Garcke, Harald; Nürnberg, Robert; Zhao, Quan Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow. (English) Zbl 07801623 Comput. Math. Appl. 155, 209-223 (2024). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{H. Garcke} et al., Comput. Math. Appl. 155, 209--223 (2024; Zbl 07801623) Full Text: DOI arXiv
Garcke, Harald; Nürnberg, Robert; Zhao, Quan Unfitted finite element methods for axisymmetric two-phase flow. (English) Zbl 07742013 J. Sci. Comput. 97, No. 1, Paper No. 14, 25 p. (2023). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76T06 65N30 PDFBibTeX XMLCite \textit{H. Garcke} et al., J. Sci. Comput. 97, No. 1, Paper No. 14, 25 p. (2023; Zbl 07742013) Full Text: DOI arXiv
Garcke, Harald; Nürnberg, Robert; Zhao, Quan Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. (English) Zbl 07705917 J. Comput. Phys. 489, Article ID 112276, 24 p. (2023). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{H. Garcke} et al., J. Comput. Phys. 489, Article ID 112276, 24 p. (2023; Zbl 07705917) Full Text: DOI arXiv
Antonopoulou, Dimitra; Baňas, Ľubomír; Nürnberg, Robert; Prohl, Andreas Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit. (English) Zbl 1468.65133 Numer. Math. 147, No. 3, 505-551 (2021). MSC: 65M60 65M06 65N30 65M15 60H15 60H40 60H50 76D27 35Q35 35R60 PDFBibTeX XMLCite \textit{D. Antonopoulou} et al., Numer. Math. 147, No. 3, 505--551 (2021; Zbl 1468.65133) Full Text: DOI arXiv
Agnese, Marco; Nürnberg, Robert Fitted front tracking methods for two-phase ncompressible Navier-Stokes flow: Eulerian and ALE finite element discretizations. (English) Zbl 1471.76084 Int. J. Numer. Anal. Model. 17, No. 5, 613-642 (2020). MSC: 76T99 76M10 35Q30 65M60 76D05 PDFBibTeX XMLCite \textit{M. Agnese} and \textit{R. Nürnberg}, Int. J. Numer. Anal. Model. 17, No. 5, 613--642 (2020; Zbl 1471.76084) Full Text: arXiv Link
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Parametric finite element approximations of curvature-driven interface evolutions. (English) Zbl 1455.35185 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part I. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 21, 275-423 (2020). MSC: 35Q35 76D05 76D07 76T06 76M10 80A22 92C05 65M60 65N30 65M22 35R35 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Handb. Numer. Anal. 21, 275--423 (2020; Zbl 1455.35185) Full Text: DOI arXiv
Aland, Sebastian; Hahn, Andreas; Kahle, Christian; Nürnberg, Robert Comparative simulations of Taylor flow with surfactants based on sharp- and diffuse-interface methods. (English) Zbl 1391.76769 Bothe, Dieter (ed.) et al., Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer (ISBN 978-3-319-56601-6/hbk; 978-3-319-56602-3/ebook). Advances in Mathematical Fluid Mechanics, 639-661 (2017). MSC: 76T10 76M10 PDFBibTeX XMLCite \textit{S. Aland} et al., in: Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer. 639--661 (2017; Zbl 1391.76769) Full Text: DOI Link
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Finite element approximation for the dynamics of fluidic two-phase biomembranes. (English) Zbl 1383.35153 ESAIM, Math. Model. Numer. Anal. 51, No. 6, 2319-2366 (2017). MSC: 35Q35 65M12 65M60 76D05 76D27 76M10 76Z99 92C05 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., ESAIM, Math. Model. Numer. Anal. 51, No. 6, 2319--2366 (2017; Zbl 1383.35153) Full Text: DOI arXiv
Baňas, Ľubomír; Nürnberg, Robert Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow. (English) Zbl 1371.35212 ESAIM, Math. Model. Numer. Anal. 51, No. 3, 1089-1117 (2017). MSC: 35Q35 65M12 65M60 76D05 76M10 35D30 65H10 PDFBibTeX XMLCite \textit{Ľ. Baňas} and \textit{R. Nürnberg}, ESAIM, Math. Model. Numer. Anal. 51, No. 3, 1089--1117 (2017; Zbl 1371.35212) Full Text: DOI Link
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Finite element approximation for the dynamics of asymmetric fluidic biomembranes. (English) Zbl 1394.76064 Math. Comput. 86, No. 305, 1037-1069 (2017). MSC: 76M10 65M60 35Q35 65M12 76D05 76Z99 92C05 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Math. Comput. 86, No. 305, 1037--1069 (2017; Zbl 1394.76064) Full Text: DOI
