Title: The p-version of the finite-element method

Authors: Z. Pammer

Addresses: PaB Company Ltd., H-1115 Budapest, Somogyi u. 28/A, Hungary

Abstract: This paper concentrates on the advantages of a process based on the p-version of the finite-element method. Hierarchic polynomial approximation is briefly described to show the theoretical background of a gradually improved solution process which is the basis of the error-estimation capability as well. The traditional finite-element method, the h-version and the p-version are compared from the engineering point of view with special consideration given to simplicity, reliability and cost-effectiveness. Sample problems and industrial applications are presented in the areas of statics, dynamics, transient heat transfer and fracture mechanics to illustrate the most important benefits.

Keywords: dynamics; finite element method; FEM; fracture mechanics; transient heat transfer; p-version; statics.

DOI: 10.1504/IJCAT.1992.062605

International Journal of Computer Applications in Technology, 1992 Vol.5 No.2/3/4, pp.208 - 215

Available online: 10 Jun 2014 *

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