Andrade, Giovanna C.; Santos, Sandra A. A level-set-based topology optimization strategy using radial basis functions and a Hilbertian velocity extension. (English) Zbl 1505.74178 Appl. Math. Modelling 111, 108-125 (2022). MSC: 74P15 49Q12 PDFBibTeX XMLCite \textit{G. C. Andrade} and \textit{S. A. Santos}, Appl. Math. Modelling 111, 108--125 (2022; Zbl 1505.74178) Full Text: DOI
Paz, Stevens; Jaramillo, Alfredo; Guiraldello, Rafael T.; Ausas, Roberto F.; Sousa, Fabricio S.; Pereira, Felipe; Buscaglia, Gustavo C. An adaptive time stepping algorithm for IMPES with high order polynomial extrapolation. (English) Zbl 1481.76221 Appl. Math. Modelling 91, 1100-1116 (2021). MSC: 76S05 65M08 PDFBibTeX XMLCite \textit{S. Paz} et al., Appl. Math. Modelling 91, 1100--1116 (2021; Zbl 1481.76221) Full Text: DOI
Aktaev, Nurken E. Potential well formation over a locally heated water surface. (English) Zbl 1481.76064 Appl. Math. Modelling 90, 366-374 (2021). MSC: 76D05 76R10 PDFBibTeX XMLCite \textit{N. E. Aktaev}, Appl. Math. Modelling 90, 366--374 (2021; Zbl 1481.76064) Full Text: DOI
Liu, Wenchao Exact analytical solution of a generalized multiple moving boundary model of one-dimensional non-Darcy flow in heterogeneous multilayered low-permeability porous media with a threshold pressure gradient. (English) Zbl 1481.76215 Appl. Math. Modelling 81, 931-953 (2020). MSC: 76S05 86A05 PDFBibTeX XMLCite \textit{W. Liu}, Appl. Math. Modelling 81, 931--953 (2020; Zbl 1481.76215) Full Text: DOI
Le, Tien Dung; Murad, Marcio A. A new multiscale model for flow and transport in unconventional shale oil reservoirs. (English) Zbl 1480.76120 Appl. Math. Modelling 64, 453-479 (2018). MSC: 76S05 86A05 PDFBibTeX XMLCite \textit{T. D. Le} and \textit{M. A. Murad}, Appl. Math. Modelling 64, 453--479 (2018; Zbl 1480.76120) Full Text: DOI
Bracciale, Marial Paola; Bretti, G.; Broggi, Alessandra; Ceseri, M.; Marrocchi, A.; Natalini, R.; Russo, C. Mathematical modelling of experimental data for crystallization inhibitors. (English) Zbl 1480.76117 Appl. Math. Modelling 48, 21-38 (2017). MSC: 76S05 76V05 80A32 PDFBibTeX XMLCite \textit{M. P. Bracciale} et al., Appl. Math. Modelling 48, 21--38 (2017; Zbl 1480.76117) Full Text: DOI
Druetta, P.; Yue, J.; Tesi, P.; De Persis, C.; Picchioni, F. Numerical modeling of a compositional flow for chemical EOR and its stability analysis. (English) Zbl 1446.76015 Appl. Math. Modelling 47, 141-159 (2017). MSC: 76-10 76S05 PDFBibTeX XMLCite \textit{P. Druetta} et al., Appl. Math. Modelling 47, 141--159 (2017; Zbl 1446.76015) Full Text: DOI
Ghoreishian Amiri, Seyed A.; Sadrnejad, S. A.; Ghasemzadeh, H. A hybrid numerical model for multiphase fluid flow in a deformable porous medium. (English) Zbl 1446.76022 Appl. Math. Modelling 45, 881-899 (2017). MSC: 76-10 76S05 76M10 PDFBibTeX XMLCite \textit{S. A. Ghoreishian Amiri} et al., Appl. Math. Modelling 45, 881--899 (2017; Zbl 1446.76022) Full Text: DOI
