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…
finite differences (FD)
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…
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…
Numerical methods in establishment of concentration profile for the flows with chemical reactions over rotating disk
AbstractA viscous flow due to a rotating disk involving homogeneous as well as heterogeneous chemical reactions is considered. We simplify…
Publications
Numerical modeling of solidification
Book summarySummary of the book… Book coverContentsCh. 1 Keywordskeyword1, PDFpdf file Referencessee the expanding block below Cite this book as:Author, title, publisher, year. Book TitlePublisherPrint ISBNAuthorsV. Soporan, C. Vamos, C.…
Read More 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 in [Numer. Math. 144, 451–477, 2020] to the convection-dominated regime.…
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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 eqution) 1.3. Some other boundary value problems 1.4. An eigenvalue…
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