𝐿_{∞}-boundedness of 𝐿₂-projections on splines for a multiple geometric mesh

Jia, Rong Qing

doi:10.1090/S0025-5718-1987-0878699-7

$L_ \infty$-boundedness of $L_ 2$-projections on splines for a multiple geometric mesh

Author: Rong Qing Jia
Journal: Math. Comp. 48 (1987), 675-690
MSC: Primary 41A15; Secondary 15A60
DOI: https://doi.org/10.1090/S0025-5718-1987-0878699-7
MathSciNet review: 878699
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Abstract: This paper concerns the ${L_2}$-projectors from ${L_\infty }$ to the normed linear space of polynomial splines. It is shown that for the multiple geometric meshes the ${L_\infty }$ norms of the corresponding ${L_2}$-projectors are bounded independently of the mesh ratio.

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