Ferreira, J. A.; Pena, G.; Romanazzi, G. Anomalous diffusion in porous media. (English) Zbl 1446.76018 Appl. Math. Modelling 40, No. 3, 1850-1862 (2016). MSC: 76-10 76M10 65R20 76S05 PDFBibTeX XMLCite \textit{J. A. Ferreira} et al., Appl. Math. Modelling 40, No. 3, 1850--1862 (2016; Zbl 1446.76018) Full Text: DOI
Shi, Feng; Zheng, Haibiao; Yu, Jiaping; Li, Ying On the convergence of variational multiscale methods based on Newton’s iteration for the incompressible flows. (English) Zbl 1428.76105 Appl. Math. Modelling 38, No. 23, 5726-5742 (2014). MSC: 76M10 76D05 65N12 65N30 PDFBibTeX XMLCite \textit{F. Shi} et al., Appl. Math. Modelling 38, No. 23, 5726--5742 (2014; Zbl 1428.76105) Full Text: DOI
Huang, Pengzhan; Zhao, Jianping; Feng, Xinlong An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method. (English) Zbl 1427.65365 Appl. Math. Modelling 38, No. 2, 535-547 (2014). MSC: 65N30 76M10 76D05 65N12 65N15 PDFBibTeX XMLCite \textit{P. Huang} et al., Appl. Math. Modelling 38, No. 2, 535--547 (2014; Zbl 1427.65365) Full Text: DOI
Weng, Zhifeng; Feng, Xinlong; Liu, Demin A two-grid stabilized mixed finite element method for semilinear elliptic equations. (English) Zbl 1426.65186 Appl. Math. Modelling 37, No. 10-11, 7037-7046 (2013). MSC: 65N30 35J61 76M10 PDFBibTeX XMLCite \textit{Z. Weng} et al., Appl. Math. Modelling 37, No. 10--11, 7037--7046 (2013; Zbl 1426.65186) Full Text: DOI
Dehghan, Mehdi; Sabouri, Mania A Legendre spectral element method on a large spatial domain to solve the predator-prey system modeling interacting populations. (English) Zbl 1352.65389 Appl. Math. Modelling 37, No. 3, 1028-1038 (2013). MSC: 65M70 65M60 35K51 35Q92 92D25 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Sabouri}, Appl. Math. Modelling 37, No. 3, 1028--1038 (2013; Zbl 1352.65389) Full Text: DOI
Huang, Pengzhan; Feng, Xinlong; He, Yinnian Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations. (English) Zbl 1351.76060 Appl. Math. Modelling 37, No. 3, 728-741 (2013). MSC: 76M10 76D05 65N30 PDFBibTeX XMLCite \textit{P. Huang} et al., Appl. Math. Modelling 37, No. 3, 728--741 (2013; Zbl 1351.76060) Full Text: DOI
Patel, Kinjal R.; Mehta, Manoj N.; Patel, Twinkle R. A mathematical model of imbibition phenomenon in heterogeneous porous media during secondary oil recovery process. (English) Zbl 1351.76283 Appl. Math. Modelling 37, No. 5, 2933-2942 (2013). MSC: 76S05 PDFBibTeX XMLCite \textit{K. R. Patel} et al., Appl. Math. Modelling 37, No. 5, 2933--2942 (2013; Zbl 1351.76283) Full Text: DOI
Weng, Zhifeng; Feng, Xinlong; Huang, Pengzhan A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems. (English) Zbl 1252.65170 Appl. Math. Modelling 36, No. 10, 5068-5079 (2012). MSC: 65M60 PDFBibTeX XMLCite \textit{Z. Weng} et al., Appl. Math. Modelling 36, No. 10, 5068--5079 (2012; Zbl 1252.65170) Full Text: DOI
Feng, Xinlong; He, Yinnian; Liu, Demin Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations. (English) Zbl 1228.76040 Appl. Math. Modelling 35, No. 12, 5856-5871 (2011). MSC: 76D05 65M60 65M12 76M10 PDFBibTeX XMLCite \textit{X. Feng} et al., Appl. Math. Modelling 35, No. 12, 5856--5871 (2011; Zbl 1228.76040) Full Text: DOI