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…
Finite element (FEM)
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…
Publications
Spectral collocation solutions to second order singular Sturm-Liouville eigenproblems
AbstractWe comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the eigenpairs of second order singular Sturm-Liouville problems with separated self-adjoint…
Read More Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations
AbstractWe are concerned with the study of some classical spectral collocation methods as well as with the new software system Chebfun in computing high order eigenpairs of singular and regular…
Read More Accurate spectral collocation solutions to some Bratu’s type Boundary Value Problems
AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems are formulated on the square domain [−1, 1] × [−1,…
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