INVESTIGADORES
MILLÁN RaÚl Daniel
congresos y reuniones científicas
Título:
Variationally adaptive support size in local maximum-entropy approximants (Poster)
Autor/es:
ADRIAN ROSOLEN; DANIEL MILLÁN; MARINO ARROYO
Lugar:
Cardona, Barcelona
Reunión:
Workshop; 9th Workshop on Numerical in Applied Science and Engineering 2010; 2010
Institución organizadora:
LaCàN - Universitat Politècnica de Catalunya
Resumen:
An advantage of meshfree methods over conventional mesh-based methods is
the flexibility they offer to scatter nodes in the domain at will and
to select the support size (or locality) of the basis functions. As it
is known that the accuracy of the solutions depends strongly on those
choices, several adaptive strategies to arrange optimally the nodes have
been proposed in the literature. However, in spite of more than thirty
years of meshfree developments, the systematic optimization of the basis
functions support size has never been tackled. Here, the automatic
adaption of the support size in the context of meshfree local
maximum-entropy approximants and partial differential equations stemming
from a minimum principle is proposed and investigated.