
Contents
1 Weighted Residual and Variational Methods 1
1.1 Basic definitions
1.2 Weighted residual methods
1.3 Weak formulations
1.4 Initial value problems
♦
1.5 The case of quadratic functional
♦ 1.6 Rayleigh-Ritz method
♦
1.7 Subsidiary conditions
2 The Finite Element Technique 57
2.1 Localised functions
2.2 The finite element technique
2.3 Element matrices
2.4 System equations
2.5 Solution of the system
2.6 The general program
3 Interpolation Functions 100
3.1 Introduction
3.2 First-order continuity functions for triangular elements
3.3 First-order continuity functions for rectangular elements
♦ 3.4 Isoparametric elements
♦ 3.5 Second-orde ...