Jiang, Nan; Yang, Huanhuan Unconditionally stable, second order, decoupled ensemble schemes for computing evolutionary Boussinesq equations. (English) Zbl 1528.76042 Appl. Numer. Math. 192, 241-260 (2023). MSC: 76M10 65M60 65M12 76B03 76D05 PDFBibTeX XMLCite \textit{N. Jiang} and \textit{H. Yang}, Appl. Numer. Math. 192, 241--260 (2023; Zbl 1528.76042) Full Text: DOI
Zhang, Xiaodi; Long, Xiaonian Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations. (English) Zbl 1528.76048 Appl. Numer. Math. 192, 214-240 (2023). MSC: 76M10 65M12 65M60 76D05 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{X. Long}, Appl. Numer. Math. 192, 214--240 (2023; Zbl 1528.76048) Full Text: DOI arXiv
Martínez, D.; Pla, F.; Herrero, H.; Fernández-Pérez, A. A Schwarz alternating method for an evolution convection problem. (English) Zbl 1526.76040 Appl. Numer. Math. 192, 179-196 (2023). MSC: 76M99 76M20 76R10 76D05 80A19 PDFBibTeX XMLCite \textit{D. Martínez} et al., Appl. Numer. Math. 192, 179--196 (2023; Zbl 1526.76040) Full Text: DOI
Li, Wei; Huang, Pengzhan On a two-order temporal scheme for Navier-Stokes/Navier-Stokes equations. (English) Zbl 1527.76034 Appl. Numer. Math. 194, 1-17 (2023). MSC: 76M10 65M60 35Q30 76D05 PDFBibTeX XMLCite \textit{W. Li} and \textit{P. Huang}, Appl. Numer. Math. 194, 1--17 (2023; Zbl 1527.76034) Full Text: DOI
Rozema, Gerk; Veldman, Arthur E. P.; Maurits, Natasha M. Quasi-simultaneous coupling methods for partitioned problems in computational hemodynamics. (English) Zbl 1503.76067 Appl. Numer. Math. 184, 461-481 (2023). MSC: 76M12 76M20 76Z05 76D05 74F10 92C10 PDFBibTeX XMLCite \textit{G. Rozema} et al., Appl. Numer. Math. 184, 461--481 (2023; Zbl 1503.76067) Full Text: DOI
Beltrán-Larrotta, Carlos M.; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J. On a chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics: theoretical and numerical analysis. (English) Zbl 1503.35235 Appl. Numer. Math. 184, 77-100 (2023). MSC: 35Q92 35Q30 92C17 92D25 92E20 76D05 35D30 35D35 35B65 65M60 65M06 65N30 65M12 65M15 92-08 PDFBibTeX XMLCite \textit{C. M. Beltrán-Larrotta} et al., Appl. Numer. Math. 184, 77--100 (2023; Zbl 1503.35235) Full Text: DOI
Camaño, Jessika; Caucao, Sergio; Oyarzúa, Ricardo; Villa-Fuentes, Segundo A posteriori error analysis of a momentum conservative Banach spaces based mixed-FEM for the Navier-Stokes problem. (English) Zbl 1484.65294 Appl. Numer. Math. 176, 134-158 (2022). MSC: 65N30 65N15 76D05 PDFBibTeX XMLCite \textit{J. Camaño} et al., Appl. Numer. Math. 176, 134--158 (2022; Zbl 1484.65294) Full Text: DOI
Hamadi, M. A.; Jbilou, K.; Ratnani, A. An efficient extended block Arnoldi algorithm for feedback stabilization of incompressible Navier-Stokes flow problems. (English) Zbl 1484.65197 Appl. Numer. Math. 174, 142-162 (2022). MSC: 65M22 65F10 35Q30 76D05 76D55 93D15 PDFBibTeX XMLCite \textit{M. A. Hamadi} et al., Appl. Numer. Math. 174, 142--162 (2022; Zbl 1484.65197) Full Text: DOI arXiv
Wang, Wansheng; Wang, Zheng; Mao, Mengli Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations. (English) Zbl 1484.65276 Appl. Numer. Math. 172, 393-412 (2022). MSC: 65M70 65L06 65M12 76D05 PDFBibTeX XMLCite \textit{W. Wang} et al., Appl. Numer. Math. 172, 393--412 (2022; Zbl 1484.65276) Full Text: DOI
Ran, Hongtao; Zheng, Bo; Shang, Yueqiang A parallel finite element variational multiscale method for the Navier-Stokes equations with nonlinear slip boundary conditions. (English) Zbl 1469.76065 Appl. Numer. Math. 168, 274-292 (2021). MSC: 76M10 76M30 76D05 65Y05 65N15 PDFBibTeX XMLCite \textit{H. Ran} et al., Appl. Numer. Math. 168, 274--292 (2021; Zbl 1469.76065) Full Text: DOI
Liu, Xin; Nie, Yufeng A modified nonconforming virtual element with BDM-like reconstruction for the Navier-Stokes equations. (English) Zbl 1476.65306 Appl. Numer. Math. 167, 375-388 (2021). MSC: 65N30 65N12 76D05 76M10 35Q30 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Nie}, Appl. Numer. Math. 167, 375--388 (2021; Zbl 1476.65306) Full Text: DOI
Cao, Luling; He, Yinnian; Li, Jian; Mahbub, Md. Abdullah Al Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual-porosity-Navier-Stokes model. (English) Zbl 1468.76038 Appl. Numer. Math. 166, 238-271 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76S05 76D05 65M12 PDFBibTeX XMLCite \textit{L. Cao} et al., Appl. Numer. Math. 166, 238--271 (2021; Zbl 1468.76038) Full Text: DOI arXiv
