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…
Finite element (FEM)
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,…
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…
FEM and/or BEM for numerical simulation of Marangoni flow
AbstractThe aim of this work is the numerical study of Marangoni effect using three different methods. They are a finite…
Surface mobility of surfactant solutions XVI. Involvement of the fluid viscosities in the Marangoni flow – some aspects
AbstractThe influence of viscosity upon the Marangoni flow (induced by surface tension differences) in competition with the gravity flow, through…
On the use of Green’s formula for the solution of the Navier-Stokes equations
AbstractA general iterative procedure for solving Navier-Stokes system in stream function-vorticity variables is considered. Using the fundamental solution for Laplace…
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…