有限元等级及非线性Galerkin方法----Ginzberg-Landau方程及其数值计算

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	有限元等级及非线性Galerkin方法----Ginzberg-Landau方程及其数值计算
Alternative Title	Finite Element Hierarchical Basis Nonlinear Galerkin Methods---Ginzberg_Landau equations and its Numerical Computations
	赵廷刚
Thesis Advisor	伍渝江
	2002-05-12
Degree Grantor	兰州大学
Place of Conferral	兰州
Degree Name	硕士
Keyword	Ginzburg-Landau方程近似惯性流形非线性Galerkin
Abstract	本文讨论了Ginzburg-Landau方程的不同的近似惯性流形下的几种数值计算方法------非线性Galerkin方法，给出了各种方法的收敛性．之后，用有限元等级基离散技术实现了这种非线性Galerkin方法．我们在微机上作了数值实验，计算结果也验证了这种非线性Galerkin方法的有效性．
Other Abstract	For numerical computation of Ginzburg—Landau equations, several schemes, which come from various approximate inertial manifolds, were discussed in this paper. That is, we called them nonlinear Galerkin methods. We present the convergence of the nonlinear Galerkin method. Following that, we showed the efficiency of the nonlinear Galerkin method after using finite element hierarchical basis to discrete the problem and programming it on pc computer.
URL	查看原文
Language	中文
Document Type	学位论文
Identifier	https://ir.lzu.edu.cn/handle/262010/224379
Collection	数学与统计学院
Recommended Citation GB/T 7714	赵廷刚. 有限元等级及非线性Galerkin方法----Ginzberg-Landau方程及其数值计算[D]. 兰州. 兰州大学,2002.

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