A new formulation of the equivalent thermal in optimization of hydrothermal systems.
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Bayón, L., Grau, J.M., Suárez, P. (2002)
Mathematical Problems in Engineering
Rajae Aboulaïch, Ilham Haggouch, Ali Souissi (2001)
International Journal of Applied Mathematics and Computer Science
A two-dimensional Stefan problem is usually introduced as a model of solidification, melting or sublimation phenomena. The two-phase Stefan problem has been studied as a direct problem, where the free boundary separating the two regions is eliminated using a variational inequality (Baiocchi, 1977; Baiocchi et al., 1973; Rodrigues, 1980; Saguez, 1980; Srunk and Friedman, 1994), the enthalpy function (Ciavaldini, 1972; Lions, 1969; Nochetto et al., 1991; Saguez, 1980), or a control problem (El Bagdouri,...
Robert J. McCann, Marjolaine Puel (2009)
Annales de l'I.H.P. Analyse non linéaire
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
Boukas, Andreas (2005)
Applied Mathematics E-Notes [electronic only]
Jaroslav Mlýnek, Roman Knobloch (2018)
Applications of Mathematics
This article focuses on heat radiation intensity optimization on the surface of a shell metal mould. Such moulds are used in the automotive industry in the artificial leather production (the artificial leather is used, e.g., on car dashboards). The mould is heated by infrared heaters. After the required temperature is attained, the inner mould surface is sprinkled with special PVC powder. The powder melts and after cooling down it forms the artificial leather. A homogeneous temperature field of...
Talya, Shashishekara S., Rajadas, J.N., Chattopadhyay, A. (1999)
Mathematical Problems in Engineering
Dautov, R., Kadyrov, R., Laitinen, E., Lapin, A., Pieskä, J., Toivonen, V. (2003)
Lobachevskii Journal of Mathematics
Jiří Vala, Petra Jarošová (2018)
Applications of Mathematics
Advanced building design is a rather new interdisciplinary research branch, combining knowledge from physics, engineering, art and social science; its support from both theoretical and computational mathematics is needed. This paper shows an example of such collaboration, introducing a model problem of optimal heating in a low-energy house. Since all particular function values, needed for optimization are obtained as numerical solutions of an initial and boundary value problem for a sparse system...
Salač, Petr (2013)
Programs and Algorithms of Numerical Mathematics
In the contribution we present a problem of shape optimization of the cooling cavity of a plunger that is used in the forming process in the glass in dustry. A rotationally symmetric system of the mould, the glass piece, the plunger and the plunger cavity is considered. The state problem is given as a stationary heat conduction process. The system includes a heat source representing the glass piece that is cooled from inside by water flowing through the plunger cavity and from outside by the environment surrounding...
Charalabos C. Doumanidis (1999)
Kybernetika
This article addresses the problem of distributed-parameter control for a class of infinite-dimensional manufacturing processes with scanned thermal actuation, such as scan welding. This new process is implemented on a robotic GTAW laboratory setup with infrared pyrometry, and simulated by a flexible numerical computation program. An analytical linearized model, based on convolution of Green’s fields, is expressed in multivariable state-space form, with its time-variant parameters identified in-process....
Christian Meyer (2007)
ESAIM: Control, Optimisation and Calculus of Variations
We consider a control constrained optimal control problem governed by a semilinear elliptic equation with nonlocal interface conditions. These conditions occur during the modeling of diffuse-gray conductive-radiative heat transfer. After stating first-order necessary conditions, second-order sufficient conditions are derived that account for strongly active sets. These conditions ensure local optimality in an Ls-neighborhood of a reference function whereby the underlying analysis allows...
Kadyrov, R. F., Laitinen, E., Lapin, A. V. (2003)
Lobachevskii Journal of Mathematics
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