Geodesic
Numerical study of a robust control problem for the linearized quasistationary system of the phase field equations
Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 2, pp. 44-58

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The conditional gradient method is used for the numerical study of a robust control problem for the linearized quasistationary system of the phase field equations. The existence of a solution of the control problem is obtained, the method stability and approximation of solutions are proved. For some values of the problem parameters the numerical experiment was carried out.
Keywords: optimal control, system with distributed parameters, robust control problem, degenerate evolution equation, numerical solution, conditional gradient method. 
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     author = {M. V. Plekhanova and G. D. Baybulatova},
     title = {Numerical study of a robust control problem for the linearized quasistationary system of the phase field equations},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {44--58},
     publisher = {mathdoc},
     volume = {1},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_2_a4/}
}
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M. V. Plekhanova; G. D. Baybulatova. Numerical study of a robust control problem for the linearized quasistationary system of the phase field equations. Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 2, pp. 44-58. http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_2_a4/