Li, Xiaoli; Liu, Hao; Zheng, Nan Second-order, energy-stable and maximum bound principle preserving schemes for two-phase incompressible flow. (English) Zbl 07983285 J. Sci. Comput. 102, No. 3, Paper No. 83, 27 p. (2025). MSC: 65M12 65M15 35K35 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Buyang; Ma, Shu; Sun, Weiwei Optimal analysis of finite element methods for the stochastic Stokes equations. (English) Zbl 07962046 Math. Comput. 94, No. 352, 551-583 (2025). MSC: 65M60 65M06 65N30 65M12 65M15 60H15 35R60 76D07 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El-Amrani, Mofdi; Obbadi, Anouar; Seaid, Mohammed; Yakoubi, Driss A fractional time-stepping method for unsteady thermal convection in non-Newtonian fluids. (English) Zbl 07954668 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108350, 26 p. (2025). MSC: 76M10 76A10 65M60 65M22 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhaowei; Wang, Danxia; Chen, Yanping; Zhang, Chenhui; Jia, Hongen Numerical approximation for the MHD equations with variable density based on the gauge-Uzawa method. (English) Zbl 07952189 Appl. Numer. Math. 207, 272-302 (2025). MSC: 65Mxx 76Mxx 76Wxx × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jianhua; Jiang, Yingying; Zhang, Guo-Dong Decoupled and unconditionally stable iteration method for stationary Navier-Stokes equations. (English) Zbl 07964961 Int. J. Numer. Methods Fluids 96, No. 10, 1680-1693 (2024). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Brunel, A.; Herbin, R.; Latché, J.-C. A centered limited finite volume approximation of the momentum convection operator for low-order nonconforming face-centered discretizations. (English) Zbl 07964942 Int. J. Numer. Methods Fluids 96, No. 6, 1104-1135 (2024). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Bi, Xiaowei; Liu, Demin Semi-discrete predictor-multicorrector FEM algorithms for the 2D/3D unsteady incompressible micropolar fluid equations. (English) Zbl 07950840 Adv. Appl. Math. Mech. 16, No. 6, 1519-1548 (2024). MSC: 76M10 65N12 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xinhui; Guo, Xu; Li, Xiaoli A class of new linear, efficient and high-order implicit-explicit methods for the unsteady Navier-Stokes-Darcy model based on nonlinear Lions interface condition. (English) Zbl 07935472 J. Sci. Comput. 101, No. 2, Paper No. 40, 30 p. (2024). MSC: 65-XX 35G25 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Si, Zhiyong; Li, Ziyi; Wei, Leilei A rotational velocity-correction projection method for the micropolar Navier-Stokes equations. (English) Zbl 1546.65075 Appl. Numer. Math. 205, 267-280 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76U05 76M10 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Xiaochen; Shi, Dongyang; Zhang, Tong Fully decoupled, linearized and stabilized finite volume method for the time-dependent incompressible MHD equations. (English) Zbl 07900515 Commun. Nonlinear Sci. Numer. Simul. 136, Article ID 108084, 27 p. (2024). MSC: 65Mxx 65Nxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jinghan; Li, Yuan The first-order unconditionally stable projection finite element method for the incompressible vector potential magnetohydrodynamics system. (English) Zbl 07899965 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108263, 19 p. (2024). MSC: 65Mxx 76Mxx 76Wxx × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Bo; Shang, Yueqiang A three-step subgrid stabilized Oseen iterative method for Navier-Stokes type variational inequality. (English) Zbl 1545.65462 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108181, 16 p. (2024). MSC: 65N30 65N55 65H10 35J65 35B35 76D05 76M10 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Tong, Fenghua; Cai, Yongyong Positivity preserving and mass conservative projection method for the Poisson-Nernst-Planck equation. (English) Zbl 1544.65143 SIAM J. Numer. Anal. 62, No. 4, 2004-2024 (2024). MSC: 65M06 65M15 35K51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eymard, Robert; Maltese, David Convergence of the incremental projection method using conforming approximations. (English) Zbl 1543.65150 Comput. Methods Appl. Math. 24, No. 3, 623-647 (2024). MSC: 65M60 35Q30 65M12 76M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
