Introduction to Finite and Spectral Element Methods using MATLAB

Description

THE FINITE ELEMENT METHOD IN ONE DIMENSIONSteady diffusion with linear elementsVariational formulation and weighted residuals Steady diffusion with quadratic elements Unsteady diffusion in one dimension One-dimensional convection One-dimensional convection-diffusion Beam bending Beam buckling HIGH-ORDER AND SPECTRAL ELEMENTS IN ONE DIMENSION Nodal bases Spectral interpolation Lobatto interpolation and element matrices Spectral code for steady diffusion Spectral code for unsteady diffusion Modal expansion THE FINITE ELEMENT METHOD IN TWO DIMENSIONS Convection-diffusion in two dimensions 3-node. Read more... Abstract: Helps to understand both the theoretical foundation and practical implementation of the finite element method and its companion spectral element method. This work introduces the fundamentals and emphasizes algorithm development and computer implementation of the essential procedures. Read more...