Results 41 to 50 of about 400,777 (180)
Mathematics, 2020 In this paper, we prove two general convergence theorems with error estimates that give sufficient conditions to guarantee the local convergence of the Picard iteration in arbitrary normed fields. Thus, we provide a unified approach for investigating the
Stoil I. Ivanov
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A piecewise linear FEM for an optimal control problem of fractional operators: error analysis on curved domains [PDF]
, 2016 We propose and analyze a new discretization technique for a linear-quadratic optimal control problem involving the fractional powers of a symmetric and uniformly elliptic second oder operator; control constraints are considered.
Otarola, Enrique
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A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations
The Scientific World Journal, 2014 A kind of new mixed element method for time-fractional partial differential equations is studied. The Caputo-fractional derivative of time direction is approximated by two-step difference method and the spatial direction is discretized by a new mixed ...
Yang Liu +4 more
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Results in Applied Mathematics, 2023 In this paper, a fully discrete interpolated coefficient characteristic finite element approximation is proposed for optimal control problems governed by time-dependent semilinear convection–diffusion equations, where the hyperbolic part of the state ...
Xiaowu Li, Yuelong Tang
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Advances in Mathematical Physics, 2013 We propose and analyze a new numerical method, called a coupling method based on a new expanded mixed finite element (EMFE) and finite element (FE), for fourth-order partial differential equation of parabolic type.
Yang Liu +4 more
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A priori error estimates for the optimal control of laser surface hardening of steel [PDF]
, 2010 A priori error estimates for the optimal control of laser surface hardening of ...
Amiya K +5 more
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Advances in Mathematical Physics, 2016 For the Steklov eigenvalue problem, we establish a type of multigrid discretizations based on the fixed-shift inverse iteration and study in depth its a priori/a posteriori error estimates.
Feiyan Li, Hai Bi
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On Dual-Weighted Residual Error Estimates for p-Dependent Discretizations [PDF]
, 2011 This report analyzes the behavior of three variants of the dual-weighted residual (DWR) error estimates applied to the p-dependent discretization that results from the BR2 discretization of a second-order PDE. Three error estimates are assessed using two
Darmofal, David L., Yano, Masayuki
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Journal of Inequalities and Applications, 2017 In this paper, a semidiscrete finite element method for solving bilinear parabolic optimal control problems is considered. Firstly, we present a finite element approximation of the model problem.
Yuelong Tang, Yuchun Hua
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Regularization of the fractional Rayleigh–Stokes equation using a fractional Landweber method
Advances in Difference Equations, 2020 In this paper, we consider a time-fractional backward problem for the fractional Rayleigh–Stokes equation in a general bounded domain. We propose a fractional Landweber regularization method for solving this problem.
Nguyen Hoang Luc +3 more
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