El-Amrani, Mofdi; Obbadi, Anouar; Seaid, Mohammed; Yakoubi, Driss A time viscosity-splitting method for incompressible flows with temperature-dependent viscosity and thermal conductivity. (English) Zbl 07897538 Comput. Methods Appl. Mech. Eng. 429, Article ID 117103, 29 p. (2024). MSC: 76M10 65M12 65M22 76D05 76R10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jian; Gao, Jiawei; Qin, Yi An efficient rotational pressure-correction schemes for 2D/3D closed-loop geothermal system. (English) Zbl 1545.35113 Adv. Comput. Math. 50, No. 3, Paper No. 57, 33 p. (2024). MSC: 35Q35 35Q79 65M60 65M06 65N30 76R10 76S05 76D05 76U60 80A19 35K05 86A05 76M10 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Wenbin; Jing, Jianyu; Liu, Qianqian; Wang, Cheng; Wang, Xiaoming A second order numerical scheme of the Cahn-Hilliard-Navier-Stokes system with Flory-Huggins potential. (English) Zbl 07895206 Commun. Comput. Phys. 35, No. 3, 633-661 (2024). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Ruimin; Li, Dongfang; Li, Yaoda; Yin, Yajun An energy-stable variable-step L1 scheme for time-fractional Navier-Stokes equations. (English) Zbl 07893193 Physica D 467, Article ID 134264, 11 p. (2024). MSC: 65Mxx 35Rxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jinting; Yi, Nianyu Convergence analysis of a decoupled pressure-correction SAV-FEM for the Cahn-Hilliard-Navier-Stokes model. (English) Zbl 07881072 J. Comput. Appl. Math. 449, Article ID 115985, 38 p. (2024). MSC: 65Mxx 76Dxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Nan; Li, Ying An efficient scalar auxiliary variable partitioned projection ensemble method for simulating surface-groundwater flows. (English) Zbl 07875902 Math. Comput. Simul. 221, 39-54 (2024). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Han, Wei-Wei; Jiang, Yao-Lin Numerical analysis of an improved projection method for the evolutionary magnetohydrodynamic equations with modular grad-div stabilization. (English) Zbl 07863399 Comput. Math. Appl. 167, 298-314 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Vexler, Boris; Wagner, Jakob Error estimates for finite element discretizations of the instationary Navier-Stokes equations. (English) Zbl 1541.35353 ESAIM, Math. Model. Numer. Anal. 58, No. 2, 457-488 (2024). MSC: 35Q30 76D05 76M10 65M60 65M15 65M22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Bing; Xia, Qing; Kim, Junseok; Li, Yibao Efficient second-order accurate scheme for fluid-surfactant systems on curved surfaces with unconditional energy stability. (English) Zbl 07861492 Commun. Nonlinear Sci. Numer. Simul. 135, Article ID 108054, 17 p. (2024). MSC: 65M06 65M12 65M15 76D05 76T06 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Huaijun; Shi, Dongyang Superconvergence error analysis of linearized semi-implicit bilinear-constant SAV finite element method for the time-dependent Navier-Stokes equations. (English) Zbl 07853278 Commun. Nonlinear Sci. Numer. Simul. 134, Article ID 108021, 18 p. (2024). MSC: 65Mxx 35Kxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Miao, Zhen; Zhang, Ren-Hao; Han, Wei-Wei; Jiang, Yao-Lin Analysis of a fractional-step parareal algorithm for the incompressible Navier-Stokes equations. (English) Zbl 07839866 Comput. Math. Appl. 161, 78-89 (2024). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Yangwei; Liu, Demin Unconditionally stable Gauge-Uzawa finite element methods for the Darcy-Brinkman equations driven by temperature and salt concentration. (English) Zbl 07830310 Bull. Korean Math. Soc. 61, No. 1, 93-115 (2024). MSC: 65Mxx 35Qxx 76Dxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Junxiang; Li, Yibao; Kim, Junseok A structure-preserving projection method with formal second-order accuracy for the incompressible Navier-Stokes equations. (English) Zbl 07827653 Commun. Nonlinear Sci. Numer. Simul. 