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VGU RESEARCH REPOSITORY


Please use this identifier to cite or link to this item: https://epub.vgu.edu.vn/handle/dlibvgu/23
Title: A posteriori error estimation for the Laplace–Beltrami equation on spheres with spherical splines
Authors: Pham Thanh Duong 
and Tung Le 
Keywords: Laplace–Beltrami equation;Spherical spline;A posteriori error estimate;Adaptivity
Issue Date: 2017
Publisher: Elsevier, Science Direct
Series/Report no.: Computers and Mathematics with Applications;Vol. 74(10)
Abstract: 
We prove a posteriori upper and lower bounds for the error estimates when solving the Laplace–Beltrami equation on the unit sphere by using the Galerkin method with spherical splines. Adaptive mesh refinements based on these a posteriori error estimates are used to reduce complexity and computational cost of the corresponding discrete problems. The theoretical results are corroborated by numerical experiments.
Index & Ranking: ISI(SCI) Q1
URI(1): http://epub.vgu.edu.vn/handle/dlibvgu/23
DOI: 10.1016/j.camwa.2017.07.003
Appears in Collections:ARTICLE/BOOK PUBLICATION

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