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A new robust C-type nonconforming triangular element for singular perturbation problems |
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| Authors: | Pingli Xie Dongyang Shi |
| Institution: | a School of Science, Henan University of Technology, Zhengzhou 450001, P.R. China b School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China c Department of Mathematics, Zhengzhou University, Zhengzhou 450052, PR China |
| Abstract: | In this paper, a new robust C0 triangular element is proposed for the fourth order elliptic singular perturbation problem with double set parameter method and bubble function technique, and a general convergence theorem for C0 nonconforming elements is presented. The convergence of the new element is proved in the energy norm uniformly with respect to the perturbation parameter. Numerical experiments are also carried out to demonstrate the efficiency of the new element. |
| Keywords: | Double set parameter Singular perturbation Nonconforming Bubble function |
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