## Numerical benchmark study for flow in highly heterogeneous aquifers

AbstractThis article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in…

## Benchmark for numerical solutions of flow in heterogeneous groundwater formations

AbstractThis article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in…

## A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime

AbstractThe numerical approximation of an inverse problem subject to the convection–diffusion equation when diffusion dominates is studied. We derive Carleman…

## Unique continuation for the Helmholtz equation using stabilized finite element methods

AbstractIn this work we consider the computational approximation of a unique continuation problem for the Helmholtz equation using a stabilized finite element…

## Surface mobility of surfactant solutions. XI Numerical analysis for the Marangoni and the gravity flow in a thin liquid layer of triangular section

AbstractThe numerical calculation method of the “simplex” finite elemente is applied to the Marangoni flow undergone by the surfactant solutions,…

## Surface mobility of surfactant solutions XII. Remarks concerning the Marangoni flow through an inclined surface canal

AbstractThe Marangoni flow of an incompressible viscous fluid through an inclined canal having triangular section and a free liquid/gas surface…

## A Chebyshev-Galerkin method for fourth order problems

AbstractWe study the linear stability of some Marangoni flows (thin films) on an inclined plane. The Orr-Sommerfeld eigenproblem contains two…

## Marangoni flow -induced by temperature gradients- against gravity forces

AbstractIn the present work a comparison in made between the authors’ experimental and numerically calculated data obtained in studying the…

## Some remarks concerning the Marangoni flow on an inclined plane

AbstractWe consider a thin liquid layer of a transverse triangular section, situated on an inclined solid plane. On the liquid-gas…

## On the behavior of a thin liquid layer flowing due to gravity and a surface tension gradient

AbstractA thin liquid layer flowing due to gravity and a surface tension gradient is taken into account. On the liquid/gas…