Estimate of the rate of convergence of the method of lines in the problem of optimal heating of a rod

zbMath0611.73092MaRDI QIDQ1087384

M. M. Potapov, S. G. Labuzov

Publication date: 1985

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

zbMATH Keywords

strong convergenceparabolic optimal control problemconsistent semi- (time-) discrete approximationinitial, boundary-value problemoptimal heating of a rodregularization method of \textit{A. N. Tikhonov} and \textit{V. Ya. Arsenin}

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thermodynamics in solid mechanics (74A15) Optimization problems in solid mechanics (74P99) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Method of lines for boundary value problems involving PDEs (65N40)

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