Results 21 to 30 of about 50,984 (262)
Boundary Value Problems, 2010 We applied the variational iteration method and the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems. The main advantage of these methods is the flexibility to give approximate and exact solutions to both ...
R. Darzi, A. Neamaty
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Finite Volume Element Approximation for the Elliptic Equation with Distributed Control
International Journal of Differential Equations, 2018 In this paper, we consider a priori error estimates for the finite volume element schemes of optimal control problems, which are governed by linear elliptic partial differential equation.
Quanxiang Wang +2 more
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Journal of Inequalities and Applications, 2019 In this paper, we investigate a variational discretization approximation of parabolic bilinear optimal control problems with control constraints. For the state and co-state variables, triangular linear finite element and difference methods are used for ...
Yuelong Tang, Yuchun Hua
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Numerical Solution of the Inverse Problem of Determining an Unknown Source Term in a Heat Equation
Journal of Applied Mathematics, 2012 This paper investigates the inverse problem of determining a heat source in the parabolic heat equation using the usual conditions. Firstly, the problem is reduced to an equivalent problem which is easy to handle using variational iteration method ...
Xiuming Li, Suping Qian
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, 2020 Tseng's forward-backward-forward algorithm is a valuable alternative for Korpelevich's extragradient method when solving variational inequalities over a convex and closed set governed by monotone and Lipschitz continuous operators, as it requires in ...
Bot, Radu Ioan +2 more
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Solving variational inequalities defined on a domain with infinitely many linear constraints [PDF]
, 2007 We study a variational inequality problem whose domain is defined by infinitely many linear inequalities. A discretization method and an analytic center based inexact cutting plane method are proposed.
A.F. Veinott +31 more
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Discrete variational Hamiltonian mechanics [PDF]
Journal of Physics A: Mathematical and General, 2006 The main contribution of this paper is to present a canonical choice of a Hamiltonian theory corresponding to the theory of discrete Lagrangian mechanics. We make use of Lagrange duality and follow a path parallel to that used for construction of the Pontryagin principle in optimal control theory.
S Lall, M West
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Convergence of a cell-centered finite volume discretization for linear elasticity [PDF]
, 2015 We show convergence of a cell-centered finite volume discretization for linear elasticity. The discretization, termed the MPSA method, was recently proposed in the context of geological applications, where cell-centered variables are often preferred. Our
Nordbotten, Jan Martin
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Spectral discretizations of the Darcy's equations with non standard boundary conditions
ACI Avances en Ciencias e Ingenierías, 2018 This paper is devoted to the approximation of a nonstandard Darcy problem, which modelizes the flow in porous media, by spectral methods: the pressure is assigned on a part of the boundary.
Bernard Jean-Marie
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On the implementation of a primal-dual algorithm for second order time-dependent Mean Field Games with local couplings [PDF]
ESAIM: Proceedings and Surveys, 2019 We study a numerical approximation of a time-dependent Mean Field Game (MFG) system with local couplings. The discretization we consider stems from a variational approach described in [14] for the stationary problem and leads to the finite difference ...
Briceño-Arias L. +5 more
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