Ritz-type projectors with boundary interpolation properties and explicit spline error estimates

2021/05/24 by Espen Sande, Sande, Espen, Carla Manni +3 · 1 citation
Engineering · #Advanced Numerical Analysis Techniques #Numerical methods in engineering #Advanced Numerical Methods in Computational Mathematics

paper · pdf · doi:10.48550/arxiv.2105.11252

Abstract

In this paper we construct Ritz-type projectors with boundary interpolation properties in finite dimensional subspaces of the usual Sobolev space and we provide a priori error estimates for them. The abstract analysis is exemplified by considering spline spaces and we equip the corresponding error estimates with explicit constants. This complements our results recently obtained for explicit spline error estimates based on the classical Ritz projectors in [Numer. Math. 144(4):889--929, 2020].

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