奇异摄动问题的有限元方法
The Finite Element Method of Singular Perturbation Problem
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摘要: 本文利用不同次数的多项式构造了新的有限元子空间,建立了新的有限元格式.证明了格式的收效性和退化差分方程的稳定性.Abstract: In this paper,we construct new finite element subspace using polynomials of different degrees and the new finite element scheme is established.The convergence of the scheme and the stability of the reduced difference equation are proved.
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[1] Miller,John J,H.,Construction of a FEM for a Singularlg Perturbed problemin 2 Dimeusions,International Series of Numerical Mathematics,Vol 31(1976),165-169. [2] 苏煌城、昊启光,椭圆-抛物偏微分方程奇异摄动问题的差分解法,应用数学和力学,1.2(1980).167-176.
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