INVESTIGADORES
STORTI Mario Alberto
artículos
Título:
Adaptive refinement criterion for elliptic problems discretized by FEM
Autor/es:
STORTI MARIO; NIGRO NORBERTO; IDELSOHN, SERGIO
Revista:
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
Editorial:
John Wiley and sons
Referencias:
Lugar: Hoboken, New Jersey; Año: 1993 vol. 9 p. 729 - 743
ISSN:
1069-8299
Resumen:
In a recent paper1 we presented a data structure to be used
with multigrid techniques on non-homogeneously refined FEM meshes. This
paper focuses on the adaptive refinement techniques used there. The
error estimate is obtained from standard Taylor series. For each
element we compute its efficiency in terms of the size, the norm of the
second derivatives of the unknown and the parameter p, where Lp
is the chosen norm. The way the norm influences the optimal mesh is
studied. The number of elements to be refined at each step is such to
produce a fast convergence to the optimal mesh, followed by successive
homogeneous refinements. We hope that the analysis of these two
subjects could be of value for people working with other (perhaps very
dissimilar) adaptive refinement techniques (error estimate and data
structure, for instance).