The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers

Collier, N.; Pardo, D.; Dalcin, L.; Paszynski, M.; Calo, Victor

doi:10.1016/j.cma.2011.11.002

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Authors

Collier, N.

Pardo, D.

Dalcin, L.

Paszynski, M.

Calo, Victor

Date

2012

Type

Journal Article

Metadata

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Citation

Collier, N. and Pardo, D. and Dalcin, L. and Paszynski, M. and Calo, V. 2012. The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers. Computer Methods in Applied Mechanics and Engineering. 213-216: pp. 353-361.

Source Title

Computer Methods in Applied Mechanics and Engineering

DOI

10.1016/j.cma.2011.11.002

ISSN

0045-7825

School

Department of Applied Geology

URI

http://hdl.handle.net/20.500.11937/51377

Collection

Curtin Research Publications

Abstract

We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause. © 2011 Elsevier B.V.