Direct and inverse approximation theorems for the P-version of the finite element method in the framework of weighted Besov spaces, part III: Inverse approximation theorems
- Autores: Benqi Guo, Ivo Babuska
- Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 173, Nº 1, 2013, págs. 122-157
- Idioma: inglés
- DOI: 10.1016/j.jat.2013.05.001
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Resumen
This is the third of a series devoted to the direct and inverse approximation theorems of the p-version of the finite element method in the framework of the Jacobi-weighted Besov and Sobolev spaces. In this paper we derive the inverse algebraic approximation in terms of the Jacobi-weighted Besov spaces and prove the inverse theorems for the finite element solutions of the p-version in the Chebyshev-weighted Besov spaces based upon the convergence rate measured in the energy norms.
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