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G. P. Nikishkov

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. Problem statement .. 15. Finite element equations .. 16. Assembly of the global equation system .. 18. 4 Finite elements 21.

Introduction 1.1 What is the finite element method The finite element method (FEM) is a numerical technique for solving problems which are described by partial differential equations or can be formulated as functional minimization. A domain of interest is represented as an assembly of finite elements .

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