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

AbstractWe consider the numerical approximation of the ill-posed data assimilation problem for stationary convection–diffusion equations and extend our previous analysis…

## A Constructive Introduction to Finite Elements Method

Book summarySummary of the book… Book coverKeywordskeyword1, Contents1.Variational formulations 1.1. A 1D model problem 1.2. A 2D model problem (lapace…

## Finite Element Method and Applications

Book summarySummary of the book… Book cover Contents clickableIntroduction by Acad. Caius Iacob Foreword Functional Analysis Itinerary 1.1. Vector spaces.…

## 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,…

## 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…