Name
Abstract | ||
|---|---|---|
In this paper, we propose a new method for parameterizing a contractible domain (called the computational domain) which is defined by its boundary. Using a sequence of harmonic maps, we first build a mapping from the computational domain to the parameter domain, i.e., the unit square or unit cube. Then we parameterize the original domain by spline approximation of the inverse mapping. Numerical simulations of our method were performed with several shapes in 2D and 3D to demonstrate that our method is suitable for various shapes. The method is particular useful for isogeometric analysis because it provides an extension from a boundary representation of a model to a volume representation. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/978-3-642-27413-8_32 | Curves and surfaces |
Keywords | Field | DocType |
boundary representation,computational domain,inverse mapping,volume representation,unit cube,parameter domain,original domain,contractible domain,unit square,harmonic map,new method | Spline (mathematics),Boundary representation,Topology,Harmonic map,Isogeometric analysis,Fictitious domain method,Algorithm,Contractible space,Unit cube,Unit square,Mathematics | Conference |
Citations | PageRank | References |
12 | 0.90 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thien Nguyen | 1 | 30 | 5.70 |
| Bert Jüttler | 2 | 1148 | 96.12 |