Barrett, John W.; Garcke, Harald; Nürnberg, Robert A stable numerical method for the dynamics of fluidic membranes. (English) Zbl 1391.76298 Numer. Math. 134, No. 4, 783-822 (2016). MSC: 76M10 65M60 65M12 76Z05 92C05 35Q35 76D05 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Numer. Math. 134, No. 4, 783--822 (2016; Zbl 1391.76298) Full Text: DOI
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Stable finite element approximations of two-phase flow with soluble surfactant. (English) Zbl 1349.76175 J. Comput. Phys. 297, 530-564 (2015). MSC: 76M10 65M60 65M12 76T10 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., J. Comput. Phys. 297, 530--564 (2015; Zbl 1349.76175) Full Text: DOI Link
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid. (English) Zbl 1329.35241 Commun. Math. Sci. 13, No. 7, 1829-1874 (2015). MSC: 35Q35 65M12 76D05 76M10 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Commun. Math. Sci. 13, No. 7, 1829--1874 (2015; Zbl 1329.35241) Full Text: DOI arXiv
Barrett, John W.; Garcke, Harald; Nürnberg, Robert A stable parametric finite element discretization of two-phase Navier-Stokes flow. (English) Zbl 1320.76059 J. Sci. Comput. 63, No. 1, 78-117 (2015). MSC: 76M10 65M60 76D05 76Txx PDFBibTeX XMLCite \textit{J. W. Barrett} et al., J. Sci. Comput. 63, No. 1, 78--117 (2015; Zbl 1320.76059) Full Text: DOI arXiv
Barrett, John W.; Garcke, Harald; Nürnberg, Robert On the stable numerical approximation of two-phase flow with insoluble surfactant. (English) Zbl 1315.35156 ESAIM, Math. Model. Numer. Anal. 49, No. 2, 421-458 (2015). MSC: 35Q35 65M12 76D05 76D27 76M10 65M60 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 2, 421--458 (2015; Zbl 1315.35156) Full Text: DOI arXiv
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Stable phase field approximations of anisotropic solidification. (English) Zbl 1310.65120 IMA J. Numer. Anal. 34, No. 4, 1289-1327 (2014). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M60 35K20 65M12 76T15 76M10 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., IMA J. Numer. Anal. 34, No. 4, 1289--1327 (2014; Zbl 1310.65120) Full Text: DOI arXiv
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow. (English) Zbl 1286.76040 Comput. Methods Appl. Mech. Eng. 267, 511-530 (2013). MSC: 76D07 76M10 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Comput. Methods Appl. Mech. Eng. 267, 511--530 (2013; Zbl 1286.76040) Full Text: DOI arXiv
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Elastic flow with junctions: variational approximation and applications to nonlinear splines. (English) Zbl 1252.76038 Math. Models Methods Appl. Sci. 22, No. 11, 1250037, 57 p. (2012). MSC: 76M10 65M60 65M12 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Math. Models Methods Appl. Sci. 22, No. 11, Article ID 1250037, 57 p. (2012; Zbl 1252.76038) 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.; Nürnberg, Robert; Warner, Mark R. E. Finite element approximation of soluble surfactant spreading on a thin film. (English) Zbl 1301.76044 SIAM J. Numer. Anal. 44, No. 3, 1218-1247 (2006). MSC: 76M10 76A20 65M60 65M12 35Q35 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., SIAM J. Numer. Anal. 44, No. 3, 1218--1247 (2006; Zbl 1301.76044) Full Text: DOI Link
Barrett, J. W.; Nürnberg, R. Convergence of a finite-element approximation of surfactant spreading on a thin film in the presence of van der Waals forces. (English) Zbl 1143.76473 IMA J. Numer. Anal. 24, No. 2, 323-363 (2004). MSC: 76M10 76A20 65M60 35K55 35K65 65M12 76D08 76D45 PDFBibTeX XMLCite \textit{J. W. Barrett} and \textit{R. Nürnberg}, IMA J. Numer. Anal. 24, No. 2, 323--363 (2004; Zbl 1143.76473)
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Finite element approximation of surfactant spreading on a thin film. (English) Zbl 1130.76361 SIAM J. Numer. Anal. 41, No. 4, 1427-1464 (2003). MSC: 76M10 76A20 76D08 65M60 65M15 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., SIAM J. Numer. Anal. 41, No. 4, 1427--1464 (2003; Zbl 1130.76361) Full Text: DOI