Artículos de revistas
Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method
Fecha
2016-11Registro en:
Armentano, Maria Gabriela; Moreno, Verónica; Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method; Elsevier Science; Applied Numerical Mathematics; 109; 11-2016; 184-207
0168-9274
CONICET Digital
CONICET
Autor
Armentano, Maria Gabriela
Moreno, Verónica
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.