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Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part
- 1.0482329 - ÚGN 2018 RIV NL eng J - Článek v odborném periodiku
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
Institucionální podpora: RVO:68145535
Klíčová slova: finite difference method * error estimates * matrix splitting * preconditioning
Obor OECD: Applied mathematics
Impakt faktor: 1.632, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0277746
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