A Div FOSLS Method Suitable for Quadrilateral RT and Hexahedral RTN $$H(\textrm{div})$$-elements-Reference-Cited by-同舟云学术

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A Div FOSLS Method Suitable for Quadrilateral RT and Hexahedral RTN $$H(\textrm{div})$$-elements

Published:2022-11-10 Issue:3 Volume:93 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Duan Huoyuan,Wang Can,Du Zhijie

Funder

National Natural Science Foundation of China

Hubei Key Laboratory of Computational Science, Wuhan University, China

Publisher

Springer Science and Business Media LLC

Subject

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

Link

https://link.springer.com/content/pdf/10.1007/s10915-022-02043-y.pdf

Reference40 articles.

1. Adams, R.A.: Sobolev Spaces. Academic Press, New York (1975)

2. Ambartsumyan, I., Khattatov, E., Lee, J., Yotov, I.: Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra, M3AS. Math. Model Method Appl. Sci. 29, 1037–1077 (2019)

3. Arbogast, T., Correa, M.R.: Two families of H(div) mixed finite elements on quadrilaterals of minimal dimension. SIAM J. Numer. Anal. 54, 3332–3356 (2016)

4. Arbogast, T., Tao, Z.: Construction of H(div)-conforming mixed finite elements on cuboidal hexahedra. Numer. Math. 142, 1–32 (2019)

5. Arnold, D.N., Boffi, D., Falk, R.S.: Quadrilateral H(div) finite elements. SIAM J. Numer. Anal. 42, 2429–2451 (2005)

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