Green Function for a Two-Dimensional Discrete Laplace-Beltrami Operator

dc.creator	Sushch, Volodymyr
dc.date	2008-07-01
dc.date.accessioned	2019-05-03T12:36:41Z
dc.date.available	2019-05-03T12:36:41Z
dc.identifier	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1515
dc.identifier.uri	http://revistaschilenas.uchile.cl/handle/2250/84246
dc.description	We study a discrete model of the Laplacian in ℝ2 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.	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1515/1369
dc.source	CUBO, A Mathematical Journal; Vol. 10 Núm. 2 (2008): CUBO, A Mathematical Journal; 47–59	es-ES
dc.source	CUBO, A Mathematical Journal; Vol 10 No 2 (2008): CUBO, A Mathematical Journal; 47–59	en-US
dc.source	0719-0646
dc.source	0716-7776
dc.title	Green Function for a Two-Dimensional Discrete Laplace-Beltrami Operator	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion