Finite element approximation of optimal control problems governed by time fractional diffusion equation
type: Item
instance of: scholarly article
title: Finite element approximation of optimal control problems governed by time fractional diffusion equation
zbMATH Open document ID: 1443.65235
author: Z. J. Zhou
author: W. Gong
publication date: 2020-10-11T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 7258756
zbMATH Keywords: Galerkin finite element method
zbMATH Keywords: optimal control problems
zbMATH Keywords: time fractional diffusion equations
zbMATH Keywords: a priori error estimate
zbMATH Keywords: variational discretization
MaRDI profile type: Publication
full work available at URL: j.camwa.2015.11.014
OpenAlex ID: W2191632485
cites work: Recent applications of fractional calculus to science and engineering
cites work: The accuracy and stability of an implicit solution method for the fractional diffusion equation
cites work: Q5708108
cites work: Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
cites work: New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
cites work: Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion
cites work: Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
cites work: Variational formulation for the stationary fractional advection dispersion equation
cites work: Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
cites work: Finite difference/spectral approximations for the time-fractional diffusion equation
cites work: A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
cites work: The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
cites work: Optimal control of fractional diffusion equation
cites work: Optimal control of a fractional diffusion equation with state constraints
cites work: Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem
cites work: Q4233638
cites work: Q4360234
cites work: REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
cites work: Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
cites work: Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations
cites work: A variational discretization concept in control constrained optimization: The linear-quadratic case
cites work: Finite difference/spectral approximations for the fractional cable equation
cites work: Generalized Taylor's formula
DOI: 10.1016/J.CAMWA.2015.11.014
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7258756