Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems |
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Authors: | Li Wang Yongke WU Xiaoping Xie |
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Institution: | School of Mathematics, Sichuan University, Chengdu 610064, China |
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Abstract: | In this article, we consider rectangular finite element methods for fourth order elliptic singular perturbation problems. We show that the non‐ C0 rectangular Morley element is uniformly convergent in the energy norm with respect to the perturbation parameter. We also propose a C0 extended high order rectangular Morley element and prove the uniform convergence. Finally, we do some numerical experiments to confirm the theoretical results. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013 |
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Keywords: | fourth order elliptic problems rectangular Morley element singular perturbation |
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