Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part

0482329 - ÚGN 2018 RIV NL eng J - Journal Article
Axelsson, Owe - Karátson, J.
Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part.
Journal of Computational and Applied Mathematics. Roč. 210, January 2017 (2017), s. 155-164. ISSN 0377-0427. E-ISSN 1879-1778
Institutional support: RVO:68145535
Keywords : finite difference method * error estimates * matrix splitting * preconditioning
OECD category: Applied mathematics
Impact factor: 1.632, year: 2017
http://www.sciencedirect.com/science/article/pii/S0377042716301492?via%3Dihub

For finite difference matrices that are monotone, a discretization error estimate in maximum norm follows from the truncation errors of the discretization. It enables also discretization error estimates for derivatives of the solution. These results are extended to convergent operator splittings of the difference matrix where the major, preconditioning part is monotone but the whole operator is not necessarily monotone.
Permanent Link: http://hdl.handle.net/11104/0277746