On the convergence of the conditional gradient method as applied to the optimization of an elliptic equation
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Publication:2354436
DOI10.1134/S0965542515020062zbMath1318.49055OpenAlexW2039300911MaRDI QIDQ2354436
Publication date: 13 July 2015
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542515020062
optimal controlsolution estimateconditional gradient methodtotal preservation of solvabilitysolution uniquenesssemilinear elliptic diffusion-reaction equations
Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear elliptic equations (35J61)
Cites Work
- On a generalization of the method of monotone operators
- A majorant criterion for the total preservation of global solvability of controlled functional operator equation
- Optimal control: nonlocal conditions, computational methods, and the variational principle of maximum
- Modification of gradient type methods in optimal control problems
- A majorant-minorant criterion for the total preservation of global solvability of a functional operator equation
- Method of decomposition of a function of an operator in certain problems of optimal control
- Difference approximations of optimization problems for semilinear elliptic equations in a convex domain with controls in the coefficients multiplying the highest derivatives
- On the convergence of the conditional gradient method in distributed optimization problems
- The features of gradient methods for distributed optimal-control problems
- Parametric dual regularization for an optimal control problem with pointwise state constraints
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