Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/37647
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dc.contributor.authorVERMOLEN, Fred-
dc.contributor.authorden Bakker, D. R.-
dc.contributor.authorVuik, C.-
dc.date.accessioned2022-07-06T07:58:56Z-
dc.date.available2022-07-06T07:58:56Z-
dc.date.issued2022-
dc.date.submitted2022-07-05T13:40:25Z-
dc.identifier.citationResults in Applied Mathematics, 15 (Art N° 100288)-
dc.identifier.urihttp://hdl.handle.net/1942/37647-
dc.description.abstractThe 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/).-
dc.language.isoen-
dc.publisherELSEVIER-
dc.rights2022 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/)-
dc.subject.otherInverse matrix-
dc.subject.otherLaplace matrix-
dc.subject.otherFinite element discretisation-
dc.subject.otherFundamental solutions-
dc.titleOn the fundamental solutions-based inversion of Laplace matrices-
dc.typeJournal Contribution-
dc.identifier.volume15-
local.bibliographicCitation.jcatA1-
dc.description.notesVermolen, FJ (corresponding author), Univ Hasselt, Dept Math & Stat, Diepenbeek, Belgium.-
dc.description.notesFred.Vermolen@uhasselt.be-
local.publisher.placeRADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.artnr100288-
dc.identifier.doi10.1016/j.rinam.2022.100288-
dc.identifier.isiWOS:000811244900003-
local.provider.typewosris-
local.description.affiliation[Vermolen, F. J.] Univ Hasselt, Dept Math & Stat, Diepenbeek, Belgium.-
local.description.affiliation[Vermolen, F. J.; den Bakker, D. R.; Vuik, C.] Delft Univ Technol, Delft Inst Appl Math, Delft, Netherlands.-
local.uhasselt.internationalyes-
item.validationvabb 2024-
item.fulltextWith Fulltext-
item.contributorVERMOLEN, Fred-
item.contributorden Bakker, D. R.-
item.contributorVuik, C.-
item.fullcitationVERMOLEN, Fred; den Bakker, D. R. & Vuik, C. (2022) On the fundamental solutions-based inversion of Laplace matrices. In: Results in Applied Mathematics, 15 (Art N° 100288).-
item.accessRightsOpen Access-
crisitem.journal.issn2590-0382-
Appears in Collections:Research publications
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