WIAS Preprint No. 48, (1993)
Finite element approximation of transport of reactive solutes in porous media. Part I: Error estimates for non-equilibrium adsorption processes.
Authors
- Barrett, John W.
- Knabner, Peter
2010 Mathematics Subject Classification
- 65M15 65M60 35K65 35R35 35K55 76S05
Keywords
- Finite element approximation, error estimates, degenerate parabolic equation, energy norm estimates, flow in porous media
DOI
Abstract
In this paper we analyse a fully practical piecewise linear finite element approximation; involving regularization, numerical integration and backward Euler time discretisation; of the following degenerate parabolic system arising in a model of reactive solute transport in porous media: Find {u(x,t),v(x,t)} such that
∂tu + ∂tv - Δu = f in Ω x (0,T] u=0 on ∂ Ω x (0,T]
∂tv = k (φ(u)-v) in Ω x (0,T]
u(•,0) = g1 (•) v(•,0) = g 2 (•) in Ω ⊂ ℝd, 1 ≤ d ≤ 3
Download Documents