Li, Yuan; An, Rong Temporal error analysis of Euler semi-implicit scheme for the magnetohydrodynamics equations with variable density. (English) Zbl 1465.76054 Appl. Numer. Math. 166, 146-167 (2021). MSC: 76M10 76W05 76D05 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Li} and \textit{R. An}, Appl. Numer. Math. 166, 146--167 (2021; Zbl 1465.76054) Full Text: DOI
Wang, Xue; Zou, Guang-an; Wang, Bo The stabilized penalty-projection finite element method for the Navier-Stokes-Cahn-Hilliard-Oono system. (English) Zbl 1468.76043 Appl. Numer. Math. 165, 376-413 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76D05 76T99 76Z05 92C35 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Numer. Math. 165, 376--413 (2021; Zbl 1468.76043) Full Text: DOI
Li, Jian; Gao, Jiawei; Shu, Yu A parallel, non-spatial iterative, and rotational pressure projection method for the nonlinear fluid-fluid interaction. (English) Zbl 1475.65146 Appl. Numer. Math. 165, 119-136 (2021). MSC: 65M70 65M06 65N30 65Y05 76D05 76T06 76U05 78M10 76M20 35Q30 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Numer. Math. 165, 119--136 (2021; Zbl 1475.65146) Full Text: DOI
Zheng, Bo; Shang, Yueqiang Two-level defect-correction stabilized algorithms for the simulation of 2D/3D steady Navier-Stokes equations with damping. (English) Zbl 1466.65210 Appl. Numer. Math. 163, 182-203 (2021). MSC: 65N30 65N12 65N15 76D05 35Q30 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Y. Shang}, Appl. Numer. Math. 163, 182--203 (2021; Zbl 1466.65210) Full Text: DOI
Aggul, Mustafa; Kaya, Songül Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction. (English) Zbl 1457.76095 Appl. Numer. Math. 160, 178-191 (2021). MSC: 76M10 76T06 76D27 76D05 65M12 PDFBibTeX XMLCite \textit{M. Aggul} and \textit{S. Kaya}, Appl. Numer. Math. 160, 178--191 (2021; Zbl 1457.76095) Full Text: DOI arXiv
Chen, Chuanjun; Pan, Kejia; Yang, Xiaofeng Numerical approximations of a hydro-dynamically coupled phase-field model for binary mixture of passive/active nematic liquid crystals and viscous fluids. (English) Zbl 1454.76014 Appl. Numer. Math. 158, 1-21 (2020). MSC: 76A15 76D05 76T10 76M22 65M12 PDFBibTeX XMLCite \textit{C. Chen} et al., Appl. Numer. Math. 158, 1--21 (2020; Zbl 1454.76014) Full Text: DOI
Demir, Medine; Kaya, Songül An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows. (English) Zbl 1442.65359 Appl. Numer. Math. 156, 140-157 (2020). MSC: 65N30 65L06 35Q30 76D05 76M10 PDFBibTeX XMLCite \textit{M. Demir} and \textit{S. Kaya}, Appl. Numer. Math. 156, 140--157 (2020; Zbl 1442.65359) Full Text: DOI arXiv
Li, Yi; Hou, Yanren Error estimates of a second-order decoupled scheme for the evolutionary Stokes-Darcy system. (English) Zbl 1437.35584 Appl. Numer. Math. 154, 129-148 (2020). MSC: 35Q35 76S05 76D05 76M10 65N30 65L06 65M15 65M12 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Hou}, Appl. Numer. Math. 154, 129--148 (2020; Zbl 1437.35584) Full Text: DOI
Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K. Efficient solution of large-scale algebraic Riccati equations associated with index-2 DAEs via the inexact low-rank Newton-ADI method. (English) Zbl 1462.76142 Appl. Numer. Math. 152, 338-354 (2020). MSC: 76M99 76D05 PDFBibTeX XMLCite \textit{P. Benner} et al., Appl. Numer. Math. 152, 338--354 (2020; Zbl 1462.76142) Full Text: DOI arXiv
Wu, Jilian; Wei, Leilei; Feng, Xinlong Novel fractional time-stepping algorithms for natural convection problems with variable density. (English) Zbl 1448.76145 Appl. Numer. Math. 151, 64-84 (2020). MSC: 76R10 76M10 76D05 65M12 PDFBibTeX XMLCite \textit{J. Wu} et al., Appl. Numer. Math. 151, 64--84 (2020; Zbl 1448.76145) Full Text: DOI
An, Rong Error analysis of a time-splitting method for incompressible flows with variable density. (English) Zbl 1448.76056 Appl. Numer. Math. 150, 384-395 (2020). MSC: 76D05 65M15 65M12 76M10 PDFBibTeX XMLCite \textit{R. An}, Appl. Numer. Math. 150, 384--395 (2020; Zbl 1448.76056) Full Text: DOI
Liu, Wenjia; Hou, Yanren; Xue, Dandan Numerical analysis of a 4th-order time parallel algorithm for the time-dependent Navier-Stokes equations. (English) Zbl 1435.65163 Appl. Numer. Math. 150, 361-383 (2020). MSC: 65M60 65M06 65M12 65Y05 76D05 35Q35 PDFBibTeX XMLCite \textit{W. Liu} et al., Appl. Numer. Math. 150, 361--383 (2020; Zbl 1435.65163) Full Text: DOI
