Finite-element methods for analysis of the dynamics and control of Czochralski crystal growth

DOI10.1007/BF01061294zbMath0666.65086OpenAlexW2002880167MaRDI QIDQ1116678

S. H. Smith

Publication date: 1987

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01061294

zbMATH Keywords

moving-boundary problemdiffuse-gray radiationFinite-elementNewton's iterationsthermal capillary modelthermal-capillary mode for Czochralski crystal growth

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items (9)

Finite element methods for unsteady solidification problems arising in prediction of morphological structure ⋮ Backstepping output-feedback control of moving boundary parabolic PDEs ⋮ Finite-element methods for analysis of the dynamics and control of Czochralski crystal growth ⋮ The stability and stabilization of heat equation in non-cylindrical domain ⋮ PDE backstepping control of one-dimensional heat equation with time-varying domain ⋮ Sharp interface numerical simulation of directional solidification of binary alloy in the presence of a ceramic particle ⋮ An assessment of a parallel, finite element method for three-dimensional, moving-boundary flows driven by capillarity for simulation of viscous sintering ⋮ Stability of degenerate heat equation in non-cylindrical/cylindrical domain ⋮ Control of parabolic PDEs with time-varying spatial domain: Czochralski crystal growth process

Cites Work

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