A Note On the Immersed Finite Element Basis Functions For Elliptic Interface Problems

Authors

Hongbo Guan, Zhengzhoug University of Light IndustryFollow
Zhimin Zhang, Beijing Computational Science Research CenterFollow
Huiqing Zhu, University of Southern MississippiFollow

Document Type

Article

Publication Date

5-1-2021

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

© 2020 Elsevier Ltd This paper considers the structure of basis functions in the bilinear immersed finite element space for two dimensional elliptic interface problems. On a rectangular interface element, each immersed basis function can be decomposed into a standard bilinear basis function and a corresponding bubble function, which provides another perspective on the nature of immersed basis functions. Detailed expressions of these bubble functions are presented on the reference element. The same pattern can be carried out for other immersed finite element spaces in a similar manner.

Publication Title

Applied Mathematics Letters

Volume

115

Recommended Citation

Guan, H., Zhang, Z., Zhu, H. (2021). A Note On the Immersed Finite Element Basis Functions For Elliptic Interface Problems. Applied Mathematics Letters, 115.
Available at: https://aquila.usm.edu/fac_pubs/18339