An Unfitted Finite Element Method by Direct Extension for Elliptic Problems on Domains with Curved Boundaries and Interfaces

Author:

Yang Fanyi,Xie XiaopingORCID

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference49 articles.

1. Adams, R.A., Fournier, J.J.F.: Sobolev Spaces, Pure and Applied Mathematics (Amsterdam), vol. 140, 2nd edn. Elsevier/Academic Press, Amsterdam (2003)

2. Areias, P.M.A., Belytschko, T.: Letter to the editor: A comment on the article: "A finite element method for the simulation of strong and weak discontinuities in solid mechanics" [Comput. Methods Appl. Mech. Engrg. 193 (2004)(33-35), 3523-3540

3. mr2075053] by Hansbo, A., Hansbo, P. Comput. Methods Appl. Mech. Engrg. 195 (2006)(9-12), 1275-1276

4. Ayuso de Dios, B., Brezzi, F., Havle, O., Marini, L.D.: $$L^2$$-estimates for the DG IIPG-0 scheme. Numer. Methods Partial Diff. Equ. 28(5), 1440–1465 (2012)

5. Babuška, I., Banerjee, U.: Stable generalized finite element method (SGFEM). Comput. Methods Appl. Mech. Eng. 201(204), 91–111 (2012)

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