Paper Info
Title
A error analysis for transient problems using Enhanced Velocity approach in the discrete-time setting.
Abstract
Time discretization along with space discretization is important in the numerical simulation of subsurface flow applications for long run. In this paper, we derive theoretical convergence error estimates in discrete-time setting for transient problems with the Dirichlet boundary condition. Enhanced Velocity Mixed FEM as domain decomposition method is used in the space discretization and the backward Euler method and the Crank–Nicolson method are considered in the discrete-time setting. Enhanced Velocity scheme was used in the adaptive mesh refinement dealing with heterogeneous porous media [1], [2] for single phase flow and transport and demonstrated as mass conservative and efficient method. Numerical tests validating the backward Euler theory are presented. These error estimates are useful in the determining of time step size and the space discretization size.
Year
DOI
Venue
2019
10.1016/j.cam.2019.05.009
Journal of Computational and Applied Mathematics
Keywords
DocType
Volume
A priori error analysis,Enhanced velocity,Mixed finite element method,Error estimates,Darcy flow
Journal
361
ISSN
Citations 
PageRank 
0377-0427
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Yerlan Amanbek100.68
Mary F. Wheeler2748117.66