INVESTIGADORES
STORTI Mario Alberto
artículos
Título:
Multigrid method and adaptive refinement techniques in elliptic problems by the finite element method
Autor/es:
STORTI MARIO; NIGRO NORBERTO; IDELSOHN, SERGIO
Revista:
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Editorial:
Elsevier
Referencias:
Lugar: Amsterdam, Holanda; Año: 1991 vol. 93 p. 13 - 30
ISSN:
0045-7825
Resumen:
Multigrid and adaptive refinement techniques are powerful tools in the
resolution of problems arising from computational mechanics. In
structured grids the number of numerical operations needed in the
resolution via the multigrid method is of order N, the number
of degrees of freedom, regardless the dimensionality of the problem. In
this work a multigrid technique, which works on unstructured meshes, is
described. These meshes are obtained from a user defined tesselation
through bisection refinement upon any element. Original techniques for
nodes numbering, irregular nodes detection and nodes classification are
developed in view of multigrid method implementation. The error
indicator used in the refinement process is based on truncation error
estimates. The refinement strategy is oriented toward error reduction
at constant computational effort. Finally several numerical examples
are presented.