Ebenbeck, Matthias; Garcke, Harald; Nürnberg, Robert Cahn-Hilliard-Brinkman systems for tumour growth. (English) Zbl 1480.35411 Discrete Contin. Dyn. Syst., Ser. S 14, No. 11, 3989-4033 (2021). MSC: 35R35 35C20 35K35 35K57 65M60 35Q92 92C42 PDFBibTeX XMLCite \textit{M. Ebenbeck} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 11, 3989--4033 (2021; Zbl 1480.35411) Full Text: DOI arXiv
Kavallaris, Nikos I.; Barreira, Raquel; Madzvamuse, Anotida Dynamics of shadow system of a singular Gierer-Meinhardt system on an evolving domain. (English) Zbl 1462.35033 J. Nonlinear Sci. 31, No. 1, Paper No. 5, 34 p. (2021). MSC: 35B25 35B36 35B44 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{N. I. Kavallaris} et al., J. Nonlinear Sci. 31, No. 1, Paper No. 5, 34 p. (2021; Zbl 1462.35033) Full Text: DOI arXiv
Madzvamuse, Anotida; Barreira, Raquel Domain-growth-induced patterning for reaction-diffusion systems with linear cross-diffusion. (English) Zbl 1394.35242 Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2775-2801 (2018). MSC: 35K57 35B36 35R01 35R37 65M60 PDFBibTeX XMLCite \textit{A. Madzvamuse} and \textit{R. Barreira}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2775--2801 (2018; Zbl 1394.35242) Full Text: DOI
Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Sitka, Emanuel A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis. (English) Zbl 1380.92029 Math. Models Methods Appl. Sci. 28, No. 3, 525-577 (2018). MSC: 92C50 35K57 35R35 65M60 PDFBibTeX XMLCite \textit{H. Garcke} et al., Math. Models Methods Appl. Sci. 28, No. 3, 525--577 (2018; Zbl 1380.92029) Full Text: DOI arXiv
Garcke, Harald; Lam, Kei Fong; Sitka, Emanuel; Styles, Vanessa A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport. (English) Zbl 1336.92038 Math. Models Methods Appl. Sci. 26, No. 6, 1095-1148 (2016). MSC: 92C50 92C17 35K57 35R35 65M60 PDFBibTeX XMLCite \textit{H. Garcke} et al., Math. Models Methods Appl. Sci. 26, No. 6, 1095--1148 (2016; Zbl 1336.92038) Full Text: DOI arXiv
Lakkis, Omar; Makridakis, Charalambos; Pryer, Tristan A comparison of duality and energy a posteriori estimates for \(\mathrm{L}_{\infty}(0,T;\mathrm{L}_{2}(\varOmega))\) in parabolic problems. (English) Zbl 1310.65127 Math. Comput. 84, No. 294, 1537-1569 (2015). MSC: 65M60 65M15 80M10 65M50 93C40 PDFBibTeX XMLCite \textit{O. Lakkis} et al., Math. Comput. 84, No. 294, 1537--1569 (2015; Zbl 1310.65127) Full Text: DOI arXiv
Venkataraman, Chandrasekhar; Lakkis, Omar; Madzvamuse, Anotida Global existence for semilinear reaction-diffusion systems on evolving domains. (English) Zbl 1284.35232 J. Math. Biol. 64, No. 1-2, 41-67 (2012). MSC: 35K57 92C15 92B05 35A01 PDFBibTeX XMLCite \textit{C. Venkataraman} et al., J. Math. Biol. 64, No. 1--2, 41--67 (2012; Zbl 1284.35232) Full Text: DOI arXiv
Barreira, R.; Elliott, C. M.; Madzvamuse, A. The surface finite element method for pattern formation on evolving biological surfaces. (English) Zbl 1234.92007 J. Math. Biol. 63, No. 6, 1095-1119 (2011). MSC: 92C15 35K57 65M60 35K58 37N25 PDFBibTeX XMLCite \textit{R. Barreira} et al., J. Math. Biol. 63, No. 6, 1095--1119 (2011; Zbl 1234.92007) Full Text: DOI
Takaishi, Takeshi; Kimura, Masato Phase field model for mode III crack growth in two dimensional elasticity. (English) Zbl 1193.35007 Kybernetika 45, No. 4, 605-614 (2009). MSC: 35B25 35K57 74R10 65M60 35K51 35K58 PDFBibTeX XMLCite \textit{T. Takaishi} and \textit{M. Kimura}, Kybernetika 45, No. 4, 605--614 (2009; Zbl 1193.35007) Full Text: EuDML Link
Muntean, A.; Böhm, M. Interface conditions for fast-reaction fronts in wet porous mineral materials: The case of concrete carbonation. (English) Zbl 1176.76140 J. Eng. Math. 65, No. 1, 89-100 (2009). MSC: 76V05 76S05 76R50 PDFBibTeX XMLCite \textit{A. Muntean} and \textit{M. Böhm}, J. Eng. Math. 65, No. 1, 89--100 (2009; Zbl 1176.76140) Full Text: DOI
Moore, Peter K. The impact of parameter selection on the performance of an automatic adaptive code for solving reaction-diffusion equations in three dimensions. (English) Zbl 1128.65076 Numer. Algorithms 46, No. 2, 121-139 (2007). MSC: 65M20 65M60 PDFBibTeX XMLCite \textit{P. K. Moore}, Numer. Algorithms 46, No. 2, 121--139 (2007; Zbl 1128.65076) Full Text: DOI
Bermejo, R.; Carpio, J. An adaptive finite element semi-Lagrangian implicit-explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems. (English) Zbl 1128.65073 Appl. Numer. Math. 58, No. 1, 16-39 (2007). MSC: 65M20 35K57 65L06 80A25 PDFBibTeX XMLCite \textit{R. Bermejo} and \textit{J. Carpio}, Appl. Numer. Math. 58, No. 1, 16--39 (2007; Zbl 1128.65073) Full Text: DOI
Schmidt, Alfred; Siebert, Kunibert G. Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM. (English) Zbl 1068.65138 Lecture Notes in Computational Science and Engineering 42. Berlin: Springer (ISBN 3-540-22842-X/hbk). xii, 315 p. (2005). Reviewer: Christian Grossmann (Dresden) MSC: 65N30 65N50 65-02 65Y15 65M60 65M50 35J05 35K05 35K57 PDFBibTeX XMLCite \textit{A. Schmidt} and \textit{K. G. Siebert}, Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM. Berlin: Springer (2005; Zbl 1068.65138)