On the Extensions Preserving the Shape of a Semi-Hölder Function
AbstractWe present some results concerning the extension of a semi-Hölder real-valued function defined on a subset of a quasi-metric space,…
A mixed iteration for nonnegative matrix factorizations
Abstract We show that, under appropriate conditions, one can create a hybrid between two given iterations which can perform better…
Properties of the solutions of a system of differential equations with maxima, via weakly picard operator theory
AbstractIn this paper we present some properties of the solutions of a system of differential equation with maxima. Existence, uniqueness, inequalities…
Iterates of Bernstein type operators on a square with one curved side via contraction principle
AbstractGiven a function defined on a square with one curved side, we consider some Bernstein-type operators as well as their…
An iterative method for a functional-differential equation of second order with mixed type argument
Abstract In this paper we shall study a functional differential equation of second order with mixed type argument. For this…
Ulam stability for a delay differential equation
AbstractWe study the Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability for a delay differential equation. Some examples are given. AuthorsD. Otrocol (Tiberiu…
Iterates of multivariate Cheney-Sharma operators
AbstractUsing the weakly Picard operators technique, we study the convergence of the iterates of some hivariate and trivariate Cheney-Sharma operators.…
A penalized viscoplastic contact problem with unilateral constraints
AbstractIn this paper we study a mathematical model which describes the quasistatic contact between a viscoplastic body and a foundation.…
On the behaviour of the solution to a viscoplastic contact problem
AbstractThe present paper represents a continuation of [2]. There, a quasistatic contact problem for viscoplastic materials was considered, in which…
Analysis of a history-dependent frictionless contact problem
AbstractWe consider a mathematical model which describes the quasistatic contact between a viscoelastic body and an obstacle, the so-called foundation.…
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 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…
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