Bachini, Elena; Brandner, Philip; Jankuhn, Thomas; Nestler, Michael; Praetorius, Simon; Reusken, Arnold; Voigt, Axel Diffusion of tangential tensor fields: numerical issues and influence of geometric properties. (English) Zbl 07818544 J. Numer. Math. 32, No. 1, 55-75 (2024). MSC: 65M60 65M06 65N30 58J35 35Q79 PDFBibTeX XMLCite \textit{E. Bachini} et al., J. Numer. Math. 32, No. 1, 55--75 (2024; Zbl 07818544) Full Text: DOI arXiv
Bukač, Martina; Muha, Boris; Salgado, Abner J. Analysis of a diffuse interface method for the Stokes-Darcy coupled problem. (English) Zbl 07787591 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2623-2658 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 76D07 35B45 35Q35 76M10 76M20 PDFBibTeX XMLCite \textit{M. Bukač} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2623--2658 (2023; Zbl 07787591) Full Text: DOI arXiv
Bretin, Elie; Denis, Roland; Masnou, Simon; Sengers, Arnaud; Terii, Garry A multiphase Cahn-Hilliard system with mobilities and the numerical simulation of dewetting. (English) Zbl 07737664 ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1473-1509 (2023). MSC: 76Txx PDFBibTeX XMLCite \textit{E. Bretin} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1473--1509 (2023; Zbl 07737664) Full Text: DOI arXiv
Wang, Chenxi; Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Zhang, Zhen A diffuse-domain-based numerical method for a chemotaxis-fluid model. (English) Zbl 1514.92002 Math. Models Methods Appl. Sci. 33, No. 2, 341-375 (2023). MSC: 92-08 65M85 65M06 65M08 92C17 76Z99 PDFBibTeX XMLCite \textit{C. Wang} et al., Math. Models Methods Appl. Sci. 33, No. 2, 341--375 (2023; Zbl 1514.92002) Full Text: DOI arXiv
Mo, Hanyang; Yong, Yumei; Yu, Kang; Chen, Wenqiang; Dai, Jialin; Yang, Chao An integrated lattice-Boltzmann model of immiscible two-phase flow and bulk mass transfer with Marangoni effect. (English) Zbl 07679160 J. Comput. Phys. 481, Article ID 112037, 25 p. (2023). MSC: 76Mxx 76Txx 76Dxx PDFBibTeX XMLCite \textit{H. Mo} et al., J. Comput. Phys. 481, Article ID 112037, 25 p. (2023; Zbl 07679160) Full Text: DOI
Astuto, Clarissa; Coco, Armando; Russo, Giovanni A finite-difference ghost-point multigrid method for multi-scale modelling of sorption kinetics of a surfactant past an oscillating bubble. (English) Zbl 07652780 J. Comput. Phys. 476, Article ID 111880, 22 p. (2023). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{C. Astuto} et al., J. Comput. Phys. 476, Article ID 111880, 22 p. (2023; Zbl 07652780) Full Text: DOI arXiv
Stoter, Stein K. F.; Jessen, Etienne; Niedens, Viktor; Schillinger, Dominik A DEIM driven reduced basis method for the diffuse Stokes/Darcy model coupled at parametric phase-field interfaces. (English) Zbl 1502.86003 Comput. Geosci. 26, No. 6, 1465-1502 (2022). MSC: 86-10 86A32 76S05 PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Comput. Geosci. 26, No. 6, 1465--1502 (2022; Zbl 1502.86003) Full Text: DOI arXiv
