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
Li, Jiajie; Zhu, Shengfeng; Shen, Xiaoqin On mixed finite element approximations of shape gradients in shape optimization with the Navier-Stokes equation. (English) Zbl 07776976 Numer. Methods Partial Differ. Equations 39, No. 2, 1604-1634 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1604--1634 (2023; Zbl 07776976) Full Text: DOI
Gao, Yali; He, Xiaoming; Nie, Yufeng Second-order, fully decoupled, linearized, and unconditionally stable scalar auxiliary variable schemes for Cahn-Hilliard-Darcy system. (English) Zbl 07779674 Numer. Methods Partial Differ. Equations 38, No. 6, 1658-1683 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76T06 76S05 76D27 35R09 35Q35 PDFBibTeX XMLCite \textit{Y. Gao} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1658--1683 (2022; Zbl 07779674) Full Text: DOI
Kovács, Balázs; Power Guerra, Christian Andreas Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces. (English) Zbl 1351.65065 Numer. Methods Partial Differ. Equations 32, No. 4, 1200-1231 (2016). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M15 35K59 65L06 PDFBibTeX XMLCite \textit{B. Kovács} and \textit{C. A. Power Guerra}, Numer. Methods Partial Differ. Equations 32, No. 4, 1200--1231 (2016; Zbl 1351.65065) Full Text: DOI arXiv
Nürnberg, Robert; Tucker, Edward J. W. Finite element approximation of a phase field model arising in nanostructure patterning. (English) Zbl 1339.65179 Numer. Methods Partial Differ. Equations 31, No. 6, 1890-1924 (2015). Reviewer: Sarangam Majumdar (Hamburg) MSC: 65M60 35Q70 35Q35 35Q60 65M12 PDFBibTeX XMLCite \textit{R. Nürnberg} and \textit{E. J. W. Tucker}, Numer. Methods Partial Differ. Equations 31, No. 6, 1890--1924 (2015; Zbl 1339.65179) Full Text: DOI Link
Blank, Luise; Garcke, Harald; Sarbu, Lavinia; Styles, Vanessa Primal-dual active set methods for Allen-Cahn variational inequalities with nonlocal constraints. (English) Zbl 1272.65060 Numer. Methods Partial Differ. Equations 29, No. 3, 999-1030 (2013). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K15 49J40 49M37 PDFBibTeX XMLCite \textit{L. Blank} et al., Numer. Methods Partial Differ. Equations 29, No. 3, 999--1030 (2013; Zbl 1272.65060) Full Text: DOI Link
Minjeaud, Sebastian An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model. (English) Zbl 1364.76091 Numer. Methods Partial Differ. Equations 29, No. 2, 584-618 (2013). MSC: 76M10 65M60 65M12 PDFBibTeX XMLCite \textit{S. Minjeaud}, Numer. Methods Partial Differ. Equations 29, No. 2, 584--618 (2013; Zbl 1364.76091) Full Text: DOI
van der Zee, Kristoffer G.; Oden, J. Tinsley; Prudhomme, Serge; Hawkins-Daarud, Andrea Goal-oriented error estimation for Cahn–Hilliard models of binary phase transition. (English) Zbl 1428.35398 Numer. Methods Partial Differ. Equations 27, No. 1, 160-196 (2011). MSC: 35Q35 65M15 65M60 PDFBibTeX XMLCite \textit{K. G. van der Zee} et al., Numer. Methods Partial Differ. Equations 27, No. 1, 160--196 (2011; Zbl 1428.35398) 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