IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method
Autor/es:
MARÍA G. ARMENTANO, VERÓNICA MORENO
Revista:
APPLIED NUMERICAL MATHEMATICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2016 vol. 109 p. 184 - 207
ISSN:
0168-9274
Resumen:
The goal of this work is to introduce a local and a global interpolator in Jacobi-weighted spaces, with optimal order of approximation in the context of the $p$-version of finite element methods. Then, an a posteriori error indicator of the residual type is proposed for a model problem in two dimensions and, in the mathematical framework of the Jacobi-weighted spaces, the equivalence between the estimator and the error is obtained on appropriate weighted norm.
