Kanapenas, R.; Norvajshas, S.; Petrushkyavichyus, R.; Chegis, R. Numerical solution for the problem of laser heating of metals. (Russian. English summary) Zbl 0657.65135 Differ. Uravn. Primen. 43, 49-67 (1988). Difference schemes for the solution of the problem mentioned in the title are constructed and analyzed. The convergence of the proposed iteration methods is proved, a numerical investigation is carried out. The problem of the interaction between electromagnetic radiation and the diffraction lattice is discussed. Cited in 1 Document MSC: 65Z05 Applications to the sciences 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 65N06 Finite difference methods for boundary value problems involving PDEs 35K05 Heat equation 80A20 Heat and mass transfer, heat flow (MSC2010) 78A40 Waves and radiation in optics and electromagnetic theory 78A45 Diffraction, scattering 78A55 Technical applications of optics and electromagnetic theory Keywords:laser heating of metals; Difference schemes; convergence; iteration methods; electromagnetic radiation; diffraction lattice PDFBibTeX XMLCite \textit{R. Kanapenas} et al., Differ. Uravn. Primen. 43, 49--67 (1988; Zbl 0657.65135)