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THIS PAPER PRESENTS A COMPARATIVE STUDY ON HIERARCHICAL BASIS FUNCTIONS FOR TRIANGULAR AND TETRAHEDRAL DOMAINS. THE ELEMENT CONDITION NUMBER AND SPARSITY ARE DISCUSSED FOR VARIOUS SETS OF SHAPE FUNTIONS SUGGESTED IN THE LITERATURE (CARNEVALI, MORRIS, TSUJI AND TAYLOR, 1993; SHEPHARD, DEY AND FLAHERTY, 1997; SHERWIN AND KARNIADAKIS, 1995; SZABO AND BABUSKA, 1991; WEBB AND ABOUCHAKRA, 1995; ABOUCHAKRA, 1996). BASED ON THE CRITERIA ADOPTED TO THE PRESENT ANALYSIS, THE BETTER PERFORMANCE IS ACHIEVED BY THE FUNCTIONS PROPOSED IN (WEBB AND ABOUCHAKRA, 1995; ABOUCHAKRA, 1996; SHERWIN AND KARNIADAKIS, 1995).0 |