Kazmi, Kamran; Khaliq, Abdul Q. M. An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions. (English) Zbl 1434.65122 Appl. Numer. Math. 147, 142-160 (2020). MSC: 65M06 65L06 35R11 26A33 60H10 76D05 PDFBibTeX XMLCite \textit{K. Kazmi} and \textit{A. Q. M. Khaliq}, Appl. Numer. Math. 147, 142--160 (2020; Zbl 1434.65122) Full Text: DOI
Qin, Yi; Hou, Yanren The time filter for the non-stationary coupled Stokes/Darcy model. (English) Zbl 1448.76064 Appl. Numer. Math. 146, 260-275 (2019). MSC: 76D05 76S05 76M99 PDFBibTeX XMLCite \textit{Y. Qin} and \textit{Y. Hou}, Appl. Numer. Math. 146, 260--275 (2019; Zbl 1448.76064) Full Text: DOI
Qiu, Hailong; Mei, Liquan Multi-level stabilized algorithms for the stationary incompressible Navier-Stokes equations with damping. (English) Zbl 1419.65120 Appl. Numer. Math. 143, 188-202 (2019). MSC: 76M10 65N30 35Q30 76D05 65N15 PDFBibTeX XMLCite \textit{H. Qiu} and \textit{L. Mei}, Appl. Numer. Math. 143, 188--202 (2019; Zbl 1419.65120) Full Text: DOI
Charnyi, Sergey; Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G. Efficient discretizations for the EMAC formulation of the incompressible Navier-Stokes equations. (English) Zbl 1478.65082 Appl. Numer. Math. 141, 220-233 (2019). MSC: 65M60 35Q35 65M22 76D05 PDFBibTeX XMLCite \textit{S. Charnyi} et al., Appl. Numer. Math. 141, 220--233 (2019; Zbl 1478.65082) Full Text: DOI arXiv
Yang, Haijian; Hwang, Feng-Nan An adaptive nonlinear elimination preconditioned inexact Newton algorithm for highly local nonlinear multicomponent PDE systems. (English) Zbl 1397.65245 Appl. Numer. Math. 133, 100-115 (2018). MSC: 65N22 65H10 76D05 65F08 65F10 76H05 PDFBibTeX XMLCite \textit{H. Yang} and \textit{F.-N. Hwang}, Appl. Numer. Math. 133, 100--115 (2018; Zbl 1397.65245) Full Text: DOI
Chaabane, Nabil; Girault, Vivette; Riviere, Beatrice; Thompson, Travis A stable enriched Galerkin element for the Stokes problem. (English) Zbl 1395.65072 Appl. Numer. Math. 132, 1-21 (2018). MSC: 65M60 65M15 35Q30 76D05 PDFBibTeX XMLCite \textit{N. Chaabane} et al., Appl. Numer. Math. 132, 1--21 (2018; Zbl 1395.65072) Full Text: DOI
Araya, Rodolfo; Rebolledo, Ramiro An a posteriori error estimator for a LPS method for Navier-Stokes equations. (English) Zbl 1425.76126 Appl. Numer. Math. 127, 179-195 (2018). MSC: 76M10 76D05 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{R. Araya} and \textit{R. Rebolledo}, Appl. Numer. Math. 127, 179--195 (2018; Zbl 1425.76126) Full Text: DOI
Tang, Qili; Huang, Yunqing Stability and convergence analysis of a Crank-Nicolson leap-frog scheme for the unsteady incompressible Navier-Stokes equations. (English) Zbl 1376.76027 Appl. Numer. Math. 124, 110-129 (2018). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{Q. Tang} and \textit{Y. Huang}, Appl. Numer. Math. 124, 110--129 (2018; Zbl 1376.76027) Full Text: DOI
Isik, Osman Rasit; Takhirov, Aziz; Zheng, Haibiao Second order time relaxation model for accelerating convergence to steady-state equilibrium for Navier-Stokes equations. (English) Zbl 1432.76205 Appl. Numer. Math. 119, 67-78 (2017). MSC: 76M99 76D05 65M12 35B40 35Q30 65J08 PDFBibTeX XMLCite \textit{O. R. Isik} et al., Appl. Numer. Math. 119, 67--78 (2017; Zbl 1432.76205) Full Text: DOI
Daikh, Yasmina; Yakoubi, Driss Spectral discretization of the Navier-Stokes problem with mixed boundary conditions. (English) Zbl 1398.76164 Appl. Numer. Math. 118, 33-49 (2017). MSC: 76M22 65M70 65M15 76D05 PDFBibTeX XMLCite \textit{Y. Daikh} and \textit{D. Yakoubi}, Appl. Numer. Math. 118, 33--49 (2017; Zbl 1398.76164) Full Text: DOI
Shang, Yueqiang; Qin, Jin Parallel finite element variational multiscale algorithms for incompressible flow at high Reynolds numbers. (English) Zbl 1462.65198 Appl. Numer. Math. 117, 1-21 (2017). MSC: 65N30 65N55 65N15 65N12 65D32 65Y05 76D05 76M10 PDFBibTeX XMLCite \textit{Y. Shang} and \textit{J. Qin}, Appl. Numer. Math. 117, 1--21 (2017; Zbl 1462.65198) Full Text: DOI
Kozyrakis, G. V.; Delis, A. I.; Kampanis, N. A. A finite difference solver for incompressible Navier-Stokes flows in complex domains. (English) Zbl 1422.65159 Appl. Numer. Math. 115, 275-298 (2017). MSC: 65M06 35Q30 76D05 76M20 PDFBibTeX XMLCite \textit{G. V. Kozyrakis} et al., Appl. Numer. Math. 115, 275--298 (2017; Zbl 1422.65159) Full Text: DOI
Fambri, Francesco; Dumbser, Michael Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids. (English) Zbl 1432.76157 Appl. Numer. Math. 110, 41-74 (2016). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{F. Fambri} and \textit{M. Dumbser}, Appl. Numer. Math. 110, 41--74 (2016; Zbl 1432.76157) Full Text: DOI arXiv
