The Finite Element Method of Singular Perturbation Problem

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Wu Qi-Guang. The Finite Element Method of Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1984, 5(1): 33-40.

Citation:

Wu Qi-Guang. The Finite Element Method of Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1984, 5(1): 33-40.

Citation:

Wu Qi-Guang. The Finite Element Method of Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1984, 5(1): 33-40.

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.

[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.