Kuzmin, Dmitri; Bäcker, Jan-Phillip An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces. (English) Zbl 07525184 J. Comput. Phys. 461, Article ID 111218, 16 p. (2022). MSC: 65Nxx 76Mxx 65Mxx PDFBibTeX XMLCite \textit{D. Kuzmin} and \textit{J.-P. Bäcker}, J. Comput. Phys. 461, Article ID 111218, 16 p. (2022; Zbl 07525184) Full Text: DOI arXiv
Bäcker, Jan-Phillip; Röger, Matthias Analysis and asymptotic reduction of a bulk-surface reaction-diffusion model of Gierer-Meinhardt type. (English) Zbl 1491.35271 Commun. Pure Appl. Anal. 21, No. 4, 1139-1155 (2022). Reviewer: Takashi Suzuki (Osaka) MSC: 35K57 35B36 35K51 58J35 92B05 PDFBibTeX XMLCite \textit{J.-P. Bäcker} and \textit{M. Röger}, Commun. Pure Appl. Anal. 21, No. 4, 1139--1155 (2022; Zbl 1491.35271) Full Text: DOI
Seirin-Lee, Sungrim The role of cytoplasmic MEX-5/6 polarity in asymmetric cell division. (English) Zbl 1466.92016 Bull. Math. Biol. 83, No. 4, Paper No. 29, 27 p. (2021). MSC: 92C15 92C37 PDFBibTeX XMLCite \textit{S. Seirin-Lee}, Bull. Math. Biol. 83, No. 4, Paper No. 29, 27 p. (2021; Zbl 1466.92016) Full Text: DOI
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
Liu, Haihu; Zhang, Jinggang; Ba, Yan; Wang, Ningning; Wu, Lei Modelling a surfactant-covered droplet on a solid surface in three-dimensional shear flow. (English) Zbl 1460.76270 J. Fluid Mech. 897, Paper No. A33, 31 p. (2020). MSC: 76D45 76M28 76R05 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Fluid Mech. 897, Paper No. A33, 31 p. (2020; Zbl 1460.76270) Full Text: DOI
Wang, Siwen; Lee, Arum; Alexov, Emil; Zhao, Shan A regularization approach for solving Poisson’s equation with singular charge sources and diffuse interfaces. (English) Zbl 1440.35048 Appl. Math. Lett. 102, Article ID 106144, 7 p. (2020). MSC: 35J05 35J08 PDFBibTeX XMLCite \textit{S. Wang} et al., Appl. Math. Lett. 102, Article ID 106144, 7 p. (2020; Zbl 1440.35048) Full Text: DOI arXiv
Mohammadi, Vahid; Dehghan, Mehdi A meshless technique based on generalized moving least squares combined with the second-order semi-implicit backward differential formula for numerically solving time-dependent phase field models on the spheres. (English) Zbl 1433.82023 Appl. Numer. Math. 153, 248-275 (2020). MSC: 82M20 35Q82 82C26 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Appl. Numer. Math. 153, 248--275 (2020; Zbl 1433.82023) Full Text: DOI
Höllbacher, Susanne; Wittum, Gabriel Rotational test spaces for a fully-implicit FVM and FEM for the DNS of fluid-particle interaction. (English) Zbl 1452.76117 J. Comput. Phys. 393, 186-213 (2019). MSC: 76M12 76M10 76T20 65M08 65M60 65M12 76D05 PDFBibTeX XMLCite \textit{S. Höllbacher} and \textit{G. Wittum}, J. Comput. Phys. 393, 186--213 (2019; Zbl 1452.76117) Full Text: DOI
Valizadeh, Navid; Rabczuk, Timon Isogeometric analysis for phase-field models of geometric PDEs and high-order PDEs on stationary and evolving surfaces. (English) Zbl 1441.65023 Comput. Methods Appl. Mech. Eng. 351, 599-642 (2019). MSC: 65D17 65M60 35K55 65D07 PDFBibTeX XMLCite \textit{N. Valizadeh} and \textit{T. Rabczuk}, Comput. Methods Appl. Mech. Eng. 351, 599--642 (2019; Zbl 1441.65023) Full Text: DOI