Kamenetskiy, D. S. On the relation of the embedded discontinuous Galerkin method to the stabilized residual-based finite element methods. (English) Zbl 1346.65059 Appl. Numer. Math. 108, 271-285 (2016). MSC: 65N30 35Q30 65N12 76D05 76M10 76N15 PDFBibTeX XMLCite \textit{D. S. Kamenetskiy}, Appl. Numer. Math. 108, 271--285 (2016; Zbl 1346.65059) Full Text: DOI
Ke, Yifen; Ma, Changfeng A note on “A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations”. (English) Zbl 1382.65079 Appl. Numer. Math. 108, 223-225 (2016). MSC: 65F08 65F10 76M10 76D05 76D07 PDFBibTeX XMLCite \textit{Y. Ke} and \textit{C. Ma}, Appl. Numer. Math. 108, 223--225 (2016; Zbl 1382.65079) Full Text: DOI
Yılmaz, Fikriye; Çıbık, Aytekin A projection-based variational multiscale method for the optimal control problems governed by the stationary Navier-Stokes equations. (English) Zbl 1381.76072 Appl. Numer. Math. 106, 116-128 (2016). MSC: 76D55 76M10 65N30 49M25 76D05 PDFBibTeX XMLCite \textit{F. Yılmaz} and \textit{A. Çıbık}, Appl. Numer. Math. 106, 116--128 (2016; Zbl 1381.76072) Full Text: DOI
Guo, Daniel X. Modified fully discretized projection method for the incompressible Navier-Stokes equations. (English) Zbl 1330.76069 Appl. Numer. Math. 96, 187-202 (2015). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{D. X. Guo}, Appl. Numer. Math. 96, 187--202 (2015; Zbl 1330.76069) Full Text: DOI
Hong, Youngjoon; Wirosoetisno, Djoko Timestepping schemes for the 3d Navier-Stokes equations. (English) Zbl 1330.76104 Appl. Numer. Math. 96, 153-164 (2015). MSC: 76M25 65J08 76D05 PDFBibTeX XMLCite \textit{Y. Hong} and \textit{D. Wirosoetisno}, Appl. Numer. Math. 96, 153--164 (2015; Zbl 1330.76104) Full Text: DOI arXiv
Ruiz-Baier, Ricardo; Torres, Héctor Numerical solution of a multidimensional sedimentation problem using finite volume-element methods. (English) Zbl 1320.76085 Appl. Numer. Math. 95, 280-291 (2015). MSC: 76M12 76M10 65M60 65M08 76D05 76S05 PDFBibTeX XMLCite \textit{R. Ruiz-Baier} and \textit{H. Torres}, Appl. Numer. Math. 95, 280--291 (2015; Zbl 1320.76085) Full Text: DOI
Benítez, M.; Bermúdez, A. Pure Lagrangian and semi-Lagrangian finite element methods for the numerical solution of Navier-Stokes equations. (English) Zbl 1320.76060 Appl. Numer. Math. 95, 62-81 (2015). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{M. Benítez} and \textit{A. Bermúdez}, Appl. Numer. Math. 95, 62--81 (2015; Zbl 1320.76060) Full Text: DOI
Qiu, Hailong; Mei, Liquan; Liu, Hui; Cartwright, Stephen A defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions. (English) Zbl 1326.76066 Appl. Numer. Math. 90, 9-21 (2015). MSC: 76M10 65N30 65K15 65N15 76D05 35Q30 PDFBibTeX XMLCite \textit{H. Qiu} et al., Appl. Numer. Math. 90, 9--21 (2015; Zbl 1326.76066) Full Text: DOI
Chen, Lizhen; Shen, Jie; Xu, Chuanju; Luo, Li-Shi Parallel spectral-element direction splitting method for incompressible Navier-Stokes equations. (English) Zbl 1291.76233 Appl. Numer. Math. 84, 66-79 (2014). MSC: 76M22 76D05 65Y10 PDFBibTeX XMLCite \textit{L. Chen} et al., Appl. Numer. Math. 84, 66--79 (2014; Zbl 1291.76233) Full Text: DOI
Hussain, S.; Schieweck, F.; Turek, S. Efficient Newton-multigrid solution techniques for higher order space-time Galerkin discretizations of incompressible flow. (English) Zbl 1290.76065 Appl. Numer. Math. 83, 51-71 (2014). MSC: 76M10 76D05 65Y10 PDFBibTeX XMLCite \textit{S. Hussain} et al., Appl. Numer. Math. 83, 51--71 (2014; Zbl 1290.76065) Full Text: DOI
Zhang, Qinghai A fourth-order approximate projection method for the incompressible Navier-Stokes equations on locally-refined periodic domains. (English) Zbl 1302.65207 Appl. Numer. Math. 77, 16-30 (2014). MSC: 65M08 76D05 76M12 PDFBibTeX XMLCite \textit{Q. Zhang}, Appl. Numer. Math. 77, 16--30 (2014; Zbl 1302.65207) Full Text: DOI
Cimolin, F.; Discacciati, M. Navier-Stokes/Forchheimer models for filtration through porous media. (English) Zbl 1394.76122 Appl. Numer. Math. 72, 205-224 (2013). MSC: 76S05 76D05 76M10 PDFBibTeX XMLCite \textit{F. Cimolin} and \textit{M. Discacciati}, Appl. Numer. Math. 72, 205--224 (2013; Zbl 1394.76122) Full Text: DOI
