dc.contributor.author | Gjesteland, Anita | |
dc.contributor.author | Svärd, Magnus | |
dc.date.accessioned | 2023-08-28T11:22:18Z | |
dc.date.available | 2023-08-28T11:22:18Z | |
dc.date.created | 2023-07-12T12:09:03Z | |
dc.date.issued | 2023 | |
dc.identifier.issn | 0885-7474 | |
dc.identifier.uri | https://hdl.handle.net/11250/3085989 | |
dc.description.abstract | We consider a slightly modified local finite-volume approximation of the Laplacian operator originally proposed by Chandrashekar (Int J Adv Eng Sci Appl Math 8(3):174–193, 2016, https://doi.org/10.1007/s12572-015-0160-z). The goal is to prove consistency and convergence of the approximation on unstructured grids. Consequently, we propose a semi-discrete scheme for the heat equation augmented with Dirichlet, Neumann and Robin boundary conditions. By deriving a priori estimates for the numerical solution, we prove that it converges weakly, and subsequently strongly, to a weak solution of the original problem. A numerical simulation demonstrates that the scheme converges with a second-order rate. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Convergence of Chandrashekar’s Second-Derivative Finite-Volume Approximation | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2023 The Author(s) | en_US |
dc.source.articlenumber | 46 | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1007/s10915-023-02256-9 | |
dc.identifier.cristin | 2162108 | |
dc.source.journal | Journal of Scientific Computing | en_US |
dc.identifier.citation | Journal of Scientific Computing. 2023, 96 (2), 46. | en_US |
dc.source.volume | 96 | en_US |
dc.source.issue | 2 | en_US |