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).
Sande, E., Manni, C., Speleers, H. (2022). Ritz-type projectors with boundary interpolation properties and explicit spline error estimates. NUMERISCHE MATHEMATIK, 151(2), 475-494 [10.1007/s00211-022-01286-z].
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates
Manni C.;Speleers H.
2022-06-01
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).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
