Mesh independence of matrix-free methods for path following
| dc.citation.epage | 1850 | en_US |
| dc.citation.issue | 5 | en_US |
| dc.citation.spage | 1835 | en_US |
| dc.citation.volume | 21 | en_US |
| dc.contributor.author | Ferng, WR | en_US |
| dc.contributor.author | Kelley, CT | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:45:16Z | |
| dc.date.available | 2014-12-08T15:45:16Z | |
| dc.date.issued | 2000-05-21 | en_US |
| dc.description.abstract | In this paper we consider a matrix-free path following algorithm for nonlinear parameter-dependent compact fixed point problems. We show that if these problems are discretized so that certain collective compactness and strong convergence properties hold, then this algorithm can follow smooth folds and capture simple bifurcations in a mesh-independent way. | en_US |
| dc.identifier.issn | 1064-8275 | en_US |
| dc.identifier.journal | SIAM JOURNAL ON SCIENTIFIC COMPUTING | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/30512 | |
| dc.identifier.wosnumber | WOS:000087320700013 | |
| dc.language.iso | en_US | en_US |
| dc.subject | path following | en_US |
| dc.subject | bifurcation | en_US |
| dc.subject | collective compactness | en_US |
| dc.subject | fold point | en_US |
| dc.subject | mesh independence | en_US |
| dc.subject | matrix-free method | en_US |
| dc.subject | GMRES | en_US |
| dc.subject | Arnoldi method | en_US |
| dc.subject | singularity | en_US |
| dc.title | Mesh independence of matrix-free methods for path following | en_US |
| dc.type | Article; Proceedings Paper | en_US |