Maximum Norm Regularity of Periodic Elliptic Difference Operators With Variable Coefficients

Autor:	Michael Pruitt
Rok vydání:	2015
Předmět:	Numerical Analysis Quarter period Logarithm Applied Mathematics Mathematical analysis Elliptic function Finite difference Computational Mathematics Half-period ratio Elliptic operator Modeling and Simulation Norm (mathematics) Uniform boundedness Analysis Mathematics
Zdroj:	ESAIM: Mathematical Modelling and Numerical Analysis. 49:1451-1461
ISSN:	1290-3841 0764-583X
DOI:	10.1051/m2an/2015018
Popis:	We prove regularity results for divergence form periodic second order elliptic difference operators on the space of functions of mean value zero, valid in maximum norm. The estimates obtained are discrete analogues of the regularity results for continuous operators. The maximum norms of the inverse of such an elliptic operator and of its first spatial differences are uniformly bounded in the grid spacing, and second spatial differences are uniformly bounded except for a logarithmic factor in the grid spacing.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9d46e5b5b6d839d78a755709d7bbb83a https://doi.org/10.1051/m2an/2015018 Zobrazit plný text záznamu