133, Article ID 107963, 14 p. (2024). MSC: 65Mxx 76Mxx 76Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Hawkins, Elizabeth; Rebholz, Leo G.; Vargun, Duygu Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation. (English) Zbl 1549.65364 Commun. Math. Res. 40, No. 1, 1-29 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 35Q30 76M10 76M20 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bir, Bikram; Goswami, Deepjyoti; Pani, Amiya K. Optimal error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data. (English) Zbl 1532.65075 J. Sci. Comput. 98, No. 2, Paper No. 51, 42 p. (2024). MSC: 65M60 65M06 65N30 65M15 76D05 76M10 76M20 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El-Amrani, Mofdi; Obbadi, Anouar; Seaid, Mohammed; Yakoubi, Driss Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows. (English) Zbl 1536.76028 Comput. Methods Appl. Mech. Eng. 419, Article ID 116639, 17 p. (2024). MSC: 76D05 76A05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jinting; Yi, Nianyu; Chen, Yaoyao Optimal error estimates of a SAV-FEM for the Cahn-Hilliard-Navier-Stokes model. (English) Zbl 07756782 J. Comput. Appl. Math. 438, Article ID 115577, 28 p. (2024). MSC: 65Mxx 76Dxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Ren, Yuhang; Liu, Demin Research on three kinds of splitting finite element schemes for 2D/3D unsteady incompressible thermomicropolar fluid equations. (English) Zbl 07847176 Int. J. Numer. Methods Fluids 95, No. 7, 1148-1173 (2023). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Weber, Franziska; Yue, Yukun On the convergence of an IEQ-based first-order semi-discrete scheme for the Beris-Edwards system. (English) Zbl 1531.65127 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3275-3302 (2023). MSC: 65M06 65M12 76D05 76A15 26A33 35D30 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Si, Zhiyong; Guo, Xiaonan; Wang, Yunxia A modified characteristics projection finite element method for the non-stationary incompressible thermally coupled MHD equations. (English) Zbl 1538.76056 Math. Methods Appl. Sci. 46, No. 16, 17422-17460 (2023). MSC: 76D05 35Q30 65M60 65N30 76M10 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Qianqian; He, Xiaoming; Long, Xiaonian; Mao, Shipeng Error analysis of a fully discrete projection method for magnetohydrodynamic system. (English) Zbl 07776970 Numer. Methods Partial Differ. Equations 39, No. 2, 1449-1477 (2023). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Si, Zhiyong; Hou, Akang; Wang, Yunxia A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations. (English) Zbl 1527.76035 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107496, 30 p. (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 76M10 76W05 65M15 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Fukeng; Shen, Jie Stability and error analysis of a second-order consistent splitting scheme for the Navier-Stokes equations. (English) Zbl 1529.65100 SIAM J. Numer. Anal. 61, No. 5, 2408-2433 (2023). MSC: 65M70 65M60 65M06 65N35 65N30 65M12 65M15 76D05 76D07 76M22 76M20 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xue; Zhang, Yimeng; Rui, Hongxing A stable pressure-correction MAC scheme for the fluid-poroelastic material interaction problem. (English) Zbl 1538.65281 Int. J. Comput. Math. 100, No. 8, 1683-1701 (2023). MSC: 65M06 65N06 65N12 65M15 76D07 35Q35 74F10 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Tianyang; Wang, Jilu; Wang, Na; Zhang, Zhimin Optimal-order convergence of a two-step BDF method for the Navier-Stokes equations with \(H^1\) initial data. (English) Zbl 1518.35527 J. Sci. Comput. 96, No. 2, Paper No. 62, 22 p. (2023). MSC: 35Q30 76D05 65M60 65M06 65N30 65M50 65B05 65M12 65M15 76M10 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Gallouët, T.; Herbin, R.; Latché, J. C.; Maltese, D. Convergence of the fully discrete incremental projection scheme for incompressible flows. (English) Zbl 1519.35225 J. Math. Fluid Mech. 25, No. 3, Paper No. 63, 26 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 35Q30 65M08 65M06 65N08 65N12 76M12 76M20 76D05 35B45 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Xia, Qing; Liu, Yuehan; Kim, Junseok; Li, Yibao Binary thermal fluids computation over arbitrary surfaces with second-order accuracy and unconditional energy stability based on phase-field model. (English) Zbl 07715666 J. Comput. Appl. Math. 433, Article ID 115319, 22 p. (2023). MSC: 65Mxx 76Mxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Ingimarson, Sean; Neda, Monika; Rebholz, Leo G.; Reyes, Jorge; Vu, An Improved long time accuracy for projection methods for Navier-Stokes equations using EMAC formulation. (English) Zbl 1524.65550 Int. J. Numer. Anal. Model. 