TWO-SCALE FEM FOR ELLIPTIC MIXED BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC COEFFICIENTS

Jin-ru Chen; Jun-Zhi Cui

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TWO-SCALE FEM FOR ELLIPTIC MIXED BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC COEFFICIENTS

机译：具有小周期系数的椭圆型混合边值问题的两尺度有限元

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摘要

In this paper, a dual approximate expression of the exact solution for mixed boundary value problems of second order elliptic PDE with small periodic coefficients is proposed. Meanwhile the error estimate of the dual approximate solution is discussed. Finally, a High-low order coupled two-scale finite element method is given, and its approximate error Is analysed.

机译：提出了周期系数小的二阶椭圆型PDE混合边值问题精确解的对偶近似表达式。同时讨论了对偶近似解的误差估计。最后，给出了一个高低阶二阶有限元耦合方法，并对其近似误差进行了分析。

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来源
《Journal of Computational Mathematics》 |2001年第5期|p.549-560|共12页
作者
Jin-ru Chen; Jun-Zhi Cui;
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正文语种 eng
中图分类计算数学;
关键词
Two-scale FEM; Mixed boundary value; Small periodic coefficients;

机译：两级有限元混合边界值;小周期系数;

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专利

1. Two-scale curved element method for elliptic problems with small periodic coefficients [J] . Jin-ru Chen, Jun-Zhi cui Journal of Computational Mathematics . 2002,第4期

机译：周期系数小的椭圆问题的两尺度弯曲单元法
2. Parabolic Martin Boundaries and Asymptotic Formulas of Heat Kernels for One-Dimensional Elliptic Operators with Periodic Coefficients [J] . Minoru Murata, Tetsuo Tsuchida Potential Analysis . 2010,第4期

机译：具有周期系数的一维椭圆算子的抛物线马丁边界和热核的渐近公式
3. Parabolic Martin Boundaries and Asymptotic Formulas of Heat Kernels for One-Dimensional Elliptic Operators with Periodic Coefficients [J] . Murata M., Tsuchida T. Potential analysis: An international journal devoted to the interactions between potential theory, probability theory, geometry and functional analysis . 2010,第4期

机译：具有周期系数的一维椭圆算子的抛物线马丁边界和热核的渐近公式
4. THE MIXED BOUNDARY VALUE PROBLEM FOR NONLINEAR NONDIVERGENCE ELLIPTIC SYSTEMS OF SECOND ORDER EQUATIONS WITH MEASURABLE COEFFICIENTS IN HIGHER DIMENSIONAL DOMAINS [C] . Dechang Chen, Guo Chun Wen International ISAAC Congress . 2003

机译：高尺寸域中可测量系数的二阶方程的非线性发光椭圆系统的混合边值问题
5. Impedance Matching for Discrete, Periodic Media and Application to Two-Scale Wave Propagation Models. [D] . Thirunavukkarasu, Senganal. 2013

机译：离散，周期性介质的阻抗匹配及其在两尺度波传播模型中的应用。
6. The Dirichlet Problem for Linear Elliptic Equations of Arbitrary Even Order with Variable Coefficients [O] . Felix E. Browder 1952

机译：变系数任意偶数线性椭圆方程的Dirichlet问题。
7. A Second-Order Two-Scale FEM Analysis for Time-Fractional Diffusion Equation with Small Periodic Coefficients [O] . Wang Ziqiang, Cao Junying 2014

机译：具有小周期系数的时间分数扩散方程的二阶二维分析

TWO-SCALE FEM FOR ELLIPTIC MIXED BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC COEFFICIENTS

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