Proceedings of the 5th International Symposium on Knowledge Acquisition and Modeling

A Low Order Nonconforming Mixed Finite Element Scheme for Nonlinear Integro differential Equations of Pseudo-hyperbolic Type

Authors
Li Xianzhi, Zhang Kaiguang, Meng Hongling
Corresponding Author
Li Xianzhi
Available Online June 2015.
DOI
https://doi.org/10.2991/kam-15.2015.35How to use a DOI?
Keywords
nonlinear pseudo-hyperbolic integro-differential equation; triangular nonconforming finite element; new mixed finite element scheme; optimal error estimate.
Abstract

In this paper, a low order triangular nonconforming mixed finite element scheme was studied for the nonlinear integro-differential equations of pseudo-hyperbolic type. By utilizing the properties of the interpolation, mean-value and derivative delivery techniques, the corresponding convergence analysis, the optimal error estimates of the original variable in -norm and intermediate variable in -norm are obtained.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 5th International Symposium on Knowledge Acquisition and Modeling
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-87-5
ISSN
1951-6851
DOI
https://doi.org/10.2991/kam-15.2015.35How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Li Xianzhi
AU  - Zhang Kaiguang
AU  - Meng Hongling
PY  - 2015/06
DA  - 2015/06
TI  - A Low Order Nonconforming Mixed Finite Element Scheme for Nonlinear Integro differential Equations of Pseudo-hyperbolic Type
BT  - Proceedings of the 5th International Symposium on Knowledge Acquisition and Modeling
PB  - Atlantis Press
SP  - 125
EP  - 127
SN  - 1951-6851
UR  - https://doi.org/10.2991/kam-15.2015.35
DO  - https://doi.org/10.2991/kam-15.2015.35
ID  - Xianzhi2015/06
ER  -