Abstract
The paper is concerned with the unconditional stability and error estimates of fully discrete Galerkin-Galerkin FEMs for the equations of incompressible miscible flows in porous media. We prove that the optimal L2error estimates hold without any time-step (convergence) conditions, while all previous works require certain time-step restrictions. Theoretical analysis is based on a splitting of the error into two parts: the error from the time discretization of the PDEs and the error from the finite element discretization of the corresponding time-discrete PDEs, which was proposed in our previous work [26, 27]. Numerical results for both two and three-dimensional flow models are presented to confirm our theoretical analysis.
Original language | English |
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Pages (from-to) | 1141-1158 |
Number of pages | 18 |
Journal | Communications in Computational Physics |
Volume | 15 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Apr 2014 |
Externally published | Yes |
Keywords
- Galerkin FEMs
- Incompressible miscible flows
- Optimal error estimate
- Unconditional stability
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)