2020 Archives | Tiberiu Popoviciu Institute of Numerical Analysis

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

Yesterday at 7:41 am

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

Announcement updates: a-recent-publication-in-the-top-journal-advances-in-water-resources-by-a-team-from-ictp

16 Jul at 6:46 am

We are glad to see that the recent publication in the important journal Adv. Water Res., D. Alecsa, I. Boros,…

Solutions with a prescribed interval of positivity for differential systems with nonlocal conditions

2 Jul at 7:50 am

AbstractBased on fixed point index, the paper develops a theory of existence, localization and multiplicity of solutions to first-order differential…

Modifying an approximation process using non-Newtonian calculus

1 Jul at 8:35 am

AbstractIn the present note we modify a linear positive Markov process of discrete type by using so called multiplicative calculus.…

Linear positive operators constructed by using Beta-type bases

1 Jul at 7:45 am

AbstractStarting from a discrete linear approximation process that has the ability to turn polynomials into polynomials of the same degree,…

Announcement: a recent publication in the top journal “Advances in Water Resources”, by a team from ICTP

27 Jun at 2:27 am

We are glad to announce a recent publication in the important journal Advances in Water Resources* by a team from…

Numerical benchmark study for flow in highly heterogeneous aquifers

9 Apr at 2:49 pm

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

30 Jan at 1:48 pm

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

The long time behavior and the rate of convergence of symplectic convex algorithms obtained via splitting discretizations of inertial damping systems

30 Jan at 1:30 pm

AbstractIn this paper we propose new numerical algorithms in the setting of unconstrained optimization problems and we give proof for…

Natural convection from a vertical plate embedded in a non-Darcy bidisperse porous medium

4 Dec 2019

Abstract This paper studies the steady, free convection boundary layer flow about a vertical, isothermal plate embedded in a non-Darcy…

Publications

Numerical modeling of solidification

August 4, 2020

Călin Vamoş

Books

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.…

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

August 3, 2020

Mihai Nechita

(original), (preprint), Finite element (FEM), Numerical Analysis, paper, PDEs

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.…

A Constructive Introduction to Finite Elements Method

August 1, 2020

Călin-Ioan Gheorghiu

Books, Finite element (FEM), PDEs

Book summarySummary of the book… Book coverContents1.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 problem…

Publications

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