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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/60
Title: A posteriori residual error estimation for hypersingular integral equation on spheres with spherical splines
Authors: Pham Thanh Duong 
Le Tung 
Keywords: Hypersingular integral equation;Spherical spline;A posteriori error estimate;A posteriori error estimate;Adaptivity
Issue Date: 2019
Publisher: Springer Link
Source: https://link.springer.com/article/10.1007%2Fs40306-019-00331-8
Journal/Book titles: Acta Mathematica Vietnamica 
Series/Report no.: 1-32;
Abstract: 
A posteriori residual and hierarchical upper bounds for the error estimates are proved when solving the hypersingular integral equation on the unit sphere by using the Galerkin method with spherical splines. Based on these a posteriori error estimates, adaptive mesh refining procedures are used to reduce complexity and computational cost of the discrete problems. Numerical experiments illustrate our theoretical results.
Index & Ranking: Scopus Q3
URI(1): http://epub.vgu.edu.vn/handle/dlibvgu/60
DOI: 10.1007/s40306-019-00331-8
Appears in Collections:ARTICLE/BOOK PUBLICATION

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