IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
An algorithm for prescribed mean curvature using isogeometric methods
Autor/es:
MORIN, PEDRO; CHICCO-RUIZ, ANÍBAL LEONARDO; PAULETTI, M. SEBASTIÁN
Revista:
JOURNAL OF COMPUTATIONAL PHYSICS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2016 vol. 317 p. 185 - 203
ISSN:
0021-9991
Resumen:
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.