Kazolea, M.; Delis, A. I. A well-balanced shock-capturing hybrid finite volume-finite difference numerical scheme for extended 1D Boussinesq models. (English) Zbl 1308.76185 Appl. Numer. Math. 67, 167-186 (2013). MSC: 76M12 76M20 65M08 65M06 76D05 PDFBibTeX XMLCite \textit{M. Kazolea} and \textit{A. I. Delis}, Appl. Numer. Math. 67, 167--186 (2013; Zbl 1308.76185) Full Text: DOI
El-Amrani, Mofdi; Seaïd, Mohammed A conjugate gradient algorithm for solving the Galerkin-characteristic approximation of interfacial flows. (English) Zbl 1426.76528 Appl. Numer. Math. 62, No. 9, 1197-1214 (2012). MSC: 76M25 76M10 76D50 76D05 PDFBibTeX XMLCite \textit{M. El-Amrani} and \textit{M. Seaïd}, Appl. Numer. Math. 62, No. 9, 1197--1214 (2012; Zbl 1426.76528) Full Text: DOI
Huang, Pengzhan; Feng, Xinlong; Liu, Demin Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations. (English) Zbl 1302.76103 Appl. Numer. Math. 62, No. 8, 988-1001 (2012). MSC: 76M10 65N30 65N12 76D05 PDFBibTeX XMLCite \textit{P. Huang} et al., Appl. Numer. Math. 62, No. 8, 988--1001 (2012; Zbl 1302.76103) Full Text: DOI
Köster, M.; Ouazzi, A.; Schieweck, F.; Turek, S.; Zajac, P. New robust nonconforming finite elements of higher order. (English) Zbl 1238.65112 Appl. Numer. Math. 62, No. 3, 166-184 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 35J05 35Q30 76D05 76M10 65N55 PDFBibTeX XMLCite \textit{M. Köster} et al., Appl. Numer. Math. 62, No. 3, 166--184 (2012; Zbl 1238.65112) Full Text: DOI
Li, Yuan; An, Rong Two-level pressure projection finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions. (English) Zbl 1371.76094 Appl. Numer. Math. 61, No. 3, 285-297 (2011). MSC: 76M10 65N30 76D05 35Q30 65K15 PDFBibTeX XMLCite \textit{Y. Li} and \textit{R. An}, Appl. Numer. Math. 61, No. 3, 285--297 (2011; Zbl 1371.76094) Full Text: DOI
Benzi, Michele; Guo, Xue-Ping A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. (English) Zbl 1302.65074 Appl. Numer. Math. 61, No. 1, 66-76 (2011). MSC: 65F08 65F10 76M10 76D05 76D07 PDFBibTeX XMLCite \textit{M. Benzi} and \textit{X.-P. Guo}, Appl. Numer. Math. 61, No. 1, 66--76 (2011; Zbl 1302.65074) Full Text: DOI
Pashos, George; Koronaki, Eleni D.; Spyropoulos, Antony N.; Boudouvis, Andreas G. Accelerating an inexact Newton/GMRES scheme by subspace decomposition. (English) Zbl 1190.65086 Appl. Numer. Math. 60, No. 4, 397-410 (2010). MSC: 65H10 65N25 35P30 65N30 35Q30 76D05 76M10 PDFBibTeX XMLCite \textit{G. Pashos} et al., Appl. Numer. Math. 60, No. 4, 397--410 (2010; Zbl 1190.65086) Full Text: DOI
Gao, Zhiming; Ma, Yichen Shape gradient of the dissipated energy functional in shape optimization for the viscous incompressible flow. (English) Zbl 1148.76023 Appl. Numer. Math. 58, No. 11, 1720-1741 (2008). MSC: 76D55 76D05 PDFBibTeX XMLCite \textit{Z. Gao} and \textit{Y. Ma}, Appl. Numer. Math. 58, No. 11, 1720--1741 (2008; Zbl 1148.76023) Full Text: DOI arXiv
He, Guoliang; He, Yinnian; Chen, Zhangxin A penalty finite volume method for the transient Navier-Stokes equations. (English) Zbl 1148.76038 Appl. Numer. Math. 58, No. 11, 1583-1613 (2008). MSC: 76M12 76D05 PDFBibTeX XMLCite \textit{G. He} et al., Appl. Numer. Math. 58, No. 11, 1583--1613 (2008; Zbl 1148.76038) Full Text: DOI
Caussignac, Ph. A gauge finite element method for the 2D Navier-Stokes problem. (English) Zbl 1145.76031 Appl. Numer. Math. 58, No. 10, 1413-1433 (2008). MSC: 76M10 76D05 76D07 PDFBibTeX XMLCite \textit{Ph. Caussignac}, Appl. Numer. Math. 58, No. 10, 1413--1433 (2008; Zbl 1145.76031) Full Text: DOI
Lopez, J. I. H.; Meneghini, J. R.; Saltara, F. Discrete approximation to the global spectrum of the tangent operator for flow past a circular cylinder. (English) Zbl 1206.76018 Appl. Numer. Math. 58, No. 8, 1159-1167 (2008). MSC: 76E06 76M10 76D05 PDFBibTeX XMLCite \textit{J. I. H. Lopez} et al., Appl. Numer. Math. 58, No. 8, 1159--1167 (2008; Zbl 1206.76018) Full Text: DOI
Bodard, Nicolas; Bouffanais, Roland; Deville, Michel O. Solution of moving-boundary problems by the spectral element method. (English) Zbl 1140.76029 Appl. Numer. Math. 58, No. 7, 968-984 (2008). MSC: 76M22 76D05 PDFBibTeX XMLCite \textit{N. Bodard} et al., Appl. Numer. Math. 58, No. 7, 968--984 (2008; Zbl 1140.76029) Full Text: DOI arXiv
Djadel, K.; Nicaise, S. A non-conforming finite volume element method of weighted upstream type for the two-dimensional stationary Navier-Stokes system. (English) Zbl 1134.76038 Appl. Numer. Math. 58, No. 5, 615-634 (2008). MSC: 76M12 76D05 65N30 65N15 PDFBibTeX XMLCite \textit{K. Djadel} and \textit{S. Nicaise}, Appl. Numer. Math. 58, No. 5, 615--634 (2008; Zbl 1134.76038) Full Text: DOI
