Name
Abstract | ||
|---|---|---|
This paper continues earlier work on mathematical techniques for generating optimized algorithms for computing finite element stiffness matrices. These techniques start from representing the stiffness matrix for an affine element as a collection of contractions between reference tensors and an element-dependent geometry tensor. We go beyond the complexity-reducing binary relations explored in [R. C. Kirby, A. Logg, L. R. Scott, and A. R. Terrel, SIAM J. Sci. Comput., 28 (2006), pp. 224-240] to consider geometric relationships between three or more objects. Algorithms based on these relationships often have even fewer operations than those based on complexity-reducing relations. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1137/060660722 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
optimized algorithm,element-dependent geometry tensor,variational form,l. r,affine element,geometric optimization,finite element matrices,siam j. sci,c. kirby,stiffness matrix,finite element,complexity-reducing relation,earlier work,graph theory,complexity-reducing binary relation,finite element stiffness matrix,binary relation,sparse matrix | Affine transformation,Graph theory,Tensor,Algebra,Mathematical analysis,Matrix (mathematics),Binary relation,Algorithm,Finite element method,Stiffness matrix,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
29 | 2 | 1064-8275 |
Citations | PageRank | References |
4 | 0.49 | 12 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Robert C. Kirby | 1 | 172 | 23.27 |
| L. Ridgway Scott | 2 | 15 | 3.63 |