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一类二维变系数椭圆方程数值求解

THE NUMERICAL SOLUTION OF A CLASS OF TWO-DIMENSIONAL VARIABLE COEFFICIENT ELLIPSE EQUATION
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摘要 利用有限元法求解了二维变系数椭圆方程边值问题,得到了相应的误差分析,并进行了数值模拟。结果表明解此类问题时有限元法具有程序简单,计算精度高的优点。 In this paper,two-dimensional variable coefficient ellipse equation with boundary conditions is resolved by using the finite element method,concludes the corresponding error estimation and is carried on the numerical solution simulation.The numerical results show that the finite element can make the program simply and highly accurate in this kind of problem.
机构地区 巢湖学院数学系
出处 《巢湖学院学报》 2008年第6期19-23,共5页 Journal of Chaohu University
关键词 椭圆 有限元 误差 ellipse finite element error
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参考文献2

  • 1Partha Roy Chaudhuri,Sourabh Roy. Analysis of arbitrary index profile planar optical waveguides and multilayer nonlinear structures: a simple finite difference algorithm[J] 2007,Optical and Quantum Electronics(3):221~237
  • 2Carlos Castro,Sorin Micu. Boundary controllability of a linear semi-discrete 1-D wave equation derived from a mixed finite element method[J] 2006,Numerische Mathematik(3):413~462

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