009,31(4):106-108. |
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| Authors: | Wang Huanqing |
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| Institution: | Wang Huanqing (Department of Mathematics, Bohai Univ. , Jinzhou 121000, China) |
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| Abstract: | H^1-Galerkin mixed finite element method is used to analyze the Viscoelasticity equations. Optimal error estimates are derived for the finite element solutions of the unknown functions and its gradients in one dimension. The advantage of this method is that approximation solutions have the same convergence rate as in the classical mixed finite element methods without the LBB consistency conditions. |
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| Keywords: | viscoelasticity equation H^1-Galerkin mixed finite element method error estimate |
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