On the Uniform Convergence of Approximations to the Tangential and Normal Derivatives of the Single-Layer Potential Near the Boundary of a Two-Dimensional Domain
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Published:2024-07
Issue:7
Volume:64
Page:1504-1522
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ISSN:0965-5425
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Container-title:Computational Mathematics and Mathematical Physics
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language:en
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Short-container-title:Comput. Math. and Math. Phys.
Publisher
Pleiades Publishing Ltd
Reference26 articles.
1. C. A. Brebbia, J. C. F. Telles, and L. C. Wrobel, Boundary Element Techniques: Theory and Applications in Engineering (Springer-Verlag, Berlin, 1984).
2. I. S. Berezin and N. P. Zhidkov, Computing Methods (Fizmatgiz, Moscow, 1962; Pergamon, Oxford, 1965).
3. X. W. Gao, K. Yang, and J. Wang, “An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals,” Eng. Anal. Bound. Elem. 32 (8), 692–696 (2008).
4. P. A. Krutitskii, A. D. Fedotova, and V. V. Kolybasova, “Quadrature formula for the simple layer potential,” Differ. Equations 55 (9), 1226–1241 (2019).
5. P. A. Krutitskii and I. O. Reznichenko, “Improved quadrature formula for a single-layer potential,” Comput. Math. Math. Phys. 63 (2), 187–201 (2023).