Numerical Approximation of a Two-Dimensional Singular-Perturbation Problem Using an Asymptotic Expansion and a Finite Element Method-Reference-Cited by-同舟云学术

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Numerical Approximation of a Two-Dimensional Singular-Perturbation Problem Using an Asymptotic Expansion and a Finite Element Method

Published:1993 Issue: Volume: Page:311-319
ISSN:
Container-title:Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters
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Author:

Baranger Jacques,Alami El Ferricha Mohammed,Amri Harsan

Publisher

Springer Netherlands

Link

http://link.springer.com/content/pdf/10.1007/978-94-011-1810-1_20

Reference10 articles.

1. Baranger, J., and El Amri, H.(1990) ‘Numerical solution of spectral problem for an ODE with a small parameter using an asymptotic expansion and a finite element method’, Numer. Fund. Anal, and Optimiz., 11, 621–642.

2. Bernardi, C. (1975) ‘Optimal finite interpolation on curved domains’, SIAM J. Numer. Anal., 26 (1989) 1212–1260.

3. Besjes, J. G. (1975) ‘Singular perturbation problems for linear differential operators of arbitrary order. I Degeneration to elliptic operators’, J. Math. Anal. Appls., 49, 324–346.

4. Ciarlet, P. G. (1978) The Finite Element Method for Elliptic Problems. Studies in Math, and its Applications, Vol. 4, North Holland, Amsterdam.

5. Clément, Ph. (1978) ‘Approximation by finite element functions using local regularization’, RAIRO, 2, 77–84.

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