Well-Conditioned Iterative Schemes for Mixed Finite-Element Models of Porous-Media Flows

ADAPTIVE GRIDDING TECHNIQES FOR GROUNDWAm CONTAMINANT MODELING (COLLECTION OF PUBLICATIONS)

Mixed finite-element methods are attractive in modeling flows in porous media, since they can yield pressures and velocities having comparable accuracy. In solving the resulting discrete equations, however, poor matrix conditioning can arise both from spatial heterogeneity in the medium and from the fine grids needed to resolve that heterogeneity. This paper presents iterative schemes that over...

H1-Galerkin mixed finite element methods for parabolic partial integro-differential equations

H1-Galerkin mixed finite element methods are analysed for parabolic partial integrodifferential equations which arise in mathematical models of reactive flows in porous media and of materials with memory effects. Depending on the physical quantities of interest, two methods are discussed. Optimal error estimates are derived for both semidiscrete and fully discrete schemes for problems in one sp...

A Numerical Approximation of Nonfickian Flows with Mixing Length Growth in Porous Media

The nonFickian flow of fluid in porous media is complicated by the history effect which characterizes various mixing length growth of the flow, which can be modeled by an integro-differential equation. This paper proposes two mixed finite element methods which are employed to discretize the parabolic integro-differential equation model. An optimal order error estimate is established for one of ...

L1-error Estimates and Superconvergence in Maximum Norm of Mixed Finite Element Methods for Nonfickian Flows in Porous Media

A Composite Finite Difference Scheme for Subsonic Transonic Flows (RESEARCH NOTE).

This paper presents a simple and computationally-efficient algorithm for solving steady two-dimensional subsonic and transonic compressible flow over an airfoil. This work uses an interactive viscous-inviscid solution by incorporating the viscous effects in a thin shear-layer. Boundary-layer approximation reduces the Navier-Stokes equations to a parabolic set of coupled, non-linear partial diff...