A new parameter free partially penalized immersed finite element and the optimal convergence analysis

Author:

Ji Haifeng,Wang Feng,Chen Jinru,Li Zhilin

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference51 articles.

1. Adjerid, S., Babuška, I., Guo, R., Lin, T.: An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions. arXiv preprint arXiv:2004.13244 (2020)

2. Adjerid, S., Ben-Romdhane, M., Lin, T.: Higher degree immersed finite element spaces constructed according to the actual interface. Comput. Math. Appl. 75, 1868–1881 (2018)

3. Adjerid, S., Guo, R., Lin, T.: High degree immersed finite element spaces by a least squares method. Int. J. Numer. Anal. Model. 14, 604–626 (2017)

4. Babuška, I.: The finite element method for elliptic equations with discontinuous coefficients. Computing 5, 207–213 (1970)

5. Bramble, J.H., King, J.T.: A robust finite element method for nonhomogeneous Dirichlet problems in domains with curved boundaries. Math. Comp. 63, 1–17 (1994)

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