| 伪双曲方程的新混合有限元方法 |
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| 引用本文： | 刘洋,李宏.伪双曲方程的新混合有限元方法[J].应用数学,2010,23(1). |
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| 作者姓名： | 刘洋 李宏 |
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| 作者单位： | 内蒙古大学数学科学学院,内蒙古,呼和浩特,010021 |
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| 基金项目： | the National Natural Science Fund，NSF of Inner Mongolia Autonomous Region，513 Fund and Youth Science Fund |
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| 摘 要： | 构造分析一类二阶伪双曲方程的H1-Galerkin扩展混合有限元方法,该方法采用了扩展混合有限元方法和H1-Galerkin混合有限元方法相结合的技巧.新的格式同时保持了扩展混合有限元方法和H1-Galerkin混合有限元方法的优点.该混合格式与标准的混合格式相比能同时逼近三个变量:未知函数、梯度和流量(系数乘以梯度),并且不必满足LBB相容性条件.
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| 关 键 词： | 伪双曲方程 H1-Galerkin扩展混合有限元方法 半离散和全离散格式 误差估计 |
A New Mixed Finite Element Method for Pseudo-Hyperbolic Equation |
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| LIU Yang,LI Hong.A New Mixed Finite Element Method for Pseudo-Hyperbolic Equation[J].Mathematica Applicata,2010,23(1). |
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| Authors: | LIU Yang LI Hong |
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| Abstract: | An H1 - Galerkin expanded mixed finite element method which combines expanded mixed finite element and H1 - Galerkin mixed finite element method is constructed and analyzed for a class of second order pseudo-hyperbolic equations. The new formulation not only keeps the advantages of expanded mixed formulation but also keeps the advantages of H1- Galerkin mixed formulation. The new mixed formulation expands the standard mixed formulation in the sense that three variables are explicitly treated:the scalar unknown, its gradient and its flux (coefficient times the gradient), what 's more,the proposed approach does not require LBB consistency condition. |
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| Keywords: | Pseudo-hyperbolic equations H1- Galerkin expanded mixed finite element method Semidiscrete and fully discrete schemes Error estimates |
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