G. P. Nikishkov

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I NTRODUCTION TO THE F INITE. E LEMENT M ETHOD. G. P. Nikishkov 2004 Lecture Notes. University of Aizu, Aizu-Wakamatsu 965-8580, Japan 2. Updated 2004-01-19. Contents 1 Introduction 5. What is the finite element method . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5. How the FEM works . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5. Formulation of finite element equations . . . . . . . . . . . . . . . . . . . . . . . . . 6. Galerkin method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6. Variational formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8. 2 Finite Element Equations for Heat Transfer 11. Problem Statement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11. Finite element discretization of heat transfer equations . . . . . . . . . . . . . . . . . 12. Different Type Problems.

most popular method of its finite element formulation is the Galerkin method. If the physical problem can be formulated as minimization of a functional then variational formulation of the finite element equations is usually used. 1.3.1 Galerkin method

  Methods