A hybrid finite element‐finite difference method for thermal analysis in X‐ray lithography

DOI10.1108/09615539910276160zbMath0953.80002OpenAlexW2078121970MaRDI QIDQ4952969

Weizhong Dai, R. F. Nassar

Publication date: 29 January 2001

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615539910276160

zbMATH Keywords

temperature profilethin layersblock tridiagonal linear systemsparallel Gaussian eliminationthree-dimensional parabolic equationsdomain decomposition algorithmthree-dimensional numerical method\(X\)-ray irradiation process\(X\)-ray lithographyhybrid finite element-finite difference scheme

Mathematics Subject Classification ID

Technical applications of optics and electromagnetic theory (78A55) Thermodynamics and heat transfer (80A99) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (4)

Mathematical model and computer simulation of three dimensional thin film elliptic interface problems ⋮ Hybrid asymptotic-numerical modeling of thin layers for dynamic thermal analysis of structures ⋮ A finite difference scheme for solving a three-dimensional heat transport equation in a thin film with microscale thickness ⋮ An unconditionally stable finite difference scheme for solving a 3D heat transport equation in a sub-microscale thin film

Cites Work

• A three‐dimensional numerical method for thermal analysis in X‐ray lithography

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