Approximations in finite element heat conduction analysis
Abstract
Methods which might accelerate the finite element process and, decrease the computer costs were developed. Three particular areas of improvement were tried: one, a study of efficiency and accuracy using modifications possible in the generation of a quadrilateral element from linear temperature triangular elements; two, ordered elimination of internal node points in order to obtain a reduction in the sizes of the final matrices through use of condensation technique; and, three, a formulation called the finite strip technique specially suitable for rectangular areas and having two of its opposite ends either insulated or kept at a constant temperature. The results of the analysis under the first category indicate that the use of the lumped specific heat matrices produces an appreciable reduction in the computer execution time over the use of the consistent specific heat matrix.
 Publication:

Ph.D. Thesis
 Pub Date:
 1974
 Bibcode:
 1974PhDT........54C
 Keywords:

 Conductive Heat Transfer;
 Cost Reduction;
 Finite Element Method;
 Run Time (Computers);
 Boundary Layers;
 Temperature Measurement;
 Fluid Mechanics and Heat Transfer