A Framework for Nonconforming Mixed Finite Element Method for Elliptic Problems in ℝ3

Joint Authors

Jo, Gwanghyun
Kim, J. H.

Source

Journal of Applied Mathematics

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-04-09

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

In this paper, we suggest a new patch condition for nonconforming mixed finite elements (MFEs) on parallelepiped and provide a framework for the convergence.

Also, we introduce a new family of nonconforming MFE space satisfying the new patch condition.

The numerical experiments show that the new MFE shows optimal order convergence in Hdiv and L2-norm for various problems with discontinuous coefficient case.

American Psychological Association (APA)

Jo, Gwanghyun& Kim, J. H.. 2020. A Framework for Nonconforming Mixed Finite Element Method for Elliptic Problems in ℝ3. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1174496

Modern Language Association (MLA)

Jo, Gwanghyun& Kim, J. H.. A Framework for Nonconforming Mixed Finite Element Method for Elliptic Problems in ℝ3. Journal of Applied Mathematics No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1174496

American Medical Association (AMA)

Jo, Gwanghyun& Kim, J. H.. A Framework for Nonconforming Mixed Finite Element Method for Elliptic Problems in ℝ3. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1174496

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1174496