Green function for a two-dimensional discrete Laplace-Beltrami operator

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dc.creatorSushch, Volodymyr
dc.date2007-12-12
dc.date.accessioned2026-07-07T10:07:15Z
dc.date.available2026-07-07T10:07:15Z
dc.descriptionWe study a discrete model of the Laplacian in $\mathbb{R}^2$ that preserves the geometric structure of the original continual object. This means that, speaking of a discrete model, we do not mean just the direct replacement of differential operators by difference ones but also a discrete analog of the Riemannian structure. We consider this structure on the appropriate combinatorial analog of differential forms. Self-adjointness and boundness for a discrete Laplacian are proved. We define the Green function for this operator and also derive an explicit formula of the one.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0712.2030
dc.identifierhttp://arxiv.org/abs/0712.2030
dc.identifierCubo 10 (2008), no. 2, 47--59
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170568
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject39A12; 39A70
dc.titleGreen function for a two-dimensional discrete Laplace-Beltrami operator
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