Siddiqua, Farjana; Xie, Xihui Numerical analysis of a corrected Smagorinsky model. (English) Zbl 07779714 Numer. Methods Partial Differ. Equations 39, No. 1, 356-382 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76F65 76D05 35A01 35A02 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{F. Siddiqua} and \textit{X. Xie}, Numer. Methods Partial Differ. Equations 39, No. 1, 356--382 (2023; Zbl 07779714) Full Text: DOI arXiv
Shin, Dongwook; Jeon, Youngmok; Park, Eun-Jae Analysis of hybrid discontinuous Galerkin methods for linearized Navier-Stokes equations. (English) Zbl 07779712 Numer. Methods Partial Differ. Equations 39, No. 1, 304-328 (2023). MSC: 65N30 65N50 65N12 65N15 76D05 76M10 35A01 35A02 35Q30 PDFBibTeX XMLCite \textit{D. Shin} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 304--328 (2023; Zbl 07779712) Full Text: DOI
Qin, Yi; Wang, Yang; Hou, Yanren; Li, Jian An unconditionally stable artificial compression method for the time-dependent groundwater-surface water flows. (English) Zbl 07777375 Numer. Methods Partial Differ. Equations 39, No. 5, 3705-3724 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76D07 76S05 76N06 86A05 35Q30 PDFBibTeX XMLCite \textit{Y. Qin} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3705--3724 (2023; Zbl 07777375) Full Text: DOI
Zhao, Wenju Higher order weak Galerkin methods for the Navier-Stokes equations with large Reynolds number. (English) Zbl 07779687 Numer. Methods Partial Differ. Equations 38, No. 6, 1967-1992 (2022). MSC: 65M60 65M06 65N30 65H10 76D05 76D10 76D17 76M10 76M20 35Q30 PDFBibTeX XMLCite \textit{W. Zhao}, Numer. Methods Partial Differ. Equations 38, No. 6, 1967--1992 (2022; Zbl 07779687) Full Text: DOI
Chen, Wenbin; Han, Daozhi; Wang, Xiaoming; Zhang, Yichao Conservative unconditionally stable decoupled numerical schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq system. (English) Zbl 07779680 Numer. Methods Partial Differ. Equations 38, No. 6, 1823-1842 (2022). MSC: 65M60 65M06 65N30 76S05 76D05 76D07 76T06 76R10 35K05 35B35 35Q35 35Q79 PDFBibTeX XMLCite \textit{W. Chen} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1823--1842 (2022; Zbl 07779680) Full Text: DOI OA License
Layton, William; Pei, Wenlong; Qin, Yi; Trenchea, Catalin Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow. (English) Zbl 07779676 Numer. Methods Partial Differ. Equations 38, No. 6, 1713-1737 (2022). MSC: 65M60 65L06 65L20 65N30 65N50 65M15 76D05 35A24 35B45 PDFBibTeX XMLCite \textit{W. Layton} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1713--1737 (2022; Zbl 07779676) Full Text: DOI arXiv
Guo, Liming; Chen, Wenbin Decoupled modified characteristic finite element method for the time-dependent Navier-Stokes/Biot problem. (English) Zbl 07779675 Numer. Methods Partial Differ. Equations 38, No. 6, 1684-1712 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76S05 74F10 74L10 76M10 76M20 74S05 74S20 35Q35 35Q74 PDFBibTeX XMLCite \textit{L. Guo} and \textit{W. Chen}, Numer. Methods Partial Differ. Equations 38, No. 6, 1684--1712 (2022; Zbl 07779675) Full Text: DOI