Guo, Benyu; Huang, Wei Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations. (English) Zbl 1123.76046 Appl. Numer. Math. 57, No. 8, 939-961 (2007). MSC: 76M22 76D05 PDFBibTeX XMLCite \textit{B. Guo} and \textit{W. Huang}, Appl. Numer. Math. 57, No. 8, 939--961 (2007; Zbl 1123.76046) Full Text: DOI
Cerimele, M. M.; Mansutti, D.; Pistella, F. Horizontal solidification of average and low Prandtl fluids in microgravity. (English) Zbl 1156.80389 Appl. Numer. Math. 56, No. 5, 682-694 (2006). MSC: 80A22 76D05 PDFBibTeX XMLCite \textit{M. M. Cerimele} et al., Appl. Numer. Math. 56, No. 5, 682--694 (2006; Zbl 1156.80389) Full Text: DOI
Cheng, Gary C.; Koomullil, Roy P.; Soni, Bharat K. High fidelity field simulations using density and pressure based approaches. (English) Zbl 1115.76062 Appl. Numer. Math. 55, No. 3, 264-282 (2005). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{G. C. Cheng} et al., Appl. Numer. Math. 55, No. 3, 264--282 (2005; Zbl 1115.76062) Full Text: DOI
Chacón Rebollo, Tomás; Chacón Vera, Eliseo Study of a non-overlapping domain decomposition method: steady Navier–Stokes equations. (English) Zbl 1236.76044 Appl. Numer. Math. 55, No. 1, 100-124 (2005). MSC: 76M25 65N55 76D05 PDFBibTeX XMLCite \textit{T. Chacón Rebollo} and \textit{E. Chacón Vera}, Appl. Numer. Math. 55, No. 1, 100--124 (2005; Zbl 1236.76044) Full Text: DOI
Kim, Sang Dong; Lee, Yong Hun; Yang, Suh-Yuh Analysis of \(H^{-1},L^{2},L^{2}\) first-order system least squares for the incompressible Oseen type equations. (English) Zbl 1107.76045 Appl. Numer. Math. 52, No. 1, 77-88 (2005). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{S. D. Kim} et al., Appl. Numer. Math. 52, No. 1, 77--88 (2005; Zbl 1107.76045) Full Text: DOI
Blasco, J.; Codina, R. Error estimates for an operator-splitting method for incompressible flows. (English) Zbl 1126.76339 Appl. Numer. Math. 51, No. 1, 1-17 (2004). MSC: 76M10 65M06 35Q30 65M15 76D05 PDFBibTeX XMLCite \textit{J. Blasco} and \textit{R. Codina}, Appl. Numer. Math. 51, No. 1, 1--17 (2004; Zbl 1126.76339) Full Text: DOI Link
Hill, A. T.; Wan, W. L. Analysis and numerics for a parabolic equation with impulsive forcing. (English) Zbl 1122.76322 Appl. Numer. Math. 50, No. 3-4, 445-474 (2004). MSC: 76D05 65M60 65M12 35Q30 PDFBibTeX XMLCite \textit{A. T. Hill} and \textit{W. L. Wan}, Appl. Numer. Math. 50, No. 3--4, 445--474 (2004; Zbl 1122.76322) Full Text: DOI
Tone, Florentina Error analysis for a second order-scheme for the Navier-Stokes equations. (English) Zbl 1093.76046 Appl. Numer. Math. 50, No. 1, 93-119 (2004). MSC: 76M20 76D05 65M15 PDFBibTeX XMLCite \textit{F. Tone}, Appl. Numer. Math. 50, No. 1, 93--119 (2004; Zbl 1093.76046) Full Text: DOI
Bucchignani, Edoardo A numerical study of nonlinear dynamics in a tank for aerospace applications. (English) Zbl 1146.76589 Appl. Numer. Math. 49, No. 3-4, 307-318 (2004). MSC: 76B10 74F10 76M12 76D05 PDFBibTeX XMLCite \textit{E. Bucchignani}, Appl. Numer. Math. 49, No. 3--4, 307--318 (2004; Zbl 1146.76589) Full Text: DOI
Arina, Renzo; Falossi, Marco Domain decomposition technique for aeroacoustic simulations. (English) Zbl 1146.76628 Appl. Numer. Math. 49, No. 3-4, 263-275 (2004). MSC: 76M25 76Q05 76D05 PDFBibTeX XMLCite \textit{R. Arina} and \textit{M. Falossi}, Appl. Numer. Math. 49, No. 3--4, 263--275 (2004; Zbl 1146.76628) Full Text: DOI
Dunca, Adrian; John, Volker; Layton, William Approximating local averages of fluid velocities: the equilibrium Navier-Stokes equations. (English) Zbl 1146.76605 Appl. Numer. Math. 49, No. 2, 187-205 (2004). MSC: 76F65 65N15 65N50 76D05 76M10 PDFBibTeX XMLCite \textit{A. Dunca} et al., Appl. Numer. Math. 49, No. 2, 187--205 (2004; Zbl 1146.76605) Full Text: DOI
Vainikko, Eero; Graham, Ivan G. A parallel solver for PDE systems and application to the incompressible Navier-Stokes equations. (English) Zbl 1066.76515 Appl. Numer. Math. 49, No. 1, 97-116 (2004). MSC: 76M10 76D05 65F10 65Y05 PDFBibTeX XMLCite \textit{E. Vainikko} and \textit{I. G. Graham}, Appl. Numer. Math. 49, No. 1, 97--116 (2004; Zbl 1066.76515) Full Text: DOI
Minion, Michael L. Semi-implicit projection methods for incompressible flow based on spectral deferred corrections. (English) Zbl 1035.76040 Appl. Numer. Math. 48, No. 3-4, 369-387 (2004). MSC: 76M22 76D05 65M20 PDFBibTeX XMLCite \textit{M. L. Minion}, Appl. Numer. Math. 48, No. 3--4, 369--387 (2004; Zbl 1035.76040) Full Text: DOI
