Name
Abstract | ||
|---|---|---|
We present a Newton type algorithm to find parametric surfaces of prescribed mean curvature with a fixed given boundary. In particular, it applies to the problem of minimal surfaces. The algorithm relies on some global regularity of the spaces where it is posed, which is naturally fitted for discretization with isogeometric type of spaces. We introduce a discretization of the continuous algorithm and present a simple implementation using the recently released isogeometric software library igatools. Finally, we show several numerical experiments which highlight the convergence properties of the scheme. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.jcp.2016.04.012 | J. Comput. Physics |
Keywords | Field | DocType |
Minimal surfaces,Prescribed curvature,Isogeometric analysis,Quasi-Newton | Parametric surface,Convergence (routing),Discretization,Mathematical optimization,Mathematical analysis,Isogeometric analysis,Algorithm,Mean curvature,Software,Minimal surface,Mathematics | Journal |
Volume | Issue | ISSN |
317 | C | 0021-9991 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Aníbal Chicco-Ruiz | 1 | 0 | 0.34 |
| Pedro Morin | 2 | 331 | 47.99 |
| M. Sebastian Pauletti | 3 | 5 | 1.11 |