Adaptive simplicial grids from cross-sections of monotone complexes

Authors
Edelsbrunner, H Waupotitsch, R
Citation
H. Edelsbrunner et R. Waupotitsch, Adaptive simplicial grids from cross-sections of monotone complexes, INT J C GEO, 10(3), 2000, pp. 267-284
Citations number
10
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
ISSN journal
02181959 → ACNP
Volume
10
Issue
3
Year of publication
2000
Pages
267 - 284
Database
ISI
SICI code
0218-1959(200006)10:3<267:ASGFCO>2.0.ZU;2-2
Abstract
We study the maintenance of a simplicial grid or complex under changing den sity requirements. The proposed method works in any fixed dimension and gen erates grids by projecting cross-sections of a monotone simplicial complex that lives in one dimension higher than the grid. The density of the grid i s adapted by locally moving the cross-section up or down along the extra di mension.