Convergence analysis of the Adini element on a Shishkin mesh for a singularly perturbed fourth-order problem in two dimensions
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10444-018-9646-0.pdf
Reference37 articles.
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2. Brenner, S. C., Gudi, T., Neilan, M., Sung, L.Y.: c 0 penalty methods for the fully nonlinear Monge-Ampère equation. Math. Comput. 80 (276), 1979–1995 (2011). https://doi.org/10.1090/S0025-5718-2011-02487-7 https://doi.org/10.1090/S0025-5718-2011-02487-7
3. Brenner, S. C., Neilan, M.: A c 0 interior penalty method for a fourth order elliptic singular perturbation problem. SIAM J. Numer. Anal. 49(2), 869–892 (2011). https://doi.org/10.1137/100786988
4. Brenner, S. C., Scott, L. R.: The Mathematical Theory of Finite Element Methods Texts in Applied Mathematics, 3rd edn., vol. 15. Springer, New York (2008). https://doi.org/10.1007/978-0-387-75934-0
5. Chen, H., Chen, S.: Uniformly convergent nonconforming element for 3-D fourth order elliptic singular perturbation problem. J. Comput. Math. 32(6), 687–695 (2014). https://doi.org/10.4208/jcm.1405-m4303 https://doi.org/10.4208/jcm.1405-m4303
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