Dunbar, Oliver R. A.; Lam, Kei Fong; Stinner, Björn Phase field modelling of surfactants in multi-phase flow. (English) Zbl 1431.35255 Interfaces Free Bound. 21, No. 4, 495-547 (2019). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35R37 76T30 35R01 35C20 76D45 PDFBibTeX XMLCite \textit{O. R. A. Dunbar} et al., Interfaces Free Bound. 21, No. 4, 495--547 (2019; Zbl 1431.35255) Full Text: DOI arXiv
Deckelnick, Klaus; Elliott, Charles M.; Miura, Tatsu-Hiko; Styles, Vanessa Hamilton-Jacobi equations on an evolving surface. (English) Zbl 1426.65134 Math. Comput. 88, No. 320, 2635-2664 (2019). Reviewer: Victor Michel-Dansac (Toulouse) MSC: 65M08 35F21 35D40 65M12 65M15 65M06 PDFBibTeX XMLCite \textit{K. Deckelnick} et al., Math. Comput. 88, No. 320, 2635--2664 (2019; Zbl 1426.65134) Full Text: DOI arXiv
Chen, Ying; Lowengrub, John S. Tumor growth and calcification in evolving microenvironmental geometries. (English) Zbl 1406.92287 J. Theor. Biol. 463, 138-154 (2019). MSC: 92C50 92C37 35Q92 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. S. Lowengrub}, J. Theor. Biol. 463, 138--154 (2019; Zbl 1406.92287) Full Text: DOI Link
Abels, Helmut; Garcke, Harald; Weber, Josef Existence of weak solutions for a diffuse interface model for two-phase flow with surfactants. (English) Zbl 1404.35340 Commun. Pure Appl. Anal. 18, No. 1, 195-225 (2019). MSC: 35Q35 76T99 35Q30 35R35 76D05 76D45 35A01 35D30 65M06 PDFBibTeX XMLCite \textit{H. Abels} et al., Commun. Pure Appl. Anal. 18, No. 1, 195--225 (2019; Zbl 1404.35340) Full Text: DOI arXiv
Titta, A.; Le Merrer, Marie; Detcheverry, F.; Spelt, P. D. M.; Biance, A.-L. Level-set simulations of a 2D topological rearrangement in a bubble assembly: effects of surfactant properties. (English) Zbl 1419.76643 J. Fluid Mech. 838, 222-247 (2018). MSC: 76T10 76M25 PDFBibTeX XMLCite \textit{A. Titta} et al., J. Fluid Mech. 838, 222--247 (2018; Zbl 1419.76643) Full Text: DOI HAL
Liu, Haihu; Ba, Yan; Wu, Lei; Li, Zhen; Xi, Guang; Zhang, Yonghao A hybrid lattice Boltzmann and finite difference method for droplet dynamics with insoluble surfactants. (English) Zbl 1419.76521 J. Fluid Mech. 837, 381-412 (2018). MSC: 76M28 76M20 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Fluid Mech. 837, 381--412 (2018; Zbl 1419.76521) Full Text: DOI
Hausberg, Stephan; Röger, Matthias Well-posedness and fast-diffusion limit for a bulk-surface reaction-diffusion system. (English) Zbl 1393.35085 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 3, Paper No. 17, 32 p. (2018). MSC: 35K51 35R01 35R35 35K20 92C37 PDFBibTeX XMLCite \textit{S. Hausberg} and \textit{M. Röger}, NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 3, Paper No. 17, 32 p. (2018; Zbl 1393.35085) Full Text: DOI
Deckelnick, Klaus; Styles, Vanessa Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface. (English) Zbl 1397.65184 Numer. Math. 139, No. 3, 709-741 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M15 58J32 PDFBibTeX XMLCite \textit{K. Deckelnick} and \textit{V. Styles}, Numer. Math. 139, No. 3, 709--741 (2018; Zbl 1397.65184) Full Text: DOI arXiv