20, No. 2, 176-198 (2023). MSC: 65M60 76D05 35Q30 65N12 65N15 65N30 65M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xiaoli; Shen, Jie Error estimate of a consistent splitting GSAV scheme for the Navier-Stokes equations. (English) Zbl 07705780 Appl. Numer. Math. 188, 62-74 (2023). MSC: 65Mxx 76Dxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aggul, Mustafa; Eroglu, Fatma G.; Kaya, Songül Artificial compression method for MHD system in Elsässer variables. (English) Zbl 07698999 Appl. Numer. Math. 185, 72-87 (2023). MSC: 65Mxx 76Mxx 76Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Ren, Jinmiao; Wang, Bo; Zou, Guang-an A Crank-Nicolson discontinuous Galerkin pressure-projection method for the hydrodynamic and sediment transport model. (English) Zbl 1538.76113 Comput. Math. Appl. 142, 175-197 (2023). MSC: 76M10 65M60 76D05 35Q30 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Wei-Wei; Jiang, Yao-Lin; Miao, Zhen Numerical analysis of projection methods for the time-dependent Navier-Stokes equations with modular grad-div stabilization. (English) Zbl 1538.76049 Comput. Math. Appl. 141, 145-158 (2023). MSC: 76D05 76M10 35Q30 65M60 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Huifang; Zhang, Tong Unconditional stability and convergence of fully discrete FEM for the viscoelastic Oldroyd flow with an introduced auxiliary variable. (English) Zbl 1515.65304 J. Korean Math. Soc. 60, No. 2, 273-302 (2023). MSC: 65N30 65N12 76A10 × Cite Format Result Cite Review PDF Full Text: DOI
Ren, Yuhang; Liu, Demin Pressure correction projection finite element method for the 2D/3D time-dependent thermomicropolar fluid problem. (English) Zbl 1538.76055 Comput. Math. Appl. 136, 136-150 (2023). MSC: 76D05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Nan; Yang, Huanhuan Fast and accurate artificial compressibility ensemble algorithms for computing parameterized Stokes-Darcy flow ensembles. (English) Zbl 1504.65205 J. Sci. Comput. 94, No. 1, Paper No. 17, 30 p. (2023). MSC: 65M60 65M06 65N30 65F10 76S05 76N10 76T06 76M10 76M20 35Q35 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Weilong Novel pressure-correction schemes based on scalar auxiliary variable method for the MHD equations. (English) Zbl 1510.76116 Appl. Math. Comput. 437, Article ID 127550, 11 p. (2023). MSC: 76M20 65M06 65M12 76E25 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xiaoli; Shen, Jie Error analysis of a fully discrete consistent splitting MAC scheme for time dependent Stokes equations. (English) Zbl 1502.76066 J. Comput. Appl. Math. 421, Article ID 114892, 19 p. (2023). MSC: 76M20 76D07 65M06 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xi; Luo, Yan; Feng, Minfu An efficient Chorin-Temam projection proper orthogonal decomposition based reduced-order model for nonstationary Stokes equations. (English) Zbl 1503.65239 J. Sci. Comput. 93, No. 3, Paper No. 64, 26 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D07 76M10 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Buyang; Ma, Shu; Ueda, Yuki Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data. (English) Zbl 1503.65238 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2105-2139 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76M10 76M20 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xiaodi; Ding, Qianqian A decoupled, unconditionally energy stable and charge-conservative finite element method for inductionless magnetohydrodynamic equations. (English) Zbl 1524.76533 Comput. Math. Appl. 127, 80-96 (2022). MSC: 76W05 76M10 65N30 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Matsui, Kazunori A projection method for Navier-Stokes equations with a boundary condition including the total pressure. (English) Zbl 1530.65123 Numer. Math. 152, No. 3, 663-699 (2022). