Crank-Nicolson Galerkin Model for nonlinearly Coupled Macrophase and Microphase Transport in the Subsurface

2009 ◽  
Vol 12 (9) ◽  
pp. 835-845 ◽  
Author(s):  
Amena M. Mayenna ◽  
Md. Akram Hossain
Keyword(s):  
Optik ◽  
2021 ◽  
pp. 166941
Author(s):  
Peiyu Wu ◽  
Yongjun Xie ◽  
Haolin Jiang ◽  
Di HanYi ◽  
Toshiaki Natsuki

2014 ◽  
Vol 513-517 ◽  
pp. 1919-1926 ◽  
Author(s):  
Min Zhang ◽  
Zu Deng Yu ◽  
Yang Liu ◽  
Hong Li

In this article, the numerical scheme of a linearized Crank-Nicolson (C-N) method based on H1-Galerkin mixed finite element method (H1-GMFEM) is studied and analyzed for nonlinear coupled BBM equations. In this method, the spatial direction is approximated by an H1-GMFEM and the time direction is discretized by a linearized Crank-Nicolson method. Some optimal a priori error results are derived for four important variables. For conforming the theoretical analysis, a numerical test is presented.


2013 ◽  
Vol 74 (1) ◽  
pp. 34-58
Author(s):  
F. Boyer ◽  
F. Dardalhon ◽  
C. Lapuerta ◽  
J.-C. Latché

2015 ◽  
Vol 51 (3) ◽  
pp. 1-4 ◽  
Author(s):  
Dimitra A. Ketzaki ◽  
Ioannis T. Rekanos ◽  
Theodoros I. Kosmanis ◽  
Traianos V. Yioultsis

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