Chernyshenko, Alexey Y.; Olshanskii, Maxim A.; Vassilevski, Yuri V. A hybrid finite volume – finite element method for bulk-surface coupled problems. (English) Zbl 1375.76098 J. Comput. Phys. 352, 516-533 (2018). MSC: 76M12 76M10 76S05 65M08 65M06 PDFBibTeX XMLCite \textit{A. Y. Chernyshenko} et al., J. Comput. Phys. 352, 516--533 (2018; Zbl 1375.76098) Full Text: DOI arXiv
Shi, Weidong; Xu, Jianjun; Shu, Shi An adaptive semi-Lagrangian level-set method for convection-diffusion equations on evolving interfaces. (English) Zbl 1488.65285 Adv. Appl. Math. Mech. 9, No. 6, 1364-1382 (2017). MSC: 65M06 65M20 76M20 PDFBibTeX XMLCite \textit{W. Shi} et al., Adv. Appl. Math. Mech. 9, No. 6, 1364--1382 (2017; Zbl 1488.65285) Full Text: DOI
Stoter, Stein K. F.; Müller, Peter; Cicalese, Luca; Tuveri, Massimiliano; Schillinger, Dominik; Hughes, Thomas J. R. A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans. (English) Zbl 1439.76184 Comput. Methods Appl. Mech. Eng. 321, 70-102 (2017). MSC: 76Z05 74F10 92C55 PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Comput. Methods Appl. Mech. Eng. 321, 70--102 (2017; Zbl 1439.76184) Full Text: DOI
Moure, Adrian; Gomez, Hector Phase-field model of cellular migration: three-dimensional simulations in fibrous networks. (English) Zbl 1439.74205 Comput. Methods Appl. Mech. Eng. 320, 162-197 (2017). MSC: 74L15 PDFBibTeX XMLCite \textit{A. Moure} and \textit{H. Gomez}, Comput. Methods Appl. Mech. Eng. 320, 162--197 (2017; Zbl 1439.74205) Full Text: DOI
Abels, Helmut; Garcke, Harald; Lam, Kei Fong; Weber, Josef Two-phase flow with surfactants: diffuse interface models and their analysis. (English) Zbl 1391.76766 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, 255-270 (2017). MSC: 76T10 76M45 35Q35 PDFBibTeX XMLCite \textit{H. Abels} et al., in: Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer. 255--270 (2017; Zbl 1391.76766) Full Text: DOI arXiv
Cleret de Langavant, Charles; Guittet, Arthur; Theillard, Maxime; Temprano-Coleto, Fernando; Gibou, Frédéric Level-set simulations of soluble surfactant driven flows. (English) Zbl 1380.76079 J. Comput. Phys. 348, 271-297 (2017). MSC: 76M20 76D45 76D05 PDFBibTeX XMLCite \textit{C. Cleret de Langavant} et al., J. Comput. Phys. 348, 271--297 (2017; Zbl 1380.76079) Full Text: DOI
Hansbo, Peter; Larson, Mats G.; Zahedi, Sara A cut finite element method for coupled bulk-surface problems on time-dependent domains. (English) Zbl 1436.76025 Comput. Methods Appl. Mech. Eng. 307, 96-116 (2016). MSC: 76M10 65M60 74A50 PDFBibTeX XMLCite \textit{P. Hansbo} et al., Comput. Methods Appl. Mech. Eng. 307, 96--116 (2016; Zbl 1436.76025) Full Text: DOI arXiv
Pan, K.-L.; Tseng, Y.-H.; Chen, J.-C.; Huang, K.-L.; Wang, C.-H.; Lai, M.-C. Controlling droplet bouncing and coalescence with surfactant. (English) Zbl 1460.76797 J. Fluid Mech. 799, 603-636 (2016). MSC: 76T10 PDFBibTeX XMLCite \textit{K. L. Pan} et al., J. Fluid Mech. 799, 603--636 (2016; Zbl 1460.76797) Full Text: DOI
Reuther, Sebastian; Voigt, Axel Incompressible two-phase flows with an inextensible Newtonian fluid interface. (English) Zbl 1351.76326 J. Comput. Phys. 322, 850-858 (2016). MSC: 76Z05 65M60 76M10 92-08 92C37 PDFBibTeX XMLCite \textit{S. Reuther} and \textit{A. Voigt}, J. Comput. Phys. 322, 850--858 (2016; Zbl 1351.76326) Full Text: DOI
