Error bounds for a least squares meshless finite difference method on closed manifolds

dc.contributor.author	Davydov, Oleg
dc.date.accessioned	2024-02-06T14:38:21Z
dc.date.available	2024-02-06T14:38:21Z
dc.date.issued	2023
dc.description.abstract	We present an error bound for a least squares version of the kernel based meshless finite difference method for elliptic differential equations on smooth compact manifolds of arbitrary dimension without boundary. In particular, we obtain sufficient conditions for the convergence of this method. Numerical examples are provided for the equation -Δ(M) u+u = f on the 2- and 3-spheres, where Δ(M) is the Laplace-Beltrami operator.
dc.identifier.uri	https://jlupub.ub.uni-giessen.de//handle/jlupub/18953
dc.identifier.uri	http://dx.doi.org/10.22029/jlupub-18314
dc.language.iso	en
dc.rights	Namensnennung 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.subject.ddc	ddc:510
dc.subject.ddc	ddc:004
dc.title	Error bounds for a least squares meshless finite difference method on closed manifolds
dc.type	article
local.affiliation	FB 07 - Mathematik und Informatik, Physik, Geographie
local.source.articlenumber	48
local.source.journaltitle	Advances in computational mathematics
local.source.uri	https://doi.org/10.1007/s10444-023-10044-0
local.source.volume	49

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