Yu, Fei; Guo, Zhenlin; Lowengrub, John Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries. (English) Zbl 1453.65306 J. Comput. Phys. 406, Article ID 109174, 34 p. (2020). MSC: 65M55 65N55 65M50 65N50 35J05 92C35 PDFBibTeX XMLCite \textit{F. Yu} et al., J. Comput. Phys. 406, Article ID 109174, 34 p. (2020; Zbl 1453.65306) Full Text: DOI arXiv
Blank, Luise; Garcke, Harald; Farshbaf-Shaker, M. Hassan; Styles, Vanessa Relating phase field and sharp interface approaches to structural topology optimization. (English) Zbl 1301.49113 ESAIM, Control Optim. Calc. Var. 20, No. 4, 1025-1058 (2014). MSC: 49Q10 49Q20 74P10 74P05 65M60 PDFBibTeX XMLCite \textit{L. Blank} et al., ESAIM, Control Optim. Calc. Var. 20, No. 4, 1025--1058 (2014; Zbl 1301.49113) Full Text: DOI Link
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A. Solving PDEs in complex geometries: a diffuse domain approach. (English) Zbl 1178.35027 Commun. Math. Sci. 7, No. 1, 81-107 (2009). MSC: 35A35 35B40 35K57 65Mxx 82C24 PDFBibTeX XMLCite \textit{X. Li} et al., Commun. Math. Sci. 7, No. 1, 81--107 (2009; Zbl 1178.35027) Full Text: DOI
Rätz, Andreas Modelling and numerical treatment of diffuse-interface models with applications in epitaxial growth. (English) Zbl 1151.74003 Bonner Mathematische Schriften 385. Bonn: Univ. Bonn, Mathematisches Institut (Dissertation). vi, 94 p. (2007). MSC: 74-02 74K35 74A50 74S05 82B24 PDFBibTeX XMLCite \textit{A. Rätz}, Modelling and numerical treatment of diffuse-interface models with applications in epitaxial growth. Bonn: Univ. Bonn, Mathematisches Institut (Dissertation) (2007; Zbl 1151.74003)