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An expanded mixed finite element method for nonlinear non-Fickian diffusion in viscoelastic polymers

机译：粘弹性聚合物中非线性非Fickian扩散的扩展混合有限元方法

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In this paper we develop an expanded mixed finite element method for nonlinear non-Fickian diffusion model in viscoelastic polymers. The method can approximate the unknown function, its gradient and its flux. Optimal order error estimates in L²-norm for the unknown function, its gradient and its flux are obtained.

机译：在本文中，我们为粘弹性聚合物中的非线性非菲克扩散模型开发了一种扩展的混合有限元方法。该方法可以近似未知函数，其梯度和通量。在L ^{2 范数中针对未知函数，梯度和通量的最优阶误差估计。}

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《Information Science and Technology (ICIST), 2012 International Conference on 》|2012年|p.288- 293|共6页
会议地点 Wuhan(CN)
作者
Wang Yiqing; Chen Huanzhen;
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作者单位

School of Mathematical Sciences, Shandong Normal University, Jinan, Shandong Province, CO 250014;

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正文语种 eng
中图分类计算机的应用 ;
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专利

1. Discontinuous Galerkin finite element approximation of nonlinear non-Fickian diffusion in viscoelastic polymers [J] . Riviere B, Shaw S SIAM Journal on Numerical Analysis . 2006 ,第6期

机译：粘弹性聚合物中非线性非Fickian扩散的不连续Galerkin有限元逼近
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. An expanded mixed finite element method for nonlinear non-Fickian diffusion in viscoelastic polymers [C] . Wang Yiqing, Chen Huanzhen IEEE International Conference on Information Science and Technology . 2012

机译：粘弹性聚合物中非线性非Fickian扩散的扩展混合有限元法
5. A finite element analysis of adhesively bonded composite joints including geometric nonlinearity, nonlinear viscoelasticity, moisture diffusion and delayed failure. [D] . Roy, Samit. 1988

机译：胶粘复合接头的有限元分析，包括几何非线性，非线性粘弹性，湿气扩散和延迟破坏。
6. Edge-based nonlinear diffusion for finite element approximations of convection–diffusion equations and its relation to algebraic flux-correction schemes [O] . Gabriel R. Barrenechea, Erik Burman, Fotini Karakatsani -1

机译：对流扩散方程有限元逼近的基于边缘的非线性扩散及其与代数通量校正方案的关系
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
8. Finite Element Analysis of Adhesively Bonded Composite Joints Including Geometric Nonlinearity, Nonlinear Viscoelasticity, Moisture Diffusion, and Delayed Failure [R] . Roy, S. , Reddy, J. N. 1987

机译：粘接复合材料接头的有限元分析，包括几何非线性，非线性粘弹性，水分扩散和延迟失效

An expanded mixed finite element method for nonlinear non-Fickian diffusion in viscoelastic polymers

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