Lu, Song; Xu, Xianmin Numerical investigations on trace finite element methods for the Laplace-Beltrami eigenvalue problem. (English) Zbl 1522.65194 J. Sci. Comput. 97, No. 1, Paper No. 12, 31 p. (2023). MSC: 65N25 65N30 65F15 65F22 47A55 15A18 58J50 PDFBibTeX XMLCite \textit{S. Lu} and \textit{X. Xu}, J. Sci. Comput. 97, No. 1, Paper No. 12, 31 p. (2023; Zbl 1522.65194) Full Text: DOI arXiv
León-Velasco, D. Assaely; Chacón-Acosta, Guillermo Full finite element scheme for reaction-diffusion systems on embedded curved surfaces in \(\mathbb{R}^3\). (English) Zbl 1481.65185 Adv. Math. Phys. 2021, Article ID 8898484, 16 p. (2021). MSC: 65M60 35K57 PDFBibTeX XMLCite \textit{D. A. León-Velasco} and \textit{G. Chacón-Acosta}, Adv. Math. Phys. 2021, Article ID 8898484, 16 p. (2021; Zbl 1481.65185) Full Text: DOI
Kao, Chiu-Yen; Lai, Rongjie; Osting, Braxton Maximization of Laplace-Beltrami eigenvalues on closed Riemannian surfaces. (English) Zbl 1362.35199 ESAIM, Control Optim. Calc. Var. 23, No. 2, 685-720 (2017). MSC: 35P15 49Q10 65N25 58J50 58C40 35A15 35R01 PDFBibTeX XMLCite \textit{C.-Y. Kao} et al., ESAIM, Control Optim. Calc. Var. 23, No. 2, 685--720 (2017; Zbl 1362.35199) Full Text: DOI arXiv
Velasco, D. Assaely León; Glowinski, Roland; Valencia, L. Héctor Juárez On the controllability of diffusion processes on a sphere: a numerical study. (English) Zbl 1353.49042 ESAIM, Control Optim. Calc. Var. 22, No. 4, 1054-1077 (2016). MSC: 49M25 93B05 49K20 65K10 65M60 93C20 58E25 PDFBibTeX XMLCite \textit{D. A. L. Velasco} et al., ESAIM, Control Optim. Calc. Var. 22, No. 4, 1054--1077 (2016; Zbl 1353.49042) Full Text: DOI
Bonito, Andrea; Glowinski, Roland On the nodal set of the eigenfunctions of the Laplace-Beltrami operator for bounded surfaces in \(\mathbb R^3\): a computational approach. (English) Zbl 1304.65244 Commun. Pure Appl. Anal. 13, No. 5, 2115-2126 (2014). MSC: 65N25 35P15 65N30 58J05 PDFBibTeX XMLCite \textit{A. Bonito} and \textit{R. Glowinski}, Commun. Pure Appl. Anal. 13, No. 5, 2115--2126 (2014; Zbl 1304.65244) Full Text: DOI
Piret, Cécile The orthogonal gradients method: a radial basis functions method for solving partial differential equations on arbitrary surfaces. (English) Zbl 1248.35009 J. Comput. Phys. 231, No. 14, 4662-4675 (2012). MSC: 35A35 65M06 58J05 58J35 PDFBibTeX XMLCite \textit{C. Piret}, J. Comput. Phys. 231, No. 14, 4662--4675 (2012; Zbl 1248.35009) Full Text: DOI Link
Macdonald, Colin B.; Brandman, Jeremy; Ruuth, Steven J. Solving eigenvalue problems on curved surfaces using the closest point method. (English) Zbl 1231.65205 J. Comput. Phys. 230, No. 22, 7944-7956 (2011). MSC: 65N25 65N06 35P15 58J05 PDFBibTeX XMLCite \textit{C. B. Macdonald} et al., J. Comput. Phys. 230, No. 22, 7944--7956 (2011; Zbl 1231.65205) Full Text: DOI arXiv