Koomullil, R. P.; Thompson, D. S.; Soni, B. K. Iced airfoil simulation using generalized grids. (English) Zbl 1061.76038 Appl. Numer. Math. 46, No. 3-4, 319-330 (2003). MSC: 76M12 76D05 65M50 PDFBibTeX XMLCite \textit{R. P. Koomullil} et al., Appl. Numer. Math. 46, No. 3--4, 319--330 (2003; Zbl 1061.76038) Full Text: DOI
Discacciati, Marco; Miglio, Edie; Quarteroni, Alfio Mathematical and numerical models for coupling surface and groundwater flows. (English) Zbl 1023.76048 Appl. Numer. Math. 43, No. 1-2, 57-74 (2002). MSC: 76S05 76D05 35Q35 86A05 PDFBibTeX XMLCite \textit{M. Discacciati} et al., Appl. Numer. Math. 43, No. 1--2, 57--74 (2002; Zbl 1023.76048) Full Text: DOI
Wang, Xiaoshen; Ye, Xiu Superconvergence analysis for the Navier-Stokes equations. (English) Zbl 1034.76034 Appl. Numer. Math. 41, No. 4, 515-527 (2002). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{X. Wang} and \textit{X. Ye}, Appl. Numer. Math. 41, No. 4, 515--527 (2002; Zbl 1034.76034) Full Text: DOI
Bourchtein, Andrei; Bourchtein, Lioudmila; Lukaszczyk, Joao Paulo Numerical simulation of incompressible flows through granular porous media. (English) Zbl 1113.76457 Appl. Numer. Math. 40, No. 1-2, 291-306 (2002). MSC: 76S05 76D05 76M20 PDFBibTeX XMLCite \textit{A. Bourchtein} et al., Appl. Numer. Math. 40, No. 1--2, 291--306 (2002; Zbl 1113.76457) Full Text: DOI
Li, Yaqing; Chen, Benito Modeling of flow and transport at the microscale. (English) Zbl 1009.76056 Appl. Numer. Math. 40, No. 1-2, 245-259 (2002). MSC: 76M10 76S05 76D05 76Z05 PDFBibTeX XMLCite \textit{Y. Li} and \textit{B. Chen}, Appl. Numer. Math. 40, No. 1--2, 245--259 (2002; Zbl 1009.76056) Full Text: DOI
Torres, Carlos R.; Ochoa, J.; Castillo, J.; Van Woert, M. Initial flow field of stratified flow past an impulsively started sphere. (English) Zbl 0999.76098 Appl. Numer. Math. 40, No. 1-2, 235-244 (2002). MSC: 76M20 76D50 76D05 PDFBibTeX XMLCite \textit{C. R. Torres} et al., Appl. Numer. Math. 40, No. 1--2, 235--244 (2002; Zbl 0999.76098) Full Text: DOI
Blasco, J.; Codina, R. Space and time error estimates for a first-order, pressure-stabilized finite element method for the incompressible Navier-Stokes equations. (English) Zbl 1011.76041 Appl. Numer. Math. 38, No. 4, 475-497 (2001). MSC: 76M10 76D05 65M15 PDFBibTeX XMLCite \textit{J. Blasco} and \textit{R. Codina}, Appl. Numer. Math. 38, No. 4, 475--497 (2001; Zbl 1011.76041) Full Text: DOI
Tang, Dalin; Yang, Chun; Kobayashi, Shunichi; Ku, David N. Generalized finite difference method for 3-D viscous flow in stenotic tubes with large wall deformation and collapse. (English) Zbl 1020.76035 Appl. Numer. Math. 38, No. 1-2, 49-68 (2001). MSC: 76M20 76Z05 76D05 92C10 PDFBibTeX XMLCite \textit{D. Tang} et al., Appl. Numer. Math. 38, No. 1--2, 49--68 (2001; Zbl 1020.76035) Full Text: DOI
John, Volker Residual a posteriori error estimates for two-level finite element methods for the Navier-Stokes equations. (English) Zbl 0987.76053 Appl. Numer. Math. 37, No. 4, 503-518 (2001). MSC: 76M10 76D05 65N15 PDFBibTeX XMLCite \textit{V. John}, Appl. Numer. Math. 37, No. 4, 503--518 (2001; Zbl 0987.76053) Full Text: DOI
Tang, Dalin; Yang, Chun; Kobayashi, Shunichi; Ku, David N. Experiment-based numerical simulation of unsteady viscous flow in stenotic collapsible tubes. (English) Zbl 1052.76078 Appl. Numer. Math. 36, No. 2-3, 299-320 (2001). MSC: 76Z05 76M20 76D05 PDFBibTeX XMLCite \textit{D. Tang} et al., Appl. Numer. Math. 36, No. 2--3, 299--320 (2001; Zbl 1052.76078) Full Text: DOI
Bouchon, F.; Jauberteau, F. A multilevel method applied in the nonhomogeneous direction of the channel flow problem. (English) Zbl 1011.76062 Appl. Numer. Math. 36, No. 1, 1-34 (2001). MSC: 76M22 76F10 76D05 PDFBibTeX XMLCite \textit{F. Bouchon} and \textit{F. Jauberteau}, Appl. Numer. Math. 36, No. 1, 1--34 (2001; Zbl 1011.76062) Full Text: DOI
Guo, Daniel X. A second-order scheme for the Navier-Stokes equations: Application to the driven-cavity problem. (English) Zbl 0995.76063 Appl. Numer. Math. 35, No. 4, 307-322 (2000). MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{D. X. Guo}, Appl. Numer. Math. 35, No. 4, 307--322 (2000; Zbl 0995.76063) Full Text: DOI
