Shapeev, Vasiliĭ Pavlovich; Bryndin, Luka Sergeevich; Belyaev, Vasiliĭ Alekseevich The \(hp\)-version of the least-squares collocation method with integral collocation for solving a biharmonic equation. (Russian. English summary) Zbl 1513.65487 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 26, No. 3, 556-572 (2022). MSC: 65N35 65K10 65M50 65F08 65F10 65F20 65M12 31A30 35J48 74K10 PDFBibTeX XMLCite \textit{V. P. Shapeev} et al., Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 26, No. 3, 556--572 (2022; Zbl 1513.65487) Full Text: DOI MNR
Belyaev, V. A.; Bryndin, L. S.; Golushko, S. K.; Semisalov, B. V.; Shapeev, V. P. \(h\)-, \(p\)-, and \(hp\)-versions of the least-squares collocation method for solving boundary value problems for biharmonic equation in irregular domains and their applications. (English. Russian original) Zbl 1492.65338 Comput. Math. Math. Phys. 62, No. 4, 517-537 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 4, 531-552 (2022). MSC: 65N35 65N12 65N55 31A30 74K20 35Q74 PDFBibTeX XMLCite \textit{V. A. Belyaev} et al., Comput. Math. Math. Phys. 62, No. 4, 517--537 (2022; Zbl 1492.65338); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 4, 531--552 (2022) Full Text: DOI
Xie, Yaning; Ying, Wenjun; Wang, Wei-Cheng A high-order kernel-free boundary integral method for the biharmonic equation on irregular domains. (English) Zbl 1428.65103 J. Sci. Comput. 80, No. 3, 1681-1699 (2019). MSC: 65N38 31A30 65N06 65T50 PDFBibTeX XMLCite \textit{Y. Xie} et al., J. Sci. Comput. 80, No. 3, 1681--1699 (2019; Zbl 1428.65103) Full Text: DOI
Jiang, Ying; Wang, Bo; Xu, Yuesheng A fully discrete fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation. (English) Zbl 1401.31011 J. Sci. Comput. 76, No. 3, 1594-1632 (2018). MSC: 31A30 31A25 65N30 PDFBibTeX XMLCite \textit{Y. Jiang} et al., J. Sci. Comput. 76, No. 3, 1594--1632 (2018; Zbl 1401.31011) Full Text: DOI