Finite Element Analysis - CE 529a, Fall 2008


Course Outline

Office: KAP 234C
Office: (213) 740-0607
Class Homepage:

Text: Cook, Concepts and Applications of
         Finite Element Analysis, 4th Ed., Wiley.

Grading: 25 percent homework
               25 percent project
               25 percent midterm (only one midterm exam)
               25 percent final


Variational Models

  1. Calculus of variations.
  2. Constraints – Largrange multiplier
  3. Constraints – penalty
  4. Galerkin method.

Continuum Finite Elements

  1. 1-D interpolation methods
  2. 2-D interpolation methods – rectangles and triangles.
  3. 3-D interpolation methods – hexahedron, tetrahedron, prism.

Isoparameteric Elements

  1. Mappings – physical system and natural coordinate system.
  2. Numerical integration – Gauss quadrature.

Numerical Implementation of the Finite Element Method

  1. Column storage schemes.
  2. Assembly in active column form.
  3. Static column solvers.
  4. Mesh generation.

Finite Elements for Elasticity Problems

  1. Plane stress – plane strain.
  2. Stress calculation.
  3. Incompressible problems.
  4. Pressure, enforced displacement, and thermal loading.

Finite Elements for Axisymmetric Elasticity Problems

Finite Elements for Plate Problems

Finite Elements for Shell Problems

Finite Elements for Dynamic Problems

Introduction to Nonlinear Finite Element Analysis

Adaptive Methods

[Last updated Thursday, August 24, 2006]