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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13. 3 FEM for Solid Mechanics Problems 15.

2004 Lecture Notes. University of Aizu, Aizu-Wakamatsu 965-8580, Japan niki@u-aizu.ac.jp. 2 Updated 2004-01-19. Contents ... one dimensional bar with cross-sectional areaA made of material with the elasticity modulus E and subjected to a distributed load b and a concentrated load R at its right end as shown in Fig 1.3.

  Lecture, Elasticity