Error-constant estimation under the maximum norm for linear Lagrange interpolation

Abstract For the linear Lagrange interpolation over a triangular domain, we propose an efficient algorithm to rigorously evaluate the interpolation error constant under the maximum norm by using the finite-element method (FEM). In solving the optimization problem corresponding to the interpolation e...

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Bibliographic Details
Main Authors: Shirley Mae Galindo, Koichiro Ike, Xuefeng Liu
Format: Article
Language:English
Published: SpringerOpen 2022-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-022-02841-w