Estimates for the discrete fundamental solution of the discrete Laplace operator on a rectangular lattice
- This paper presents numerical analysis of the discrete fundamental solution of the discrete Laplace operator on a rectangular lattice. Additionally, to provide estimates in interior and exterior domains, two different regularisations of the discrete fundamental solution are considered. Estimates for the absolute difference and lp‐estimates are constructed for both regularisations. Thus, this work extends the classical results in the discrete potential theory to the case of a rectangular lattice and serves as a basis for future convergence analysis of the method of discrete potentials on rectangular lattices.
Download full text files
Additional Services
| Author: | Anastasiia LegatiukORCiD, Klaus Gürlebeck, Angela HommelORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1002/mma.7747 |
| ISSN: | 0170-4214 Available in library? |
| Parent Title (English): | Mathematical Methods in the Applied Sciences |
| Publisher: | Wiley |
| Document Type: | Article |
| Language: | English |
| Year of first Publication: | 2021 |
| Tag: | General Engineering; General Mathematics |
| Page Number: | 23 |
| First Page: | 1 |
| Last Page: | 23 |
| Faculty: | Westsächsische Hochschule Zwickau / Wirtschaftswissenschaften |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 515 Analysis |
| Open Access: | open_access |
| Release Date: | 2024/02/29 |
| Licence (German): |  Creative Commons 4.0 International - Namensnennung - Nicht kommerziell - Keine Bearbeitungen |
