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Bialecki, Ryszard; Nowak, Andrzej Jozef

Boundary value problems in heat conduction with nonlinear material and nonlinear boundary conditions. (English) Zbl 0475.65078

Appl. Math. Modelling 5, 417-421 (1981).
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Cited in 38 Documents

MSC:

65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
65Z05 Applications to the sciences
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35C15 Integral representations of solutions to PDEs

Keywords:

temperature dependent heat transfer coefficient; radiation; nonlinear heat conduction equation; Laplace’s equation; numerical examples; boundary element method; boundary integral equation method
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\textit{R. Bialecki} and \textit{A. J. Nowak}, Appl. Math. Modelling 5, 417--421 (1981; Zbl 0475.65078)
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References:

[1] Brebbia, C. A.; Walker, S., Boundary element techniques in engineering (1980), Newnes-Butterworths: Newnes-Butterworths Tampa, Florida, USA · Zbl 0444.73065
[2] (Banerjee, P. K.; Butterfield, R., Developments in boundary element methods, 1 (1979), Applied Science: Applied Science London) · Zbl 0446.00012
[3] Ozisik, M. N., Boundary value problem of heat conduction (1968), International Textbook: International Textbook London
[4] Akkuratov, Yu. N.; Mikhailov, V. N., Z. Vycisl. Mat. i Mat. Fiz., 20, 3, 656 (1980), (in Russian)
[5] Bialecki, R.; Nowak, A. J., Boundary element method for nonlinear material problems, (Proc. 20th PTMTS Symp. Modelling Mech.. Proc. 20th PTMTS Symp. Modelling Mech., Wisla, March (1981)), (in Polish) · Zbl 0843.76053
[6] Zienkiewicz, O. C., The finite element method (1977), McGraw-Hill: McGraw-Hill Scranton · Zbl 0435.73072
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.