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用偏微分方程数值解构造曲面
引用本文:马岭 张鲜. 用偏微分方程数值解构造曲面[J]. 工程图学学报, 1995, 0(2): 8-14
作者姓名:马岭 张鲜
作者单位:北京航空航天大学
摘    要:本文讨论四阶椭园方程一类周期问题的差分方法及在过渡面、自由曲面设计中的应用。同时通过实例讨论调整定解问题中的参数以修改曲面形状的方法。

关 键 词:偏微分方程 差分法 数值解 构造曲面

CONSTRUCTING SURFACES USING NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS
Ma Ling,Zhang Xian,Zhu Xinxiong. CONSTRUCTING SURFACES USING NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS[J]. Journal of Engineering Graphics, 1995, 0(2): 8-14
Authors:Ma Ling  Zhang Xian  Zhu Xinxiong
Affiliation:Beijing University of Aeronautics &Astronautics
Abstract:The paper discusses the difference method of solving the 4th ordered elliptic partial dif-ferential equations and its application to the design of blending and free form surfaces. Also,studied is,via some samples,the modification of surface shapes by varying the boundary con-ditions,Results show that the method is feasible in free form surface design.
Keywords:blending surface  difference method   free form surface  partial differential equa-tion
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