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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References
Miller, John J. H., Construction of a FEM for a singularly perturbed problem in 2 dimensions, International Series of Numerical Mathematics, Vol. 31 (1976), 165–169.
Su Yu-cheng and Wu Chi-kuang, The difference methods for the solution of singular-perturbation for the elliptic-parabolic differential equation, Applied Mathematic and Mechanics, Vol. 1, No. 2, Dec. (1980), 175–185.
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Chi-kuang, W. The finite element method of singular perturbation problem. Appl Math Mech 5, 1011–1018 (1984). https://doi.org/10.1007/BF01875888
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DOI: https://doi.org/10.1007/BF01875888