Numerical Analysis of A Mixed Finite Element Method for Rosenau-Burgers Equation

DOI

10.2991/iiicec-15.2015.139How to use a DOI?

Keywords

Rosenau-Burgers equation; H1MFEM; Optimal a priori error estimates.

Abstract

An H1-Galerkin mixed finite element method (H1MFEM) is proposed and analyzed for the fourth-order nonlinear Rosenau-Burgers equation. By introducing three auxiliary variables, the first-order system of four equations is formulated. The fully discrete scheme is studied for problem and optimal a priori error estimates for L2 and H1-norms for the scalar unknown, first derivative, second derivative and third derivative are obtained simultaneously.

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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TY  - CONF
AU  - Jinfeng Wang
PY  - 2015/03
DA  - 2015/03
TI  - Numerical Analysis of A Mixed Finite Element Method for Rosenau-Burgers Equation
BT  - Proceedings of the 2015 International Industrial Informatics and Computer Engineering Conference
PB  - Atlantis Press
SP  - 610
EP  - 614
SN  - 2352-538X
UR  - https://doi.org/10.2991/iiicec-15.2015.139
DO  - 10.2991/iiicec-15.2015.139
ID  - Wang2015/03
ER  -