H~1 -Galerkin expanded mixed finite element methods for pseudo-hyperbolicequations

机译：H〜1-Galerkin扩大混合有限元方法对于伪双曲面quation

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H~1-Galerkin mixed finite element method combining with expanded mixed element method are discussed for a class of second-order pseudo-hyperbolic equations. The methods possesses the advantage of mixed finite element while avoiding directly inverting the permeability tensor, which is important especially in a low permeability zone. Depended on the physical quantities of interest, the methods are discussed. The existence and uniqueness of numerical solutions of the scheme are derived and an optimal order error estimate for the methods is obtained.

机译：H〜1-Galerkin混合有限元方法与扩展混合元素法组合的一类二阶伪双曲方程。该方法具有混合有限元件的优点，同时避免直接反转渗透性张量，这对于特别是在低渗透区中重要。取决于兴趣的物理量，讨论了这些方法。获得了该方案的数值解的存在和唯一性，获得了对方法的最佳顺序误差估计。

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《International Conference on Computational Materials Science》|2011年||共5页
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作者
Meixia Li;
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中图分类 TB3-532;
关键词
H~1-Galerkin expanded mixed finite element method; weak formulation; pseudo-hyperbolic equations;

机译：H〜1-Galerkin扩展混合有限元法;弱配方;伪双曲方程;

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1. H~1-Galerkin expanded mixed finite element methods for nonlinear pseudo-parabolic integro-differential equations [J] . Che H., Zhou Z., Jiang Z., Numerical Methods for Partial Differential Equations: An International Journal . 2013,第3期

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2. An Optimal Error Estimates of H~1-Galerkin Expanded Mixed Finite Element Methods for Nonlinear Viscoelasticity-Type Equation [J] . Haitao Che, Yiju Wang, Zhaojie Zhou Mathematical Problems in Engineering . 2011,第PTa4期

机译：非线性粘弹性类型方程的H〜1-Galerkin扩展混合有限元方法的最优误差估计
3. An Optimal Error Estimates ofH1-Galerkin Expanded Mixed Finite Element Methods for Nonlinear Viscoelasticity-Type Equation [J] . HaitaoChe, YijuWang, ZhaojieZhou Mathematical Problems in Engineering: Theory, Methods and Applications . 2011,第3期

机译：非线性粘弹性类型方程的H1-Galerkin扩展混合有限元方法的最优误差估计
4. H~1 -Galerkin expanded mixed finite element methods for pseudo-hyperbolicequations [C] . Meixia Li International Conference on Computational Materials Science . 2011

机译：H〜1-Galerkin扩大混合有限元方法对于伪双曲面quation
5. Weak Galerkin Finite Element Method with Mixed Boundary Conditions [D] . Hussain, Saqib 2018

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6. Numerical Analysis of an H1-Galerkin Mixed Finite Element Method for Time Fractional Telegraph Equation [O] . Jinfeng Wang, Meng Zhao, Min Zhang, -1

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7. An Optimal Error Estimates ofH1-Galerkin Expanded Mixed Finite Element Methods for Nonlinear Viscoelasticity-Type Equation [O] . Haitao Che, Yiju Wang, Zhaojie Zhou 2011

机译：非线性粘弹性型方程的H1-Galerkin扩展混合有限元方法的最佳误差估计

H~1 -Galerkin expanded mixed finite element methods for pseudo-hyperbolicequations

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