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A numerical solution of composite heat transfer problems using meshless method. (English) Zbl 1050.80006
This paper is devoted to the numerical study of solutions to some classes of composite heat transfer problems. The approach is essentially based on the meshless element free Galerkin method. The steady state and transient analysis of the composite problems are carried out in three-dimensional domains. The discretization of the governing equations relies upon adequate variational methods. The numerical results obtained in the present paper can be extended to complex three-dimensional problems.

MSC:
80M25 Other numerical methods (thermodynamics) (MSC2010)
49M15 Newton-type methods
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
80M30 Variational methods applied to problems in thermodynamics and heat transfer
80A20 Heat and mass transfer, heat flow (MSC2010)
Software:
Matlab
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