Some numerical experiences with an explicit finite element method for diffusion equation
Abstract
An explicit timestepping technique is presented for solving the transient diffusion equation. Initial and boundary conditions are defined, together with a fully discrete equation in matrix form. The GaussLobato quadrature rule is applied to computing the capacity and conduction matrices. A stability criterion is formulated for selecting the initial time step. Uses of the explicit technique are illustrated in the form of heat conduction in a cylinder and onedimensional nonlinear heat conduction dependent on material properties.
 Publication:

Developments in Mechanics. Volume 12
 Pub Date:
 1983
 Bibcode:
 1983deme...12..313L
 Keywords:

 Conductive Heat Transfer;
 Diffusion Theory;
 Finite Element Method;
 Time Marching;
 Transient Heating;
 Discrete Functions;
 Matrices (Mathematics);
 Nonlinear Equations;
 Fluid Mechanics and Heat Transfer