Nassreddine, Ghina; Omnes, Pascal; Sayah, Toni A posteriori error estimates for the large eddy simulation applied to stationary Navier-Stokes equations. (English) Zbl 07778304 Numer. Methods Partial Differ. Equations 38, No. 5, 1468-1498 (2022). MSC: 65N30 65N15 76F65 76D05 76M10 35A15 35Q35 PDFBibTeX XMLCite \textit{G. Nassreddine} et al., Numer. Methods Partial Differ. Equations 38, No. 5, 1468--1498 (2022; Zbl 07778304) Full Text: DOI
Darian, Hossein Mahmoodi; Bozorgpour, Reza; Shafaee, Maziar Numerical experiments on a hybrid WENO5 filter for shock-capturing. (English) Zbl 1430.76379 Numer. Methods Partial Differ. Equations 35, No. 6, 2375-2406 (2019). MSC: 76M20 65M06 65L06 65N06 76N15 76D05 76L05 PDFBibTeX XMLCite \textit{H. M. Darian} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 2375--2406 (2019; Zbl 1430.76379) Full Text: DOI
Li, Jian; Huang, Pengzhan; Zhang, Chong; Guo, Gaihui A linear, decoupled fractional time-stepping method for the nonlinear fluid-fluid interaction. (English) Zbl 1423.76253 Numer. Methods Partial Differ. Equations 35, No. 5, 1873-1889 (2019). MSC: 76M10 76M20 65M06 65N30 76D05 35R11 76T99 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 35, No. 5, 1873--1889 (2019; Zbl 1423.76253) Full Text: DOI
Rong, Yao; Layton, William; Zhao, Haiyun Extension of a simplified Baldwin-Lomax model to nonequilibrium turbulence: model, analysis and algorithms. (English) Zbl 1423.76271 Numer. Methods Partial Differ. Equations 35, No. 5, 1821-1846 (2019). MSC: 76M10 76F65 76D05 76M20 PDFBibTeX XMLCite \textit{Y. Rong} et al., Numer. Methods Partial Differ. Equations 35, No. 5, 1821--1846 (2019; Zbl 1423.76271) Full Text: DOI
Decaria, Victor; Layton, William; Mclaughlin, Michael An analysis of the Robert-Asselin time filter for the correction of nonphysical acoustics in an artificial compression method. (English) Zbl 1418.76031 Numer. Methods Partial Differ. Equations 35, No. 3, 916-935 (2019). MSC: 76M10 65M60 65M06 35Q30 76D05 76Q05 35Q86 86A05 PDFBibTeX XMLCite \textit{V. Decaria} et al., Numer. Methods Partial Differ. Equations 35, No. 3, 916--935 (2019; Zbl 1418.76031) Full Text: DOI
Viguerie, Alex; Xiao, Mengying Effective Chorin-Temam algebraic splitting schemes for the steady Navier-Stokes equations. (English) Zbl 1416.76131 Numer. Methods Partial Differ. Equations 35, No. 2, 805-829 (2019). MSC: 76M10 65N30 76D05 35Q30 65N12 65H10 65F08 PDFBibTeX XMLCite \textit{A. Viguerie} and \textit{M. Xiao}, Numer. Methods Partial Differ. Equations 35, No. 2, 805--829 (2019; Zbl 1416.76131) Full Text: DOI
Ben-Artzi, Matania; Croisille, Jean-Pierre; Fishelov, Dalia Time evolution of discrete fourth-order elliptic operators. (English) Zbl 1418.65096 Numer. Methods Partial Differ. Equations 35, No. 4, 1429-1457 (2019). MSC: 65M06 35K52 35J30 65M12 35Q35 76D05 PDFBibTeX XMLCite \textit{M. Ben-Artzi} et al., Numer. Methods Partial Differ. Equations 35, No. 4, 1429--1457 (2019; Zbl 1418.65096) Full Text: DOI
