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粘弹性方程一种新的分裂正定混合元法)
A NEW SPLITTING POSITIVE DEFINITE MIXED FINITE ELEMENT METHOD FOR VISCOELASTIC EQUATION
查看参考文献10篇
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文摘
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本文用分裂正定混合有限元方法研究二阶粘弹性方程。首先构造一种新的分裂正定混合变分形式和基于这种分裂正定混合变分形式关于时间的半离散格式,然后绕开关于空间变量的半离散化格式,直接从时间半离散出发构造出全离散化的分裂正定混合有限元格式,并给出这种分裂正定混合有限元解的误差估计。这种研究思路使得理论论证变得更简单,这是处理二阶粘弹性方程的一种新的尝试。 |
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其他语种文摘
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In this paper, a second-order viscoelastic equation is studied with a splitting positive definite mixed finite element method. A new splitting positive definite mixed variational form and a semi-discrete formulation with respect to time based on the splitting positive definite mixed variational form are established first. And then, a fully discrete splitting positive definite mixed finite element formulation is established directly from the semi-discrete formulation with respect to time. Finally, the error estimates of the splitting positive definite mixed finite element solutions are provided. The studied approaches could make theoretical argumentation simpler and more convenient, which is a new study attempt for second-order viscoelastic equation. |
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来源
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计算数学
,2013,35(1):49-58 【核心库】
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关键词
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二阶粘弹性方程
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分裂正定混合有限元方法
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误差分析
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地址
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1.
贵州师范大学数学与计算机科学学院, 贵阳, 550001
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(北京)华北电力大学数理学院, 北京, 102206
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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0254-7791 |
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学科
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数学 |
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基金
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国家自然科学基金项目
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贵州省项目
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河北省自然科学基金
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文献收藏号
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CSCD:4762936
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