ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991):65N30
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. We estimate condition numbers of $p$ -version matrices for tensor product elements with two choices of reference element degrees of freedom. In one case (Lagrange elements) the condition numbers grow exponentially in $p$ , whereas in the other (hierarchical basis functions based on Tchebycheff polynomials) the condition numbers grow rapidly but only algebraically in $p$ . We conjecture that regardless of the choice of basis the condition numbers grow like $p^{4d}$ or faster, where $d$ is the dimension of the spatial domain.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050096
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