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https://dspace.ctu.edu.vn/jspui/handle/123456789/71585
Title: | A Posteriori error estimates for hypersingular integral equation on spheres with spherical splines |
Authors: | Pham, Duong Thanh Le, Tung |
Keywords: | Hypersingular integral equation Spherical spline A posteriori error estimate Adaptivity |
Issue Date: | 2020 |
Series/Report no.: | Acta Mathematica Vietnamica;Vol.45_No.03 .- P.661-692 |
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. |
URI: | https://dspace.ctu.edu.vn/jspui/handle/123456789/71585 |
ISSN: | 0251-4184 |
Appears in Collections: | Acta Mathematica Vietnamica |
Files in This Item:
File | Description | Size | Format | |
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_file_ Restricted Access | 4.85 MB | Adobe PDF | ||
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