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Introduction Finite Element Method
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Table of Contents

  • Introduction.
  • Matrix Algebra.
  • Direct Approach.
  • Strong and Weak Formulations - One-dimensional Heat Flow.
  • Gradient - Gauss' Divergence Theorem - Green Theorem.
  • Strong and Weak Forms - Two-and Three-Dimensional Heat Flow.
  • Choice of Approximating Functions for the FE-method - Scalar Problems.
  • Choice of Weight Function - Weighted Residual Methods.
  • FE-formulation of One-Dimensional Heat Flow.
  • FE-formulation of Two-and-Three Dimensional Heat Flow.
  • Guidelines for Element Meshes and Global Nodal Numbering.
  • Stresses and Strains.
  • Linear Elasticity.
  • FE-formulation of Torsion and Non-circular Shafts.
  • Approximating Functions for the FE-method - Vector Problems.
  • FE-formulation of Three-and-Two Dimensional Elasticity.
  • FE-formulation of Beams.
  • FE-formulation of Plates.
  • Isoparametric Finite Elements.
  • Numerical Integration.

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