Pointwise Error Estimates for the LDG Method Applied to 1-d Singularly Perturbed Reaction-Diffusion Problems.
In: Computational Methods in Applied Mathematics, Jg. 13 (2013), Heft 1, S. 79-94
academicJournal
Zugriff:
The local discontinuous Galerkin method (LDG) is considered for solving one-dimensional singularly perturbed two-point boundary value problems of reaction-diffusion type. Pointwise error estimates for the LDG approximation to the solution and its derivative are established on a Shishkin-type mesh. Numerical experiments are presented. Moreover, a superconvergence of order of the numerical traces is observed numerically. [ABSTRACT FROM AUTHOR]
Copyright of Computational Methods in Applied Mathematics is the property of De Gruyter and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Titel: |
Pointwise Error Estimates for the LDG Method Applied to 1-d Singularly Perturbed Reaction-Diffusion Problems.
|
---|---|
Autor/in / Beteiligte Person: | Zhu, Huiqing ; Zhang, Zhimin |
Zeitschrift: | Computational Methods in Applied Mathematics, Jg. 13 (2013), Heft 1, S. 79-94 |
Veröffentlichung: | 2013 |
Medientyp: | academicJournal |
ISSN: | 1609-4840 (print) |
DOI: | 10.1515/cmam-2012-0004 |
Sonstiges: |
|