A comparison of finite difference and finite element techniques in the study of transient heat conduction processes
Abstract
In many cases finite element methods are preferred because they can be better adapted to the geometrical characteristics of the problem. It is shown with the aid of a twodimensional transient heat transfer problem that, in the absence of special geometric considerations and matrix processes, difficulties occur concerning the adaptation of the obtained system of equations to the given physical conditions. The difficulties considered can generally not be eliminated by decreasing the temporal step size. Attention is given to approaches for overcoming this disadvantage of the finite element method.
 Publication:

Forschung im Ingenieurwesen
 Pub Date:
 1975
 Bibcode:
 1975F&I....41..169S
 Keywords:

 Conductive Heat Transfer;
 Finite Difference Theory;
 Finite Element Method;
 Transient Heating;
 Boundary Value Problems;
 Differential Equations;
 Interpolation;
 Linear Equations;
 Matrix Theory;
 Temperature Distribution;
 Thermal Stresses;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer