Chun, Sehun; Marcon, Julian; Peiró, Joaquim; Sherwin, Spencer J. Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain. (English) Zbl 1507.65170 Comput. Methods Appl. Mech. Eng. 398, Article ID 115261, 24 p. (2022). MSC: 65M50 58E15 PDFBibTeX XMLCite \textit{S. Chun} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115261, 24 p. (2022; Zbl 1507.65170) Full Text: DOI
Beale, J. Thomas Solving partial differential equations on closed surfaces with planar Cartesian grids. (English) Zbl 1448.65091 SIAM J. Sci. Comput. 42, No. 2, A1052-A1070 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M50 65R20 58J35 58J45 86A05 35Q86 PDFBibTeX XMLCite \textit{J. T. Beale}, SIAM J. Sci. Comput. 42, No. 2, A1052--A1070 (2020; Zbl 1448.65091) Full Text: DOI arXiv
Beljadid, Abdelaziz; LeFloch, Philippe G.; Mohammadian, Abdolmajid Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere. (English) Zbl 1441.58015 Comput. Methods Appl. Mech. Eng. 349, 285-311 (2019). MSC: 58J70 35B40 35L65 65M08 PDFBibTeX XMLCite \textit{A. Beljadid} et al., Comput. Methods Appl. Mech. Eng. 349, 285--311 (2019; Zbl 1441.58015) Full Text: DOI
Chen, Sheng-Gwo; Wu, Jyh-Yang Discrete conservation laws on evolving surfaces. (English) Zbl 1339.65171 SIAM J. Sci. Comput. 38, No. 3, A1725-A1742 (2016). MSC: 65M60 35K05 58J35 PDFBibTeX XMLCite \textit{S.-G. Chen} and \textit{J.-Y. Wu}, SIAM J. Sci. Comput. 38, No. 3, A1725--A1742 (2016; Zbl 1339.65171) Full Text: DOI
Cotter, C. J.; Thuburn, J. A finite element exterior calculus framework for the rotating shallow-water equations. (English) Zbl 1351.76054 J. Comput. Phys. 257, Part B, 1506-1526 (2014). MSC: 76M10 65M60 58A10 76B15 PDFBibTeX XMLCite \textit{C. J. Cotter} and \textit{J. Thuburn}, J. Comput. Phys. 257, Part B, 1506--1526 (2014; Zbl 1351.76054) Full Text: DOI arXiv Link
Giesselmann, Jan; Müller, Thomas Geometric error of finite volume schemes for conservation laws on evolving surfaces. (English) Zbl 1306.65250 Numer. Math. 128, No. 3, 489-516 (2014). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M08 35L65 65M15 58J45 PDFBibTeX XMLCite \textit{J. Giesselmann} and \textit{T. Müller}, Numer. Math. 128, No. 3, 489--516 (2014; Zbl 1306.65250) Full Text: DOI arXiv
Chun, Sehun Method of moving frames to solve conservation laws on curved surfaces. (English) Zbl 1273.65138 J. Sci. Comput. 53, No. 2, 268-294 (2012); erratum ibid. 53, No. 2, 481 (2012). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 35L65 58J45 PDFBibTeX XMLCite \textit{S. Chun}, J. Sci. Comput. 53, No. 2, 268--294 (2012; Zbl 1273.65138) Full Text: DOI
Mehra, Mani; Kevlahan, Nicholas K.-R. An adaptive wavelet collocation method for the solution of partial differential equations on the sphere. (English) Zbl 1147.65080 J. Comput. Phys. 227, No. 11, 5610-5632 (2008). MSC: 65M70 35K05 35K57 35L45 58J35 58J45 PDFBibTeX XMLCite \textit{M. Mehra} and \textit{N. K. R. Kevlahan}, J. Comput. Phys. 227, No. 11, 5610--5632 (2008; Zbl 1147.65080) Full Text: DOI Link
Flyer, Natasha; Wright, Grady B. Transport schemes on a sphere using radial basis functions. (English) Zbl 1124.65097 J. Comput. Phys. 226, No. 1, 1059-1084 (2007). MSC: 65M70 58J45 35L45 76M22 86A10 PDFBibTeX XMLCite \textit{N. Flyer} and \textit{G. B. Wright}, J. Comput. Phys. 226, No. 1, 1059--1084 (2007; Zbl 1124.65097) Full Text: DOI Link