拟线性椭圆型问题有限元近似解的迭代加速分析 |
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引用本文: | 刘雨田.拟线性椭圆型问题有限元近似解的迭代加速分析[J].计算数学,1985,7(1):6-13. |
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作者姓名: | 刘雨田 |
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作者单位: | 上海科技大学 |
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摘 要: | 一、问题的提出 我们考察二阶拟线性椭圆型第一边值问题: -?(α(x,u)?u)=f(x,u),在Ω内, u(x)=0,在?Ω上,其中Ω是R~n(n=2,3)中有界开区域,?Ω是Ω的光滑边界。若u(x),α(x,u(x))和f(x,u(x))有足够正规性,则问题(1)的等价弱形式方程是:对于u∈H_0~1(Ω), (α(x,u)?u,?v)=(f(x,u),v),?v∈H_0~1(Ω)。 (2)这里假设α(x,u)在Ω×R中为正的且有界,内积
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ITERATIVE ACCELERATION OF FINITE ELEMENT APPROXIMATIONS FOR QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS |
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Institution: | Liu Yu-tion Shanghai University of Science and Technology |
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Abstract: | In this paper, an iterative solution of low-degree finite element approximations forquasilinear elliptic boundary value problems is constructed. The theory of acceleratingthe convergence for this problem is established. |
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