Lowengrub, John; Allard, Jun; Aland, Sebastian Numerical simulation of endocytosis: viscous flow driven by membranes with non-uniformly distributed curvature-inducing molecules. (English) Zbl 1351.76067 J. Comput. Phys. 309, 112-128 (2016). MSC: 76M10 65M60 92-08 76Z05 92C35 PDFBibTeX XMLCite \textit{J. Lowengrub} et al., J. Comput. Phys. 309, 112--128 (2016; Zbl 1351.76067) Full Text: DOI
van der Sman, R. G. M.; Meinders, M. B. J. Analysis of improved Lattice Boltzmann phase field method for soluble surfactants. (English) Zbl 1344.76071 Comput. Phys. Commun. 199, 12-21 (2016). MSC: 76M28 PDFBibTeX XMLCite \textit{R. G. M. van der Sman} and \textit{M. B. J. Meinders}, Comput. Phys. Commun. 199, 12--21 (2016; Zbl 1344.76071) Full Text: DOI
Rätz, Andreas Diffuse-interface approximations of osmosis free boundary problems. (English) Zbl 1338.35509 SIAM J. Appl. Math. 76, No. 3, 910-929 (2016). MSC: 35R35 35K65 65N30 PDFBibTeX XMLCite \textit{A. Rätz}, SIAM J. Appl. Math. 76, No. 3, 910--929 (2016; Zbl 1338.35509) Full Text: DOI
Garcke, Harald; Kampmann, Johannes; Rätz, Andreas; Röger, Matthias A coupled surface-Cahn-Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes. (English) Zbl 1338.35222 Math. Models Methods Appl. Sci. 26, No. 6, 1149-1189 (2016). MSC: 35K51 35Q92 92C37 35R37 PDFBibTeX XMLCite \textit{H. Garcke} et al., Math. Models Methods Appl. Sci. 26, No. 6, 1149--1189 (2016; Zbl 1338.35222) Full Text: DOI
Abels, Helmut; Lam, Kei Fong; Stinner, Björn Analysis of the diffuse domain approach for a bulk-surface coupled PDE system. (English) Zbl 1326.35112 SIAM J. Math. Anal. 47, No. 5, 3687-3725 (2015). MSC: 35J25 35J50 35J70 46E35 41A30 41A60 35D30 PDFBibTeX XMLCite \textit{H. Abels} et al., SIAM J. Math. Anal. 47, No. 5, 3687--3725 (2015; Zbl 1326.35112) Full Text: DOI arXiv
Rätz, Andreas Turing-type instabilities in bulk-surface reaction-diffusion systems. (English) Zbl 1402.92156 J. Comput. Appl. Math. 289, 142-152 (2015). MSC: 92C37 92C40 35K57 35Q92 PDFBibTeX XMLCite \textit{A. Rätz}, J. Comput. Appl. Math. 289, 142--152 (2015; Zbl 1402.92156) Full Text: DOI
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
Engwer, Christian; Westerheide, Sebastian Heterogeneous coupling for implicitly described domains. (English) Zbl 1382.65313 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 809-817 (2014). MSC: 65M60 35K20 65M20 65M55 65D18 PDFBibTeX XMLCite \textit{C. Engwer} and \textit{S. Westerheide}, Lect. Notes Comput. Sci. Eng. 98, 809--817 (2014; Zbl 1382.65313) Full Text: DOI
Aland, Sebastian; Egerer, Sabine; Lowengrub, John; Voigt, Axel Diffuse interface models of locally inextensible vesicles in a viscous fluid. (English) Zbl 1349.76933 J. Comput. Phys. 277, 32-47 (2014). MSC: 76Z05 76M10 65M60 76D05 92C35 PDFBibTeX XMLCite \textit{S. Aland} et al., J. Comput. Phys. 277, 32--47 (2014; Zbl 1349.76933) Full Text: DOI arXiv Link
