VGU RESEARCH REPOSITORY
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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: | https://doi.org/10.1007/s40306-019-00331-8 |
Appears in Collections: | ARTICLE/BOOK PUBLICATION |
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