Polynomial approximation of some singular functions
- 1 December 1991
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 42 (1-4) , 1-32
- https://doi.org/10.1080/00036819108840031
Abstract
The singularities of the solution of a Poisson equation in a polygonal domain are essentially the distance to a corner, up to a positive but weak power. We prove that the high degree polynomial approximation of such functions is better than the result given by the general theory. This leads to an improvement of the error estimates in some spectral type discretizationsKeywords
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