VGU RESEARCH REPOSITORY
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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: | https://doi.org/10.1016/j.camwa.2017.07.003 |
Appears in Collections: | ARTICLE/BOOK PUBLICATION |
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