Jia, Xiaofeng; Li, Jichun; Jia, Hongen Decoupled characteristic stabilized finite element method for time-dependent Navier-Stokes/Darcy model. (English) Zbl 1419.65064 Numer. Methods Partial Differ. Equations 35, No. 1, 267-294 (2019). MSC: 65M60 65M25 35Q35 76D05 76S05 65M15 PDFBibTeX XMLCite \textit{X. Jia} et al., Numer. Methods Partial Differ. Equations 35, No. 1, 267--294 (2019; Zbl 1419.65064) Full Text: DOI
Li, Jian; Lin, Xiaolin; Zhao, Xin Optimal estimates on stabilized finite volume methods for the incompressible Navier-Stokes model in three dimensions. (English) Zbl 1419.65039 Numer. Methods Partial Differ. Equations 35, No. 1, 128-154 (2019). MSC: 65M08 65M60 35Q30 76D05 35A15 65M12 65M15 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 35, No. 1, 128--154 (2019; Zbl 1419.65039) Full Text: DOI
Isik, Osman Rasit; Yuksel, Gamze; Demir, Bulent Analysis of second order and unconditionally stable BDF2-AB2 method for the Navier-Stokes equations with nonlinear time relaxation. (English) Zbl 1407.76064 Numer. Methods Partial Differ. Equations 34, No. 6, 2060-2078 (2018). MSC: 76M10 76M20 65M06 65L06 65M60 65M12 35Q35 76D05 76F65 PDFBibTeX XMLCite \textit{O. R. Isik} et al., Numer. Methods Partial Differ. Equations 34, No. 6, 2060--2078 (2018; Zbl 1407.76064) Full Text: DOI
Yan, Jinliang; Zhang, Zhiyue; Zhao, Tengjin; Liang, Dong High-order energy-preserving schemes for the improved Boussinesq equation. (English) Zbl 1407.76109 Numer. Methods Partial Differ. Equations 34, No. 4, 1145-1165 (2018). MSC: 76M22 65M70 65P10 76D05 35Q35 PDFBibTeX XMLCite \textit{J. Yan} et al., Numer. Methods Partial Differ. Equations 34, No. 4, 1145--1165 (2018; Zbl 1407.76109) Full Text: DOI
Agroum, Rahma A posteriori error analysis for solving the Navier-Stokes problem and convection-diffusion equation. (English) Zbl 1388.76120 Numer. Methods Partial Differ. Equations 34, No. 2, 401-418 (2018). MSC: 76M10 65N30 65N15 76D05 PDFBibTeX XMLCite \textit{R. Agroum}, Numer. Methods Partial Differ. Equations 34, No. 2, 401--418 (2018; Zbl 1388.76120) Full Text: DOI
Li, Jian; Lin, Xiaolin; Zhao, Xin Numerical analysis of a Picard multilevel stabilization of mixed finite volume method for the 2D/3D incompressible flow with large data. (English) Zbl 1390.65136 Numer. Methods Partial Differ. Equations 34, No. 1, 30-50 (2018). MSC: 65N08 65N12 65N30 35Q30 76D05 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 34, No. 1, 30--50 (2018; Zbl 1390.65136) Full Text: DOI
Wang, Wansheng Dissipativity of the linearly implicit Euler scheme for Navier-Stokes equations with delay. (English) Zbl 1386.65147 Numer. Methods Partial Differ. Equations 33, No. 6, 2114-2140 (2017). MSC: 65J08 65M20 76M25 76D05 PDFBibTeX XMLCite \textit{W. Wang}, Numer. Methods Partial Differ. Equations 33, No. 6, 2114--2140 (2017; Zbl 1386.65147) Full Text: DOI
Camaño, Jessika; Gatica, Gabriel N.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity. (English) Zbl 1394.65143 Numer. Methods Partial Differ. Equations 33, No. 5, 1692-1725 (2017). MSC: 65N30 76M10 65N15 76D05 PDFBibTeX XMLCite \textit{J. Camaño} et al., Numer. Methods Partial Differ. Equations 33, No. 5, 1692--1725 (2017; Zbl 1394.65143) Full Text: DOI Link
