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http://hdl.handle.net/1942/37647| Title: | On the fundamental solutions-based inversion of Laplace matrices | Authors: | VERMOLEN, Fred den Bakker, D. R. Vuik, C. |
Issue Date: | 2022 | Publisher: | ELSEVIER | Source: | RESULTS IN APPLIED MATHEMATICS, 15 (Art N° 100288) | Abstract: | The discretisation of the Laplacian results into the well-known Laplace matrix. In the case of a one dimensional problem, an explicit formula for its inverse is derived on the basis of fundamental solutions (Green's functions) for general boundary conditions. For a linear reaction-diffusion equation, approximations of the inverse are given. (c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). | Notes: | Vermolen, FJ (corresponding author), Univ Hasselt, Dept Math & Stat, Diepenbeek, Belgium. Fred.Vermolen@uhasselt.be |
Keywords: | Inverse matrix;Laplace matrix;Finite element discretisation;Fundamental solutions | Document URI: | http://hdl.handle.net/1942/37647 | ISSN: | 2590-0374 | DOI: | 10.1016/j.rinam.2022.100288 | ISI #: | WOS:000811244900003 | Rights: | 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) | Category: | A1 | Type: | Journal Contribution | Validations: | vabb 2024 |
| Appears in Collections: | Research publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Elsevier Enhanced Reader.pdf | Published version | 5.18 MB | Adobe PDF | View/Open |
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