INVESTIGADORES
DARI Enzo Alberto
artículos
Título:
Maximum Norm Error Estimators for Three-Dimensional Elliptic Problems
Autor/es:
ENZO A. DARI; RICARDO G. DURÁN; CLAUDIO PADRA
Revista:
SIAM JOURNAL ON NUMERICAL ANALYSIS
Editorial:
SIAM PUBLICATIONS
Referencias:
Lugar: Philadelphia-USA; Año: 2000 vol. 37 p. 683 - 700
ISSN:
0036-1429
Resumen:
In this paper we define an a posteriori error estimator for finite
element approximations of 3-d elliptic problems. We prove that the
estimator is equivalent, up to logarithmic factors of the meshsize, to
the maximum norm of the error. The results are valid for an arbitrary
polyhedral domain and rather general meshes. We also obtain analogous
results for the nonconforming method of Crouzeix-Raviart. Finally, we
present some numerical results comparing adaptive procedures based on
controlling the error in different norms.
