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

DOI

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/).

Download article (PDF)

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  - 10.2991/kam-15.2015.35
ID  - Xianzhi2015/06
ER  -