Bao, Weizhu; Garcke, Harald; Nürnberg, Robert; Zhao, Quan A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. (English) Zbl 07779730 Numer. Methods Partial Differ. Equations 39, No. 1, 759-794 (2023). MSC: 65M60 65M06 65N30 53A10 49Q10 49Q05 49Q20 35A15 PDFBibTeX XMLCite \textit{W. Bao} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 759--794 (2023; Zbl 07779730) Full Text: DOI arXiv OA License
Styles, Vanessa; Van Yperen, James Numerical analysis for a system coupling curve evolution attached orthogonally to a fixed boundary, to a reaction-diffusion equation on the curve. (English) Zbl 07779703 Numer. Methods Partial Differ. Equations 39, No. 1, 133-162 (2023). MSC: 65M60 65D17 53C10 65M12 65M15 PDFBibTeX XMLCite \textit{V. Styles} and \textit{J. Van Yperen}, Numer. Methods Partial Differ. Equations 39, No. 1, 133--162 (2023; Zbl 07779703) Full Text: DOI arXiv OA License
Kovács, Balázs Computing arbitrary Lagrangian Eulerian maps for evolving surfaces. (English) Zbl 1418.65176 Numer. Methods Partial Differ. Equations 35, No. 3, 1093-1112 (2019). MSC: 65N30 65M06 65M50 65L80 65L06 PDFBibTeX XMLCite \textit{B. Kovács}, Numer. Methods Partial Differ. Equations 35, No. 3, 1093--1112 (2019; Zbl 1418.65176) Full Text: DOI arXiv
Bhandari, Chandi; Hoppe, Ronald H. W.; Kumar, Rahul A \(\mathrm{C}^0\) interior penalty discontinuous Galerkin method for fourth-order total variation flow. I: Derivation of the method and numerical results. (English) Zbl 1416.65336 Numer. Methods Partial Differ. Equations 35, No. 4, 1458-1476 (2019). MSC: 65M60 65M06 35K41 65N30 49K20 PDFBibTeX XMLCite \textit{C. Bhandari} et al., Numer. Methods Partial Differ. Equations 35, No. 4, 1458--1476 (2019; Zbl 1416.65336) Full Text: DOI
Kovács, Balázs; Power Guerra, Christian Andreas Maximum norm stability and error estimates for the evolving surface finite element method. (English) Zbl 1390.65111 Numer. Methods Partial Differ. Equations 34, No. 2, 518-554 (2018). MSC: 65M60 58J35 65M15 PDFBibTeX XMLCite \textit{B. Kovács} and \textit{C. A. Power Guerra}, Numer. Methods Partial Differ. Equations 34, No. 2, 518--554 (2018; Zbl 1390.65111) Full Text: DOI arXiv
Kubacki, Michaela Uncoupling evolutionary groundwater-surface water flows using the Crank-Nicolson leapfrog method. (English) Zbl 1312.76043 Numer. Methods Partial Differ. Equations 29, No. 4, 1192-1216 (2013). MSC: 76M20 65M06 65M12 76D05 76S05 PDFBibTeX XMLCite \textit{M. Kubacki}, Numer. Methods Partial Differ. Equations 29, No. 4, 1192--1216 (2013; Zbl 1312.76043) Full Text: DOI
Barrett, John W.; Garcke, Harald; Nürnberg, Robert The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. (English) Zbl 1218.65105 Numer. Methods Partial Differ. Equations 27, No. 1, 1-30 (2011). Reviewer: Juan Monterde (Burjasot) MSC: 65M60 65M50 65M12 35K55 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Numer. Methods Partial Differ. Equations 27, No. 1, 1--30 (2011; Zbl 1218.65105) Full Text: DOI Link
Girault, V.; López, H.; Maury, B. One time-step finite element discretization of the equation of motion of two-fluid flows. (English) Zbl 1089.76032 Numer. Methods Partial Differ. Equations 22, No. 3, 680-707 (2006). MSC: 76M10 76T10 76D05 76D45 65M12 65M60 PDFBibTeX XMLCite \textit{V. Girault} et al., Numer. Methods Partial Differ. Equations 22, No. 3, 680--707 (2006; Zbl 1089.76032) Full Text: DOI
Eshraghi, Hossein; Dravinski, Marijan Scattering of elastic waves by nonaxisymmetric three-dimensional dipping layer. (English) Zbl 0678.73026 Numer. Methods Partial Differ. Equations 5, No. 4, 327-345 (1989). MSC: 74J20 74J15 74J10 65M99 65N99 PDFBibTeX XMLCite \textit{H. Eshraghi} and \textit{M. Dravinski}, Numer. Methods Partial Differ. Equations 5, No. 4, 327--345 (1989; Zbl 0678.73026) Full Text: DOI