Akbas, M.; Kaya, S.; Rebholz, L. G. On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems. (English) Zbl 1439.76043 Numer. Methods Partial Differ. Equations 33, No. 4, 999-1017 (2017). MSC: 76M10 76D05 76W05 65M20 65L06 65L20 65M60 PDFBibTeX XMLCite \textit{M. Akbas} et al., Numer. Methods Partial Differ. Equations 33, No. 4, 999--1017 (2017; Zbl 1439.76043) Full Text: DOI
Qiu, Hailong; Zhang, Yongchao; Mei, Liquan; Xue, Changfeng A penalty-FEM for Navier-Stokes type variational inequality with nonlinear damping term. (English) Zbl 1397.76076 Numer. Methods Partial Differ. Equations 33, No. 3, 918-940 (2017). MSC: 76M10 65N30 65K15 65N15 76D05 PDFBibTeX XMLCite \textit{H. Qiu} et al., Numer. Methods Partial Differ. Equations 33, No. 3, 918--940 (2017; Zbl 1397.76076) Full Text: DOI
Aggul, Mustafa; Labovsky, Alexander A high accuracy minimally invasive regularization technique for Navier-Stokes equations at high Reynolds number. (English) Zbl 1397.76058 Numer. Methods Partial Differ. Equations 33, No. 3, 814-839 (2017). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{M. Aggul} and \textit{A. Labovsky}, Numer. Methods Partial Differ. Equations 33, No. 3, 814--839 (2017; Zbl 1397.76058) Full Text: DOI Link
Qian, Lingzhi; Chen, Jinru; Feng, Xinlong Local projection stabilized and characteristic decoupled scheme for the fluid-fluid interaction problems. (English) Zbl 1397.76075 Numer. Methods Partial Differ. Equations 33, No. 3, 704-723 (2017). MSC: 76M10 65M60 65M25 76D05 PDFBibTeX XMLCite \textit{L. Qian} et al., Numer. Methods Partial Differ. Equations 33, No. 3, 704--723 (2017; Zbl 1397.76075) Full Text: DOI
Qiu, Hailong; Mei, Liquan; Zhang, Yongchao Two-grid variational multiscale algorithms for the stationary incompressible Navier-Stokes equations with friction boundary conditions. (English) Zbl 1457.76058 Numer. Methods Partial Differ. Equations 33, No. 2, 546-569 (2017). MSC: 76D05 76M30 65M15 PDFBibTeX XMLCite \textit{H. Qiu} et al., Numer. Methods Partial Differ. Equations 33, No. 2, 546--569 (2017; Zbl 1457.76058) Full Text: DOI
Shang, Yueqiang; Qin, Jin A two-parameter stabilized finite element method for incompressible flows. (English) Zbl 1457.76060 Numer. Methods Partial Differ. Equations 33, No. 2, 425-444 (2017). MSC: 76D05 76M10 PDFBibTeX XMLCite \textit{Y. Shang} and \textit{J. Qin}, Numer. Methods Partial Differ. Equations 33, No. 2, 425--444 (2017; Zbl 1457.76060) Full Text: DOI
Jiang, Nan A second-order ensemble method based on a blended backward differentiation formula timestepping scheme for time-dependent Navier-Stokes equations. (English) Zbl 1469.76074 Numer. Methods Partial Differ. Equations 33, No. 1, 34-61 (2017). MSC: 76M20 76D05 65M15 PDFBibTeX XMLCite \textit{N. Jiang}, Numer. Methods Partial Differ. Equations 33, No. 1, 34--61 (2017; Zbl 1469.76074) Full Text: DOI arXiv
Cai, Zhiqiang; Chen, Binghe Least-squares method for the Oseen equation. (English) Zbl 1407.76026 Numer. Methods Partial Differ. Equations 32, No. 4, 1289-1303 (2016). MSC: 76D05 76M10 65N30 65N15 PDFBibTeX XMLCite \textit{Z. Cai} and \textit{B. Chen}, Numer. Methods Partial Differ. Equations 32, No. 4, 1289--1303 (2016; Zbl 1407.76026) Full Text: DOI
