The Finite Element Method of High Degree of Accuracy for Boundary Value Problem with Singularity
Mathematics, 2023 Mathematical models of fracture physics and mechanics are boundary value problems for differential equations and systems of equations with a singularity.
Viktor A. Rukavishnikov +1 more
doaj +1 more source
On the convergence of the implicit iterative line-by-line recurrence method for solving difference elliptical equations [PDF]
Компьютерные исследования и моделирование, 2017 In the article a theory of the implicit iterative line-by-line recurrence method for solving the systems of finite-difference equations which arise as a result of approximation of the two-dimensional elliptic differential equations on a regular grid is ...
Alexander Arkad'evich Fomin +1 more
doaj +1 more source
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-dGFEM [PDF]
, 2013 We study the approximation of harmonic functions by means of harmonic polynomials in two-dimensional, bounded, star-shaped domains. Assuming that the functions possess analytic extensions to a delta-neighbourhood of the domain, we prove exponential ...
Hiptmair, Ralf +3 more
core +1 more source
Orthogonal series approximation for boundary layers [PDF]
Theoretical and Applied Mechanics, 2004 In this paper we shall consider a class of singularly perturbed problems described by the ordinary differential equation of second order with small parameter multiplying the highest derivative and the appropriate boundary conditions, which describes ...
Adžić Nevenka, Ovcin Z.
doaj +1 more source
An error analysis for polynomial optimization over the simplex based on the multivariate hypergeometric distribution [PDF]
, 2014 We study the minimization of fixed-degree polynomials over the simplex. This problem is well-known to be NP-hard, as it contains the maximum stable set problem in graph theory as a special case.
de Klerk, Etienne +2 more
core +4 more sources
The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators
Journal of Inequalities and Applications, 2017 In this paper, we introduce a bivariate Kantorovich variant of combination of Szász and Chlodowsky operators based on Charlier polynomials. Then, we study local approximation properties for these operators.
Purshottam Narain Agrawal +2 more
doaj +1 more source
Characteristics of earthquake ruptures and dynamic off-fault deformation on propagating faults [PDF]
Solid Earth, 2020 Natural fault networks are geometrically complex systems that evolve through time. The evolution of faults and their off-fault damage patterns are influenced by both dynamic earthquake ruptures and aseismic deformation in the interseismic period.
S. Preuss +3 more
doaj +1 more source
Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials
Journal of Inequalities and Applications, 2017 The present paper deals with the approximation properties of the univariate operators which are the generalization of the Kantorovich-Szász type operators involving Brenke type polynomials.
Tarul Garg +2 more
doaj +1 more source
Case Studies in Thermal Engineering, 2022 The current study addresses the features of entropy generation and thermal flows regarding magnetized hybrid nanofluid in the presence of a cylinder in a closed hexagonal domain.
Afraz Hussain Majeed +5 more
doaj +1 more source
Precoder Design for Physical Layer Multicasting [PDF]
, 2012 This paper studies the instantaneous rate maximization and the weighted sum delay minimization problems over a K-user multicast channel, where multiple antennas are available at the transmitter as well as at all the receivers.
Prasad, Narayan +2 more
core +1 more source