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research article

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

Sande, Espen  
•
Manni, Carla
•
Speleers, Hendrik
May 3, 2022
Numerische Mathematik

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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Type
research article
DOI
10.1007/s00211-022-01286-z
Web of Science ID

WOS:000790243300001

Author(s)
Sande, Espen  
Manni, Carla
Speleers, Hendrik
Date Issued

2022-05-03

Publisher

Springer

Published in
Numerische Mathematik
Subjects

Mathematics, Applied

•

Mathematics

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41a15

•

41a44

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65d07

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65m15

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65m60

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isogeometric analysis

•

refinement

•

design

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
MNS  
Available on Infoscience
May 23, 2022
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/188007
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