Morales Hernandez, Monica; Rebholz, Leo G.; Tone, Cristina; Tone, Florentina Stability of the Crank-Nicolson-Adams-Bashforth scheme for the 2D Leray-\(\alpha\) model. (English) Zbl 1382.65277 Numer. Methods Partial Differ. Equations 32, No. 4, 1155-1183 (2016). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M12 65M06 76D05 76F02 76F65 76M10 35Q30 PDFBibTeX XMLCite \textit{M. Morales Hernandez} et al., Numer. Methods Partial Differ. Equations 32, No. 4, 1155--1183 (2016; Zbl 1382.65277) Full Text: DOI
Takhirov, Aziz; Neda, Monika; Waters, Jiajia Time relaxation algorithm for flow ensembles. (English) Zbl 1381.76204 Numer. Methods Partial Differ. Equations 32, No. 3, 757-777 (2016). MSC: 76M10 65M60 65M12 76D05 86A05 PDFBibTeX XMLCite \textit{A. Takhirov} et al., Numer. Methods Partial Differ. Equations 32, No. 3, 757--777 (2016; Zbl 1381.76204) Full Text: DOI
Ravindran, S. S. A second-order backward difference time-stepping scheme for penalized Navier-Stokes equations modeling filtration through porous media. (English) Zbl 1381.76196 Numer. Methods Partial Differ. Equations 32, No. 2, 681-705 (2016). MSC: 76M10 65M60 65M15 76D05 76S05 PDFBibTeX XMLCite \textit{S. S. Ravindran}, Numer. Methods Partial Differ. Equations 32, No. 2, 681--705 (2016; Zbl 1381.76196) Full Text: DOI
Ren, Jincheng; Ma, Yue A superconvergent nonconforming mixed finite element method for the Navier-Stokes equations. (English) Zbl 1381.76197 Numer. Methods Partial Differ. Equations 32, No. 2, 646-660 (2016). MSC: 76M10 65N30 65N12 76D05 PDFBibTeX XMLCite \textit{J. Ren} and \textit{Y. Ma}, Numer. Methods Partial Differ. Equations 32, No. 2, 646--660 (2016; Zbl 1381.76197) Full Text: DOI
Arndt, Daniel; Dallmann, Helene; Lube, Gert Local projection FEM stabilization for the time-dependent incompressible Navier-Stokes problem. (English) Zbl 1446.76126 Numer. Methods Partial Differ. Equations 31, No. 4, 1224-1250 (2015). MSC: 76M10 76D05 76D07 65M12 PDFBibTeX XMLCite \textit{D. Arndt} et al., Numer. Methods Partial Differ. Equations 31, No. 4, 1224--1250 (2015; Zbl 1446.76126) Full Text: DOI
Bukač, Martina; Yotov, Ivan; Zunino, Paolo An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure. (English) Zbl 1329.74270 Numer. Methods Partial Differ. Equations 31, No. 4, 1054-1100 (2015). MSC: 74S05 65M60 74F10 76D05 PDFBibTeX XMLCite \textit{M. Bukač} et al., Numer. Methods Partial Differ. Equations 31, No. 4, 1054--1100 (2015; Zbl 1329.74270) Full Text: DOI
Zuo, Liyun; Hou, Yanren Numerical analysis for the mixed Navier-Stokes and Darcy problem with the Beavers-Joseph interface condition. (English) Zbl 1329.76194 Numer. Methods Partial Differ. Equations 31, No. 4, 1009-1030 (2015). MSC: 76M10 65N30 76D05 76S05 PDFBibTeX XMLCite \textit{L. Zuo} and \textit{Y. Hou}, Numer. Methods Partial Differ. Equations 31, No. 4, 1009--1030 (2015; Zbl 1329.76194) Full Text: DOI
