Geodesic
On three dimensional nonlinear problem of lazer metal processing and optimal scanning trajectory
Matematičeskoe modelirovanie, Tome 5 (1993) no. 3, pp. 110-119.

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In this paper heat spreading in a metal, while laser beam scanning along different trajectories is investigated. A mathematical statement ot the problem, a numerical method of its sobving and computational experiment results are represented. Hie obtained results permit to clarify a qualitative picture of heat distribution on a surface as well as inside a metal and thus to choose scanning trajectory. 
@article{MM_1993_5_3_a6,
     author = {H. Karabelli},
     title = {On three dimensional nonlinear problem of lazer metal processing and optimal scanning trajectory},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {110--119},
     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1993_5_3_a6/}
}
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H. Karabelli. On three dimensional nonlinear problem of lazer metal processing and optimal scanning trajectory. Matematičeskoe modelirovanie, Tome 5 (1993) no. 3, pp. 110-119. http://geodesic.mathdoc.fr/item/MM_1993_5_3_a6/