Global random walk simulations for sensitivity and uncertainty analysis of passive transport models
AbstractThe Global Random Walk algorithm (GRW) performs a simultaneous tracking on a fixed grid of huge numbers of particles at…
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Accuracy of numerical simulations of contaminant transport in heterogeneous aquifers: A comparative study
AbstractThis work deals with a comparison of different numerical schemes for the simulation of contaminant transport in heterogeneous porous media.…
A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity
AbstractWe investigate a prototypical reaction–diffusion-flow problem in saturated/unsaturated porous media. The special features of our problem are twofold: the reaction produces…
A coupled finite element–global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity
AbstractSolute transport through heterogeneous porous media considered in environmental and industrial problems is often characterized by high Péclet numbers. In…
Solute transport in aquifers with evolving scale heterogeneity
AbstractTransport processes in groundwater systems with spatially heterogeneous properties often exhibit anomalous behavior. Using first-order approximations in velocity fluctuations we…
Consistency issues in PDF methods
AbstractConcentrations of chemical species transported in random environments need to be statistically characterized by probability density functions (PDF). Solutions to evolution equations…
A Fokker-Planck approach for probability distributions of species concentrations transported in heterogeneous media
AbstractWe identify sufficient conditions under which evolution equations for probability density functions (PDF) of random concentrations are equivalent to Fokker–Planck…
On a compound approximation operator of D.D. Stancu type
AbstractIn this note we consider a linear and positive compound approximation operator of D.D. Stancu type depending of several parameters.…
Rate of approximation for certain Durrmeyer operators
AbstractIn the present note, we study a certain Durrmeyer type integral modification of Bernstein polynomials. We investigate simultaneous approximation and…
Order 1 autoregressive process of finite length
AbstractThe stochastic processes of finite length defined by recurrence relations request additional relations specifying the first terms of the process analogously to…