Shang, Yueqiang A parallel finite element variational multiscale method based on fully overlapping domain decomposition for incompressible flows. (English) Zbl 1325.76122 Numer. Methods Partial Differ. Equations 31, No. 3, 856-875 (2015). MSC: 76M10 76M25 65N30 65N55 65Y05 76D05 PDFBibTeX XMLCite \textit{Y. Shang}, Numer. Methods Partial Differ. Equations 31, No. 3, 856--875 (2015; Zbl 1325.76122) Full Text: DOI
Bustamante, Carlos Andres; Power, Henry; Florez, Whady Felipe Schwarz alternating domain decomposition approach for the solution of two-dimensional Navier-Stokes flow problems by the method of approximate particular solutions. (English) Zbl 1325.65172 Numer. Methods Partial Differ. Equations 31, No. 3, 777-797 (2015). MSC: 65N80 65N55 76M25 76D05 PDFBibTeX XMLCite \textit{C. A. Bustamante} et al., Numer. Methods Partial Differ. Equations 31, No. 3, 777--797 (2015; Zbl 1325.65172) Full Text: DOI
Jiang, Nan; Layton, William Numerical analysis of two ensemble eddy viscosity numerical regularizations of fluid motion. (English) Zbl 1325.65135 Numer. Methods Partial Differ. Equations 31, No. 3, 630-651 (2015). MSC: 65M32 76D05 76M25 PDFBibTeX XMLCite \textit{N. Jiang} and \textit{W. Layton}, Numer. Methods Partial Differ. Equations 31, No. 3, 630--651 (2015; Zbl 1325.65135) Full Text: DOI
Yan, Wenjing; Gao, Zhiming Shape optimization in the Navier-Stokes flow with thermal effects. (English) Zbl 1308.76075 Numer. Methods Partial Differ. Equations 30, No. 5, 1700-1715 (2014). MSC: 76D05 76D55 76R50 65K10 49Q10 74F10 74P10 80A20 PDFBibTeX XMLCite \textit{W. Yan} and \textit{Z. Gao}, Numer. Methods Partial Differ. Equations 30, No. 5, 1700--1715 (2014; Zbl 1308.76075) Full Text: DOI
Li, Kaitai; Chen, Hao; Zhang, Yin; Wang, Shangjin A new boundary layer equation and its application to the flow in turbo-machinery. (English) Zbl 1308.76171 Numer. Methods Partial Differ. Equations 30, No. 5, 1455-1483 (2014). MSC: 76M10 65N30 76D05 76D10 PDFBibTeX XMLCite \textit{K. Li} et al., Numer. Methods Partial Differ. Equations 30, No. 5, 1455--1483 (2014; Zbl 1308.76171) Full Text: DOI
Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander On MAC schemes on triangular Delaunay meshes, their convergence and application to coupled flow problems. (English) Zbl 1383.76353 Numer. Methods Partial Differ. Equations 30, No. 4, 1397-1424 (2014). MSC: 76M12 65N08 65N12 76D05 76D07 PDFBibTeX XMLCite \textit{R. Eymard} et al., Numer. Methods Partial Differ. Equations 30, No. 4, 1397--1424 (2014; Zbl 1383.76353) Full Text: DOI
Lin, Qun; Ying, Lungan Interval vortex methods. (English) Zbl 1354.76124 Numer. Methods Partial Differ. Equations 30, No. 4, 1368-1396 (2014). MSC: 76M23 65G40 76D05 PDFBibTeX XMLCite \textit{Q. Lin} and \textit{L. Ying}, Numer. Methods Partial Differ. Equations 30, No. 4, 1368--1396 (2014; Zbl 1354.76124) Full Text: DOI
Iliescu, Traian; Wang, Zhu Variational multiscale proper orthogonal decomposition: Navier-Stokes equations. (English) Zbl 1452.76048 Numer. Methods Partial Differ. Equations 30, No. 2, 641-663 (2014). MSC: 76D05 76M10 76M30 PDFBibTeX XMLCite \textit{T. Iliescu} and \textit{Z. Wang}, Numer. Methods Partial Differ. Equations 30, No. 2, 641--663 (2014; Zbl 1452.76048) Full Text: DOI arXiv
