TY - JOUR
T1 - Convergence analysis of corner cutting algorithms refining nets of functions
AU - Conti, Costanza
AU - Dyn, Nira
AU - Romani, Lucia
N1 - Publisher Copyright:
© 2020 International Association for Mathematics and Computers in Simulation (IMACS)
PY - 2020/10
Y1 - 2020/10
N2 - In this paper we propose a corner cutting algorithm for nets of functions and prove its convergence using some approximation ideas first applied to the case of corner cutting algorithms refining points with weights proposed by Gregory and Qu. In the net case convergence is proved for the above mentioned weights satisfying an additional condition. The condition requires a bound on the supremum of the relative sizes of the cuts.
AB - In this paper we propose a corner cutting algorithm for nets of functions and prove its convergence using some approximation ideas first applied to the case of corner cutting algorithms refining points with weights proposed by Gregory and Qu. In the net case convergence is proved for the above mentioned weights satisfying an additional condition. The condition requires a bound on the supremum of the relative sizes of the cuts.
KW - Convergence
KW - Coons transfinite interpolation
KW - Corner cutting for nets of functions
KW - Corner cutting for polygonal lines
KW - Lipschitz continuity
UR - http://www.scopus.com/inward/record.url?scp=85079525486&partnerID=8YFLogxK
U2 - 10.1016/j.matcom.2020.01.012
DO - 10.1016/j.matcom.2020.01.012
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AN - SCOPUS:85079525486
SN - 0378-4754
VL - 176
SP - 134
EP - 146
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
ER -