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 65M60 65M06 65N30 65M12 65M15 76D03 76D05 76M10 76M20 35D30 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Buyang; Ma, Shu; Schratz, Katharina A semi-implicit exponential low-regularity integrator for the Navier-Stokes equations. (English) Zbl 1503.65237 SIAM J. Numer. Anal. 60, No. 4, 2273-2292 (2022). Reviewer: Lijun Yi (Shanghai) MSC: 65M60 65M06 65N30 65N35 65M12 65M15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kashefi, Ali; Mukerji, Tapan Physics-informed PointNet: a deep learning solver for steady-state incompressible flows and thermal fields on multiple sets of irregular geometries. (English) Zbl 07578916 J. Comput. Phys. 468, Article ID 111510, 31 p. (2022). MSC: 76Mxx 65Mxx 76Dxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Si, Zhiyong; Wang, Mingyi; Wang, Yunxia A projection method for the non-stationary incompressible MHD coupled with the heat equations. (English) Zbl 1510.76092 Appl. Math. Comput. 428, Article ID 127217, 23 p. (2022). MSC: 76M10 76W05 35Q30 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xiaoli; Wang, Weilong; Shen, Jie Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations. (English) Zbl 1492.65269 SIAM J. Numer. Anal. 60, No. 3, 1026-1054 (2022). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M60 65M06 65N30 65M12 65M15 76E25 76W05 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xiaoli; Shen, Jie; Liu, Zhengguang New SAV-pressure correction methods for the Navier-Stokes equations: stability and error Analysis. (English) Zbl 1479.35625 Math. Comput. 91, No. 333, 141-167 (2022). MSC: 35Q30 65M06 65N06 65M12 65M15 65J15 35B35 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Tong; Yuan, JinYun Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations. (English) Zbl 1490.65217 J. Sci. Comput. 90, No. 1, Paper No. 1, 20 p. (2022). MSC: 65M60 65M12 65M15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Xinlong; Huang, Xueling; Wang, Kun Error estimate of unconditionally stable and decoupled linear positivity-preserving FEM for the chemotaxis-Stokes equations. (English) Zbl 1480.65254 SIAM J. Numer. Anal. 59, No. 6, 3052-3076 (2021). MSC: 65M60 65M06 65N30 65M15 65M12 35D30 76D07 92C17 35Q35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jinting; Zhang, Tong The Euler implicit/explicit FEM for the Kelvin-Voigt model based on the scalar auxiliary variable (SAV) approach. (English) Zbl 1476.65258 Comput. Appl. Math. 40, No. 4, Paper No. 133, 18 p. (2021). MSC: 65M60 35Q35 76A10 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Hui; Azaiez, Mejdi; Xu, Chuanju New unconditionally stable schemes for the Navier-Stokes equations. (English) Zbl 1474.65449 Commun. Comput. Phys. 30, No. 4, 1083-1117 (2021). MSC: 65N30 35Q30 35A35 65N22 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Xia, Qing; Yu, Qian; Li, Yibao A second-order accurate, unconditionally energy stable numerical scheme for binary fluid flows on arbitrarily curved surfaces. (English) Zbl 1506.76116 Comput. Methods Appl. Mech. Eng. 384, Article ID 113987, 21 p. (2021). MSC: 76M12 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Wentao; Li, Buyang; Li, Ying Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions. (English) Zbl 1477.65156 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 103-147 (2021). MSC: 65M60 65M22 65N30 65M12 65M15 35B65 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Buyang; Ma, Shu; Wang, Na Second-order convergence of the linearly extrapolated Crank-Nicolson method for the Navier-Stokes equations with \(H^1\) initial data. (English) Zbl 1491.65097 J. Sci. Comput. 88, No. 3, Paper No. 70, 20 p. (2021). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76M10 76M20 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Le Balc’h, Kévin; Tucsnak, Marius A penalty approach to the infinite horizon LQR optimal control problem for the linearized Boussinesq system. (English) Zbl 1467.49025 ESAIM, Control Optim. Calc. Var. 27, Paper No. 17, 30 p. (2021). MSC: 49N10 93B05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