Huang, Pengzhan Iterative methods in penalty finite element discretizations for the steady Navier-Stokes equations. (English) Zbl 1299.76042 Numer. Methods Partial Differ. Equations 30, No. 1, 74-94 (2014). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76D05 76M20 65N30 PDFBibTeX XMLCite \textit{P. Huang}, Numer. Methods Partial Differ. Equations 30, No. 1, 74--94 (2014; Zbl 1299.76042) Full Text: DOI
Zhao, Xin; Li, Jian; Su, Jian; Lei, Gang Analysis of Newton multilevel stabilized finite volume method for the three-dimensional stationary Navier-Stokes equations. (English) Zbl 1277.76055 Numer. Methods Partial Differ. Equations 29, No. 6, 2146-2160 (2013). MSC: 76M12 76D05 PDFBibTeX XMLCite \textit{X. Zhao} et al., Numer. Methods Partial Differ. Equations 29, No. 6, 2146--2160 (2013; Zbl 1277.76055) Full Text: DOI
Shang, Yueqiang Error analysis of a fully discrete finite element variational multiscale method for time-dependent incompressible Navier-Stokes equations. (English) Zbl 1277.76043 Numer. Methods Partial Differ. Equations 29, No. 6, 2025-2046 (2013). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{Y. Shang}, Numer. Methods Partial Differ. Equations 29, No. 6, 2025--2046 (2013; Zbl 1277.76043) Full Text: DOI
Li, Ying; Mei, Liquan; Li, Yueqiu; Zhao, Ke A two-level variational multiscale method for incompressible flows based on two local Gauss integrations. (English) Zbl 1277.76019 Numer. Methods Partial Differ. Equations 29, No. 6, 1986-2003 (2013). MSC: 76D05 35Q35 PDFBibTeX XMLCite \textit{Y. Li} et al., Numer. Methods Partial Differ. Equations 29, No. 6, 1986--2003 (2013; Zbl 1277.76019) Full Text: DOI
Liu, Qingfang; Hou, Yanren; Liu, Qingchang A two-level method in space and time for the Navier-Stokes equations. (English) Zbl 1274.76253 Numer. Methods Partial Differ. Equations 29, No. 5, 1504-1521 (2013). MSC: 76M10 76D05 76F65 PDFBibTeX XMLCite \textit{Q. Liu} et al., Numer. Methods Partial Differ. Equations 29, No. 5, 1504--1521 (2013; Zbl 1274.76253) Full Text: DOI
Chaudhary, Sudhakar; Kumar, V. V. K. Srinivas WEB-spline based mesh-free finite element analysis for the heat equation and the time-dependent Navier-Stokes equation: A survey. (English) Zbl 1280.65109 Numer. Methods Partial Differ. Equations 29, No. 4, 1322-1340 (2013). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 35K05 35Q30 76D05 76M10 76D07 65M12 65M15 PDFBibTeX XMLCite \textit{S. Chaudhary} and \textit{V. V. K. S. Kumar}, Numer. Methods Partial Differ. Equations 29, No. 4, 1322--1340 (2013; Zbl 1280.65109) Full Text: DOI
Cousins, Benjamin R.; Le Borne, Sabine; Linke, Alexander; Rebholz, Leo G.; Wang, Zhen Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements. (English) Zbl 1312.76025 Numer. Methods Partial Differ. Equations 29, No. 4, 1217-1237 (2013). MSC: 76M10 65N30 65N22 76D05 PDFBibTeX XMLCite \textit{B. R. Cousins} et al., Numer. Methods Partial Differ. Equations 29, No. 4, 1217--1237 (2013; Zbl 1312.76025) Full Text: DOI
