DISCRETIZATION OF AN UNSTEADY FLOW THROUGH A POROUS SOLID MODELED BY DARCY'S EQUATIONS Academic Article uri icon

abstract

  • The system of unsteady Darcy's equations considered here models the time-dependent flow of an incompressible fluid such as water in a rigid porous medium. We propose a discretization of this problem that relies on a backward Euler's scheme for the time variable and finite elements for the space variables. We prove a priori error estimates that justify the optimal convergence properties of the discretization and a posteriori error estimates that allow for an efficient adaptivity strategy both for the time steps and the meshes.

published proceedings

  • MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

author list (cited authors)

  • Bernardi, C., Girault, V., & Rajagopal, K. R.

citation count

  • 12

complete list of authors

  • Bernardi, Christine||Girault, Vivette||Rajagopal, Kumbakonam R

publication date

  • December 2008