Deckelnick, Klaus; Nürnberg, Robert A novel finite element approximation of anisotropic curve shortening flow. (English) Zbl 07798939 Interfaces Free Bound. 25, No. 4, 671-708 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 35K15 53A04 53E10 53C60 35R01 PDFBibTeX XMLCite \textit{K. Deckelnick} and \textit{R. Nürnberg}, Interfaces Free Bound. 25, No. 4, 671--708 (2023; Zbl 07798939) Full Text: DOI arXiv
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
Deckelnick, Klaus; Nürnberg, Robert Discrete hyperbolic curvature flow in the plane. (English) Zbl 1522.65139 SIAM J. Numer. Anal. 61, No. 4, 1835-1857 (2023). MSC: 65M06 65N06 65M12 65M15 53E10 35L70 74F10 PDFBibTeX XMLCite \textit{K. Deckelnick} and \textit{R. Nürnberg}, SIAM J. Numer. Anal. 61, No. 4, 1835--1857 (2023; Zbl 1522.65139) Full Text: DOI arXiv
Nürnberg, Robert A structure preserving front tracking finite element method for the Mullins-Sekerka problem. (English) Zbl 07711459 J. Numer. Math. 31, No. 2, 137-155 (2023). MSC: 65Nxx 65Mxx PDFBibTeX XMLCite \textit{R. Nürnberg}, J. Numer. Math. 31, No. 2, 137--155 (2023; Zbl 07711459) Full Text: DOI arXiv
Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Signori, Andrea Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies. (English) Zbl 1511.49002 Appl. Math. Optim. 87, No. 3, Paper No. 44, 50 p. (2023). MSC: 49J20 49K40 49J50 PDFBibTeX XMLCite \textit{H. Garcke} et al., Appl. Math. Optim. 87, No. 3, Paper No. 44, 50 p. (2023; Zbl 1511.49002) Full Text: DOI arXiv
Garcke, Harald; Knopf, Patrik; Nürnberg, Robert; Zhao, Quan A diffuse-interface approach for solid-state dewetting with anisotropic surface energies. (English) Zbl 1510.35163 J. Nonlinear Sci. 33, No. 2, Paper No. 34, 56 p. (2023). MSC: 35K61 35K65 35C20 49J40 74E10 65M60 PDFBibTeX XMLCite \textit{H. Garcke} et al., J. Nonlinear Sci. 33, No. 2, Paper No. 34, 56 p. (2023; Zbl 1510.35163) Full Text: DOI arXiv
Bao, Weizhu; Garcke, Harald; Nürnberg, Robert; Zhao, Quan Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. (English) Zbl 07525159 J. Comput. Phys. 460, Article ID 111180, 23 p. (2022). MSC: 65Mxx 35Kxx 53Cxx PDFBibTeX XMLCite \textit{W. Bao} et al., J. Comput. Phys. 460, Article ID 111180, 23 p. (2022; Zbl 07525159) Full Text: DOI arXiv
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Finite element methods for fourth order axisymmetric geometric evolution equations. (English) Zbl 1416.65334 J. Comput. Phys. 376, 733-766 (2019). MSC: 65M60 35B06 53C44 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., J. Comput. Phys. 376, 733--766 (2019; Zbl 1416.65334) Full Text: DOI arXiv
Barrett, John. W.; Garcke, Harald; Nürnberg, Robert On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. (English) Zbl 1427.74161 ZAMM, Z. Angew. Math. Mech. 93, No. 10-11, 719-732 (2013). MSC: 74S05 74E15 65M12 PDFBibTeX XMLCite \textit{John. W. Barrett} et al., ZAMM, Z. Angew. Math. Mech. 93, No. 10--11, 719--732 (2013; Zbl 1427.74161) Full Text: DOI arXiv
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering. (English) Zbl 1410.80015 Eur. J. Appl. Math. 21, No. 6, 519-556 (2010). MSC: 80M10 65N12 65N30 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Eur. J. Appl. Math. 21, No. 6, 519--556 (2010; Zbl 1410.80015) Full Text: DOI
Barrett, John W.; Garcke, Harald; Nürnberg, Robert On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. (English) Zbl 1201.80075 J. Comput. Phys. 229, No. 18, 6270-6299 (2010). Reviewer: Pavol Chocholatý (Bratislava) MSC: 80M10 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., J. Comput. Phys. 229, No. 18, 6270--6299 (2010; Zbl 1201.80075) Full Text: DOI
Nürnberg, Robert Numerical simulations of immiscible fluid clusters. (English) Zbl 1162.76030 Appl. Numer. Math. 59, No. 7, 1612-1628 (2009). MSC: 76M10 76R10 76T10 PDFBibTeX XMLCite \textit{R. Nürnberg}, Appl. Numer. Math. 59, No. 7, 1612--1628 (2009; Zbl 1162.76030) Full Text: DOI Link
Barrett, John W.; Garcke, Harald; Nürnberg, Robert On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\). (English) Zbl 1145.65068 J. Comput. Phys. 227, No. 9, 4281-4307 (2008). Reviewer: Marius Ghergu (Slatina) MSC: 65M60 65M12 35K55 53C44 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., J. Comput. Phys. 227, No. 9, 4281--4307 (2008; Zbl 1145.65068) Full Text: DOI
Barrett, John W.; Garcke, Harald; Nürnberg, Robert A variational formulation of anisotropic geometric evolution equations in higher dimensions. (English) Zbl 1149.65082 Numer. Math. 109, No. 1, 1-44 (2008). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65M60 65M12 35K55 53C44 74E10 74E15 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Numer. Math. 109, No. 1, 1--44 (2008; Zbl 1149.65082) Full Text: DOI Link