Xu, Jian-Jun; Ren, Weiqing A level-set method for two-phase flows with moving contact line and insoluble surfactant. (English) Zbl 1349.76554 J. Comput. Phys. 263, 71-90 (2014). MSC: 76M20 65M06 76Txx PDFBibTeX XMLCite \textit{J.-J. Xu} and \textit{W. Ren}, J. Comput. Phys. 263, 71--90 (2014; Zbl 1349.76554) Full Text: DOI
Chen, Kuan-Yu; Lai, Ming-Chih A conservative scheme for solving coupled surface-bulk convection-diffusion equations with an application to interfacial flows with soluble surfactant. (English) Zbl 1349.35180 J. Comput. Phys. 257, Part A, 1-18 (2014). MSC: 35K57 76Z05 92C37 PDFBibTeX XMLCite \textit{K.-Y. Chen} and \textit{M.-C. Lai}, J. Comput. Phys. 257, Part A, 1--18 (2014; Zbl 1349.35180) Full Text: DOI
Chen, Ying; Lowengrub, John S. Tumor growth in complex, evolving microenvironmental geometries: a diffuse domain approach. (English) Zbl 1303.92042 J. Theor. Biol. 361, 14-30 (2014). MSC: 92C50 92C37 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. S. Lowengrub}, J. Theor. Biol. 361, 14--30 (2014; Zbl 1303.92042) Full Text: DOI Link
Marth, Wieland; Voigt, Axel Signaling networks and cell motility: a computational approach using a phase field description. (English) Zbl 1345.92033 J. Math. Biol. 69, No. 1, 91-112 (2014). MSC: 92C17 35K57 76Z10 PDFBibTeX XMLCite \textit{W. Marth} and \textit{A. Voigt}, J. Math. Biol. 69, No. 1, 91--112 (2014; Zbl 1345.92033) Full Text: DOI
Macdonald, Colin B.; Merriman, Barry; Ruuth, Steven J. Simple computation of reaction-diffusion processes on point clouds. (English) Zbl 1292.65093 Proc. Natl. Acad. Sci. USA 110, No. 23, 9209-9214 (2013). MSC: 65M06 35K57 PDFBibTeX XMLCite \textit{C. B. Macdonald} et al., Proc. Natl. Acad. Sci. USA 110, No. 23, 9209--9214 (2013; Zbl 1292.65093) Full Text: DOI
Blank, Luise; Garcke, Harald; Sarbu, Lavinia; Srisupattarawanit, Tarin; Styles, Vanessa; Voigt, Axel Phase-field approaches to structural topology optimization. (English) Zbl 1356.49044 Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 245-256 (2012). MSC: 49M25 74P15 74P05 74S30 35K99 PDFBibTeX XMLCite \textit{L. Blank} et al., ISNM, Int. Ser. Numer. Math. 160, 245--256 (2012; Zbl 1356.49044) Full Text: DOI Link
Aland, Sebastian; Lowengrub, John; Voigt, Axel A continuum model of colloid-stabilized interfaces. (English) Zbl 1308.76159 Phys. Fluids 23, No. 6, Paper No. 062103, 12 p. (2011). MSC: 76M10 76T20 76D45 PDFBibTeX XMLCite \textit{S. Aland} et al., Phys. Fluids 23, No. 6, Paper No. 062103, 12 p. (2011; Zbl 1308.76159) Full Text: DOI Link
Leung, Shingyu; Lowengrub, John; Zhao, Hongkai A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. (English) Zbl 1316.65089 J. Comput. Phys. 230, No. 7, 2540-2561 (2011). MSC: 65M75 35K55 65D17 76M25 PDFBibTeX XMLCite \textit{S. Leung} et al., J. Comput. Phys. 230, No. 7, 2540--2561 (2011; Zbl 1316.65089) Full Text: DOI
Teigen, Knut Erik; Song, Peng; Lowengrub, John; Voigt, Axel A diffuse-interface method for two-phase flows with soluble surfactants. (English) Zbl 1428.76210 J. Comput. Phys. 230, No. 2, 375-393 (2011). MSC: 76T06 76D05 76D45 76M20 PDFBibTeX XMLCite \textit{K. E. Teigen} et al., J. Comput. Phys. 230, No. 2, 375--393 (2011; Zbl 1428.76210) Full Text: DOI Link