Results 1 to 10 of about 50,835 (121)

Comparative analysis of new approximate analytical method and Mohand variational transform method for the solution of wave-like equations with variable coefficients

open access: yesResults in Physics, 2023
In a current article, two novel analytical approaches are compared for analytical analysis of wave like equations with variable coefficients, which describe the evolution of stochastic phenomena.
Hijaz Ahmad   +5 more
doaj   +1 more source

Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions

open access: yesAdvances in Nonlinear Analysis, 2022
In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure.
Abdelwahed Mohamed, Chorfi Nejmeddine
doaj   +1 more source

Error estimates of mixed finite elements combined with Crank-Nicolson scheme for parabolic control problems

open access: yesAIMS Mathematics, 2023
In this paper, a mixed finite element method combined with Crank-Nicolson scheme approximation of parabolic optimal control problems with control constraint is investigated.
Yuelong Tang
doaj   +1 more source

Adaptive variational discretization approximation method for parabolic optimal control problems

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we study variational discretization method for parabolic optimization problems. Firstly, we obtain some convergence and superconvergence analysis results of the approximation scheme.
Yuelong Tang, Yuchun Hua
doaj   +1 more source

Uniform Convergence of Schwarz Method for Elliptic Quasi-Variational Inequalities Related to Impulse Control Problem [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2010
In this paper we provide a uniform convergence using an overlapping Schwarz method on nonmatching grids for quasi-variational inequalities related to impulse control problem.
Mohamed Haiour, Salah Boulaaras
doaj   +1 more source

Resolution and implementation of the nonstationary vorticity velocity pressure formulation of the Navier–Stokes equations

open access: yesBoundary Value Problems, 2020
This paper deals with the iterative algorithm and the implementation of the spectral discretization of time-dependent Navier–Stokes equations in dimensions two and three.
Mohamed Abdelwahed   +3 more
doaj   +1 more source

Regularization and Iterative Methods for Monotone Variational Inequalities

open access: yesFixed Point Theory and Applications, 2010
We provide a general regularization method for monotone variational inequalities, where the regularizer is a Lipschitz continuous and strongly monotone operator. We also introduce an iterative method as discretization of the regularization method.
Xiubin Xu, Hong-Kun Xu
doaj   +2 more sources

Contact variational integrators [PDF]

open access: yes, 2019
We present geometric numerical integrators for contact flows that stem from a discretization of Herglotz' variational principle. First we show that the resulting discrete map is a contact transformation and that any contact map can be derived from a ...
Bravetti, Alessandro   +2 more
core   +3 more sources

Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations [PDF]

open access: yes, 1993
A new and detailed analysis of the basic Uzawa algorithm for decoupling of the pressure and the velocity in the steady and unsteady Stokes operator is presented.
Maday, Yvon   +3 more
core   +1 more source

Error estimates in $ L^2 $ and $ L^\infty $ norms of finite volume method for the bilinear elliptic optimal control problem

open access: yesAIMS Mathematics, 2021
This paper discusses some a priori error estimates of bilinear elliptic optimal control problems based on the finite volume element approximation. A case-based numerical example serves to discuss with optimal $ L^2 $-norm error estimates and $ L^{\infty}
Zuliang Lu   +5 more
doaj   +1 more source

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