Geodesic
A method for refining the numerical solution to the problem of optimizing the kinematic scheme for forming panels
Numerical methods and programming, Tome 25 (2024) no. 2, pp. 238-245

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When solving optimal control problems of the solids deformation according to the general scheme of the dynamic programming method, significant computing resources are required. To reduce the calculation time, it is proposed to refine the rough solution obtained using the dynamic programming scheme using the wandering tube method. Using the software implementation of this algorithm, numerical solutions for the optimal bending of the plate in creep mode were obtained, which were compared with analytical data.
Keywords: creep, shaping, damage, finite element method, optimal control problem, dynamic programming method. 
@article{VMP_2024_25_2_a7,
     author = {K. S. Bormotin},
     title = {A method for refining the numerical solution to the problem of optimizing the kinematic scheme for forming panels},
     journal = {Numerical methods and programming},
     pages = {238--245},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2024_25_2_a7/}
}
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K. S. Bormotin. A method for refining the numerical solution to the problem of optimizing the kinematic scheme for forming panels. Numerical methods and programming, Tome 25 (2024) no. 2, pp. 238-245. http://geodesic.mathdoc.fr/item/VMP_2024_25_2_a7/