Optimal Order Error Estimates of a Modified Nonconforming Rotated Q1 IFEM for Interface Problems

Joint Authors

Guan, Hongbo
Yin, Pei
Yue, Hongyun

Source

Mathematical Problems in Engineering

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-09-23

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Civil Engineering

Abstract EN

This paper presents a new numerical method and analysis for solving second-order elliptic interface problems.

The method uses a modified nonconforming rotated Q1 immersed finite element (IFE) space to discretize the state equation required in the variational discretization approach.

Optimal order error estimates are derived in L2-norm and broken energy norm.

Numerical examples are provided to confirm the theoretical results.

American Psychological Association (APA)

Yin, Pei& Yue, Hongyun& Guan, Hongbo. 2020. Optimal Order Error Estimates of a Modified Nonconforming Rotated Q1 IFEM for Interface Problems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1193689

Modern Language Association (MLA)

Yin, Pei…[et al.]. Optimal Order Error Estimates of a Modified Nonconforming Rotated Q1 IFEM for Interface Problems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1193689

American Medical Association (AMA)

Yin, Pei& Yue, Hongyun& Guan, Hongbo. Optimal Order Error Estimates of a Modified Nonconforming Rotated Q1 IFEM for Interface Problems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1193689

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1193689