He, Mingyan; Sun, Pengtao Mixed finite element method for modified Poisson-Nernst-Planck/Navier-Stokes equations. (English) Zbl 1473.65197 J. Sci. Comput. 87, No. 3, Paper No. 80, 33 p. (2021). MSC: 65M60 65M06 65N30 65M12 65M15 78A30 35Q60 35Q56 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng Decoupled, linear, and unconditionally energy stable fully discrete finite element numerical scheme for a two-phase ferrohydrodynamics model. (English) Zbl 1469.65152 SIAM J. Sci. Comput. 43, No. 1, B167-B193 (2021). Reviewer: J. Manimaran (Ponda) MSC: 65M60 65M06 65M12 76D05 76W05 78A30 35Q35 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Buyang A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier-Stokes equations. (English) Zbl 1459.35313 Numer. Math. 147, No. 2, 283-304 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 65M15 65M60 35B65 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
An, Rong; Zhang, Chao; Li, Yuan Temporal convergence analysis of an energy preserving projection method for a coupled magnetohydrodynamics equations. (English) Zbl 1456.65103 J. Comput. Appl. Math. 386, Article ID 113236, 21 p. (2021). MSC: 65M60 65M22 65N30 65M12 65M15 76W05 76D05 35Q61 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Lianlei; Ni, Naxian; Yang, Zhiguo; Dong, Suchuan An energy-stable scheme for incompressible Navier-Stokes equations with periodically updated coefficient matrix. (English) Zbl 07506177 J. Comput. Phys. 418, Article ID 109624, 31 p. (2020). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, Rong; Zhou, Can; Su, Jian A new higher order fractional-step method for the incompressible Navier-Stokes equations. (English) Zbl 1488.65217 Adv. Appl. Math. Mech. 12, No. 2, 362-385 (2020). MSC: 65M06 65N06 65M12 65M15 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Junxiang; Kim, Junseok A phase-field model and its efficient numerical method for two-phase flows on arbitrarily curved surfaces in 3D space. (English) Zbl 1506.76104 Comput. Methods Appl. Mech. Eng. 372, Article ID 113382, 21 p. (2020). MSC: 76M10 65M60 76D05 76T06 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Xiaojuan; Wang, Yunxia; Si, Zhiyong A rotational pressure-correction projection methods for unsteady incompressible magnetohydrodynamics equations. (English) Zbl 1465.76057 Appl. Math. Comput. 387, Article ID 124488, 21 p. (2020). MSC: 76M10 76W05 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Layton, William; McLaughlin, Michael Doubly-adaptive artificial compression methods for incompressible flow. (English) Zbl 1452.65239 J. Numer. Math. 28, No. 3, 175-192 (2020). MSC: 65M60 65M06 65N30 65L12 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yi; Hou, Yanren; Rong, Yao A second-order artificial compression method for the evolutionary Stokes-Darcy system. (English) Zbl 1507.76114 Numer. Algorithms 84, No. 3, 1019-1048 (2020). MSC: 76M10 76S05 76D07 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Lianlei; Liu, Xiaoyu; Dong, Suchuan A gPAV-based unconditionally energy-stable scheme for incompressible flows with outflow/open boundaries. (English) Zbl 1442.76044 Comput. Methods Appl. Mech. Eng. 365, Article ID 112969, 37 p. (2020). MSC: 76D05 65M70 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Lianlei; Yang, Zhiguo; Dong, Suchuan Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable. (English) Zbl 1452.76093 J. Comput. Phys. 388, 1-22 (2019). MSC: 76M10 76D05 65M60 65M70 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deteix, J.; Yakoubi, D. Shear rate projection schemes for non-Newtonian fluids. (English) Zbl 1441.76014 Comput. Methods Appl. Mech. Eng. 354, 620-636 (2019). MSC: 76A05 35Q35 76M10 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Feng; Shen, Jie Stability and convergence analysis of rotational velocity correction methods for the Navier-Stokes equations. (English) Zbl 1435.65119 Adv. Comput. Math. 45, No. 5-6, 3123-3136 (2019). MSC: 65M06 65N35 65M12 65M15 76D05 76U05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yun-Bo; Jiang, Yao-Lin; Kong, Qiong-Xiang A higher order pressure segregation scheme for the time-dependent magnetohydrodynamics equations. (English) Zbl 1524.65621 Appl. Math., Praha 64, No. 5, 531-556 (2019). MSC: 65M60 65N15 65N30 65N12 76W05 35B20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Liu, Cui; Si, Zhiyong An incremental pressure correction finite element method for the time-dependent Oldroyd flows. (English) Zbl 1431.65174 Appl. Math. Comput. 