Back to Search
Start Over
The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers
- Source :
-
Computer Methods in Applied Mechanics & Engineering . Mar2012, Vol. 213-216, p353-361. 9p. - Publication Year :
- 2012
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00457825
- Volume :
- 213-216
- Database :
- Academic Search Index
- Journal :
- Computer Methods in Applied Mechanics & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 71804449
- Full Text :
- https://doi.org/10.1016/j.cma.2011.11.002