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C. Bonacina, G. Comini (1973)
On the solution of the nonlinear heat conduction equations by numerical methodsInternational Journal of Heat and Mass Transfer, 16
C. Bonacina, G. Comini, A. Fasano, M. Primicerio (1973)
Numerical solution of phase-change problemsInternational Journal of Heat and Mass Transfer, 16
R. Beckett, S. Chu (1973)
Finite-Element Method Applied to Heat Conduction in Solids with Nonlinear Boundary ConditionsJournal of Heat Transfer-transactions of The Asme, 95
K. Rathjen, L. Jiji (1971)
Heat Conduction With Melting or Freezing in a CornerJournal of Heat Transfer-transactions of The Asme, 93
A. Haki-Sheikh, E. Sparrow (1967)
Solution of heat conduction problems by probability methods
E. Wilson, R. Nickell (1966)
Application of the finite element method to heat conduction analysisNuclear Engineering and Design, 4
M. Lees (1966)
A Linear Three-Level Difference Scheme for Quasilinear Parabolic Equations*Mathematics of Computation, 20
G. Aguirre-Ramirez, J. Oden (1973)
Finite-element technique applied to heat conduction in solids with temperature dependent thermal conductivityInternational Journal for Numerical Methods in Engineering, 7
O. Zienkiewicz, C. Parekh (1970)
Transient field problems: Two‐dimensional and three‐dimensional analysis by isoparametric finite elementsInternational Journal for Numerical Methods in Engineering, 2
H. Budhia, F. Kreith (1973)
Heat transfer with melting or freezing in a wedgeInternational Journal of Heat and Mass Transfer, 16
O. Zienkiewicz (1971)
The Finite Element Method In Engineering Science
A. Lykov (1968)
Analytical heat diffusion theory
Zienkiewicz Zienkiewicz, Cheung Cheung (1965)
Finite elements in the solution of field problemsThe Engineer, 220
The paper presents a generally applicable approach to transient heat conduction problems with non‐linear physical properties and boundary conditions. An unconditionally stable central algorithm is used which does not require iteration. Several examples involving phase change (where latent heat effects are incorporated as heat capacity variations) and non‐linear radiation boundary conditions are given which show very good accuracy. Simple triangular elements are used throughout but the formulation is generally valid and not restricted to any single type of element.
International Journal for Numerical Methods in Engineering – Wiley
Published: Jan 1, 1974
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