A theory of a posteriori error estimation for initial-value problems for nonlinear systems of partial differential equations is presented. The theoretical conclusions are applied to a specific problem arising in the theory of flows in porous media. The paper is finished by an instructive numerical e
Adaptivity in the finite volume discretization of variable density flows in porous media
β Scribed by P. Knabner; Ch. Tapp; K. Thiele
- Book ID
- 114402449
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 689 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1464-1909
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π SIMILAR VOLUMES
In this article, we study finite volume element approximations for two-dimensional parabolic integrodifferential equations, arising in the modeling of nonlocal reactive flows in porous media. These types of flows are also called NonFickian flows and exhibit mixing length growth. For simplicity, we c
## Abstract A new discreteβfracture multiphase flow model developed allows incorporation of fractures in a spatially explicit fashion. It is an alternative to conventional dualβporosity, dualβpermeability models used most often to model fractured subsurface systems. The model was applied to a water