Karamanos, G.-S.; Sherwin, S. J. A high-order splitting scheme for the Navier-Stokes equations with variable viscosity. (English) Zbl 0993.76055 Appl. Numer. Math. 33, No. 1-4, 455-462 (2000). MSC: 76M20 76D05 76R50 PDFBibTeX XMLCite \textit{G. S. Karamanos} and \textit{S. J. Sherwin}, Appl. Numer. Math. 33, No. 1--4, 455--462 (2000; Zbl 0993.76055) Full Text: DOI
Sherwin, Spencer J.; Ainsworth, Mark Unsteady Navier-Stokes solvers using hybrid spectral/\(hp\) element methods. (English) Zbl 0995.76050 Appl. Numer. Math. 33, No. 1-4, 357-363 (2000). MSC: 76M10 76D05 76D07 PDFBibTeX XMLCite \textit{S. J. Sherwin} and \textit{M. Ainsworth}, Appl. Numer. Math. 33, No. 1--4, 357--363 (2000; Zbl 0995.76050) Full Text: DOI
Wilhelm, Dirk; Kleiser, Leonhard Stable and unstable formulations of the convection operator in spectral element simulations. (English) Zbl 0993.76063 Appl. Numer. Math. 33, No. 1-4, 275-280 (2000). MSC: 76M22 76D05 PDFBibTeX XMLCite \textit{D. Wilhelm} and \textit{L. Kleiser}, Appl. Numer. Math. 33, No. 1--4, 275--280 (2000; Zbl 0993.76063) Full Text: DOI
Phillips, R. M.; Phillips, T. N. Flow past a cylinder using a semi-Lagrangian spectral element method. (English) Zbl 0992.76060 Appl. Numer. Math. 33, No. 1-4, 251-257 (2000). MSC: 76M10 76M22 76D05 PDFBibTeX XMLCite \textit{R. M. Phillips} and \textit{T. N. Phillips}, Appl. Numer. Math. 33, No. 1--4, 251--257 (2000; Zbl 0992.76060) Full Text: DOI
Magère, E.; Deville, M. O. Simulation of the Taylor-Couette flow in a finite geometry by spectral element method. (English) Zbl 0992.76057 Appl. Numer. Math. 33, No. 1-4, 241-249 (2000). MSC: 76M10 76M22 76U05 76D05 PDFBibTeX XMLCite \textit{E. Magère} and \textit{M. O. Deville}, Appl. Numer. Math. 33, No. 1--4, 241--249 (2000; Zbl 0992.76057) Full Text: DOI
Louchart, Olivier; Randriamampianina, Anthony A spectral iterative domain decomposition technique for the incompressible Navier-Stokes equations. (English) Zbl 0994.76075 Appl. Numer. Math. 33, No. 1-4, 233-240 (2000). MSC: 76M22 76D05 80A20 PDFBibTeX XMLCite \textit{O. Louchart} and \textit{A. Randriamampianina}, Appl. Numer. Math. 33, No. 1--4, 233--240 (2000; Zbl 0994.76075) Full Text: DOI
Huang, Weizhang; Tang, Tao Pseudospectral solutions for steady motion of a viscous fluid inside a circular boundary. (English) Zbl 0994.76074 Appl. Numer. Math. 33, No. 1-4, 167-173 (2000). MSC: 76M22 76M20 76D05 PDFBibTeX XMLCite \textit{W. Huang} and \textit{T. Tang}, Appl. Numer. Math. 33, No. 1--4, 167--173 (2000; Zbl 0994.76074) Full Text: DOI
Auteri, F.; Quartapelle, L. Spectral influence matrix for vorticity without corner pathology. (English) Zbl 0994.76072 Appl. Numer. Math. 33, No. 1-4, 135-142 (2000). MSC: 76M22 76D05 PDFBibTeX XMLCite \textit{F. Auteri} and \textit{L. Quartapelle}, Appl. Numer. Math. 33, No. 1--4, 135--142 (2000; Zbl 0994.76072) Full Text: DOI
Reuter, Jörg; Rempfer, Dietmar High order vorticity-velocity method for the simulation of pipe flow transition. (English) Zbl 0994.76068 Appl. Numer. Math. 33, No. 1-4, 105-111 (2000). MSC: 76M20 76M22 76D05 PDFBibTeX XMLCite \textit{J. Reuter} and \textit{D. Rempfer}, Appl. Numer. Math. 33, No. 1--4, 105--111 (2000; Zbl 0994.76068) Full Text: DOI
Riemslagh, Kris; Vierendeels, Jan; Dick, Erik An arbitrary Lagrangian-Eulerian finite volume method for the simulation of rotary displacement pump flow. (English) Zbl 0965.76055 Appl. Numer. Math. 32, No. 4, 419-433 (2000). MSC: 76M12 76U05 76D05 PDFBibTeX XMLCite \textit{K. Riemslagh} et al., Appl. Numer. Math. 32, No. 4, 419--433 (2000; Zbl 0965.76055) Full Text: DOI
Liu, Biyue; Tang, Dalin A numerical simulation of viscous flows in collapsible tubes with stenoses. (English) Zbl 0957.76031 Appl. Numer. Math. 32, No. 1, 87-101 (2000). MSC: 76M10 76D05 76D27 76Z05 92C10 PDFBibTeX XMLCite \textit{B. Liu} and \textit{D. Tang}, Appl. Numer. Math. 32, No. 1, 87--101 (2000; Zbl 0957.76031) Full Text: DOI
Choi, Haecheon; Hinze, Michael; Kunisch, Karl Instantaneous control of backward-facing step flows. (English) Zbl 0939.76027 Appl. Numer. Math. 31, No. 2, 133-158 (1999). MSC: 76D55 76D05 49J20 76M25 93C20 PDFBibTeX XMLCite \textit{H. Choi} et al., Appl. Numer. Math. 31, No. 2, 133--158 (1999; Zbl 0939.76027) Full Text: DOI
Tachim Medjo, Theodore The Navier-Stokes equations in the vorticity-velocity formulation: The two-dimensional case. (English) Zbl 0858.76018 Appl. Numer. Math. 21, No. 2, 185-206 (1996). MSC: 76D05 76M30 35Q30 PDFBibTeX XMLCite \textit{T. Tachim Medjo}, Appl. Numer. Math. 21, No. 2, 185--206 (1996; Zbl 0858.76018) Full Text: DOI