351, 99-115 (2019). MSC: 65M60 35Q35 65M12 76A10 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Hausenblas, Erika; Randrianasolo, Tsiry A. Time-discretization of stochastic 2-D Navier-Stokes equations with a penalty-projection method. (English) Zbl 1423.76093 Numer. Math. 143, No. 2, 339-378 (2019). MSC: 76D05 60H15 65J15 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia Fully discrete approximations to the time-dependent Navier-Stokes equations with a projection method in time and grad-div stabilization. (English) Zbl 1477.65158 J. Sci. Comput. 80, No. 2, 1330-1368 (2019); corrigenda ibid. 88, No. 2, Paper No. 40, 3 p. (2021). MSC: 65M60 35Q30 65M12 65M15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Jiang, Nan A pressure-correction ensemble scheme for computing evolutionary Boussinesq equations. (English) Zbl 1466.65137 J. Sci. Comput. 80, No. 1, 315-350 (2019). MSC: 65M60 65M12 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yunzhang Stability and convergence of first order time discrete linearized pressure correction projection method for the diffusive Peterlin viscoelastic model. (English) Zbl 1416.76135 Appl. Numer. Math. 139, 93-114 (2019). MSC: 76M10 65M06 65M60 65M12 65M15 76M20 76A10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Robin Ming; Layton, William; McLaughlin, Michael Analysis of variable-step/non-autonomous artificial compression methods. (English) Zbl 1411.76117 J. Math. Fluid Mech. 21, No. 2, Paper No. 30, 20 p. (2019). MSC: 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lei, Yanfang; Wang, Hongtao; Si, Zhiyong Optimal error estimate of the penalty FEM for the stationary conduction-convection problems. (English) Zbl 1488.76085 Adv. Appl. Math. Mech. 10, No. 3, 767-784 (2018). MSC: 76M10 65N12 65N30 35K61 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Wang, Jinrong Numerical analysis for Navier-Stokes equations with time fractional derivatives. (English) Zbl 1427.76177 Appl. Math. Comput. 336, 481-489 (2018). MSC: 76M20 76M22 65M70 35R11 65M15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem. (English) Zbl 1426.76245 Appl. Math. Comput. 322, 154-173 (2018). MSC: 76M10 65M60 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhao, Jing; Zhang, Tong; Qian, Yanxia Stability and convergence of second order time discrete projection method for the linearized Oldroyd model. (English) Zbl 1426.76324 Appl. Math. Comput. 316, 342-356 (2018). MSC: 76M10 76D05 65M60 65M15 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Gunzburger, Max; Jiang, Nan; Xu, Feifei Analysis and approximation of a fractional Laplacian-based closure model for turbulent flows and its connection to Richardson pair dispersion. (English) Zbl 1409.76061 Comput. Math. Appl. 75, No. 6, 1973-2001 (2018). MSC: 76M10 65M60 76D05 35R11 35Q35 76F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yunxia; Li, Shishun; Si, Zhiyong A second order in time incremental pressure correction finite element method for the Navier-Stokes/Darcy problem. (English) Zbl 1405.76011 ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1477-1500 (2018). MSC: 76D05 35Q30 65M60 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Rong, Yao; Layton, William; Zhao, Haiyun Numerical analysis of an artificial compression method for magnetohydrodynamic flows at low magnetic Reynolds numbers. (English) Zbl 1396.76054 J. Sci. Comput. 76, No. 3, 1458-1483 (2018). MSC: 76M10 76W05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Kashefi, Ali; Staples, Anne E. A finite-element coarse-grid projection method for incompressible flow simulations. (English) Zbl 1398.35149 Adv. Comput. Math. 44, No. 4, 1063-1090 (2018). MSC: 35Q30 65Y20 65N30 65N55 76D05 65M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv