| 拟线性椭圆边值问题有限元校正方法 |
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| 引用本文： | 杨一都.拟线性椭圆边值问题有限元校正方法[J].计算数学,1992,14(4):467-471. |
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| 作者姓名： | 杨一都 |
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| 作者单位： | 贵州师范大学 |
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| 摘 要： | §1.主要结果 考虑拟线性椭圆边值问题 u=0,在?Ω上,其中Ω是R~2中凸多边形,z=(x,y),D_1=?/?x,D_2=?/?y,a_i(z,ξ_0,ξ_1,ξ_2)是定义在Ω×R×R×R上的函数,适当光滑,i=0,1,2.定义
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CORRECTION METHOD OF THE FINITE ELEMENT FOR QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS |
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| Institution: | Yang Yi-du Guizhou Normal University |
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| Abstract: | For quasilinear elliptic boundary value problems, finite element correction schemes withhigher order accuracy than the basic finite element method are proposed. Further, these sche-mes work on a fixed mesh of width h and only one nonlinear system and one linear systemhave to be solved. |
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