Application of meshless element free Galerkin method in two-dimensional heat conduction problems

• Autorzy: Singh I. V. , Sandeep K. , Prakash R.
• Języki publikacji: EN

Abstrakty

EN

In this paper, meshless element free Galerkin method has been used to obtain the numerical solution of transient and steady state heat conduction problems in two-dimensional domains. The unknown function of temperature T(x) has been approximated by moving least square approximant Th(x). These approximants are constructed by using a weight function, a polynomial basis and a set of non-constant coefficients. Variational method is used to obtain the discrete equations. Essential boundary conditions are imposed by Lagrange multiplier technique. Two new weight functions namely hyperbolic and rational have been proposed. The results have been obtained for a two-dimensional model problem using different EFG weight functions and are compared with those obtained by finite element and analytical methods.

Słowa kluczowe

EN

Galerkin method; heat conduction; meshless method

PL

metoda Galerkina; przewodność cieplna

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2004
• Tom: Vol. 11, No. 4
• Strony: 265--274
• Opis fizyczny: Bibliogr. 29 poz., wykr., tab.

Twórcy

autor

Singh I. V.

• Birla Institute of Technology and Science, Mechanical Engineering Group, Pilani, 333031, Rajasthan, India

autor

Sandeep K.

• Birla Institute of Technology and Science, Mechanical Engineering Group, Pilani, 333031, Rajasthan, India

autor

Prakash R.

• Birla Institute of Technology and Science, Mechanical Engineering Group, Pilani, 333031, Rajasthan, India

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