Kubacki, Michaela Uncoupling evolutionary groundwater-surface water flows using the Crank-Nicolson leapfrog method. (English) Zbl 1312.76043 Numer. Methods Partial Differ. Equations 29, No. 4, 1192-1216 (2013). MSC: 76M20 65M06 65M12 76D05 76S05 PDFBibTeX XMLCite \textit{M. Kubacki}, Numer. Methods Partial Differ. Equations 29, No. 4, 1192--1216 (2013; Zbl 1312.76043) Full Text: DOI
He, Yinnian; Zhang, Yan; Shang, Yueqiang; Xu, Hui Two-level Newton iterative method for the 2D/3D steady Navier-Stokes equations. (English) Zbl 1390.65144 Numer. Methods Partial Differ. Equations 28, No. 5, 1620-1642 (2012). MSC: 65N30 76M10 35Q30 65N22 76D05 PDFBibTeX XMLCite \textit{Y. He} et al., Numer. Methods Partial Differ. Equations 28, No. 5, 1620--1642 (2012; Zbl 1390.65144) Full Text: DOI
Huang, Chinlong; Sheu, Tony W. H. Development of an upwinding particle interaction kernel for simulating incompressible Navier-Stokes equations. (English) Zbl 1390.65160 Numer. Methods Partial Differ. Equations 28, No. 5, 1574-1597 (2012). MSC: 65N75 35Q30 76D05 76M25 PDFBibTeX XMLCite \textit{C. Huang} and \textit{T. W. H. Sheu}, Numer. Methods Partial Differ. Equations 28, No. 5, 1574--1597 (2012; Zbl 1390.65160) Full Text: DOI Link
Bowers, Abigail L.; Rebholz, Leo G. Increasing accuracy and efficiency in FE computations of the Leray-deconvolution model. (English) Zbl 1414.76035 Numer. Methods Partial Differ. Equations 28, No. 2, 720-736 (2012). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{A. L. Bowers} and \textit{L. G. Rebholz}, Numer. Methods Partial Differ. Equations 28, No. 2, 720--736 (2012; Zbl 1414.76035) Full Text: DOI
Hannasch, David; Neda, Monika On the accuracy of the viscous form in simulations of incompressible flow problems. (English) Zbl 1410.76175 Numer. Methods Partial Differ. Equations 28, No. 2, 523-541 (2012). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{D. Hannasch} and \textit{M. Neda}, Numer. Methods Partial Differ. Equations 28, No. 2, 523--541 (2012; Zbl 1410.76175) Full Text: DOI
Kong, Fande; Ma, Yichen; Lu, Junxiang An optimization-based domain decomposition method for numerical simulation of the incompressible Navier-Stokes flows. (English) Zbl 1428.76048 Numer. Methods Partial Differ. Equations 27, No. 2, 255-276 (2011). MSC: 76D05 76M99 65M55 76M10 PDFBibTeX XMLCite \textit{F. Kong} et al., Numer. Methods Partial Differ. Equations 27, No. 2, 255--276 (2011; Zbl 1428.76048) Full Text: DOI
Lu, Junxiang; Ma, Yichen; Kong, Fande Numerical simulations for two-dimensional incompressible Navier-Stokes equations with stochastic boundary conditions. (English) Zbl 1218.76016 Numer. Methods Partial Differ. Equations 26, No. 3, 662-674 (2010). MSC: 76D05 76M35 60G35 65M75 PDFBibTeX XMLCite \textit{J. Lu} et al., Numer. Methods Partial Differ. Equations 26, No. 3, 662--674 (2010; Zbl 1218.76016) Full Text: DOI
Zhu, Jingtao; Ma, Yichen Fictitious domain method with penalty for an incompressible fluid. (English) Zbl 1425.65128 Numer. Methods Partial Differ. Equations 26, No. 1, 229-238 (2010). MSC: 65M85 76D05 76M25 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{Y. Ma}, Numer. Methods Partial Differ. Equations 26, No. 1, 229--238 (2010; Zbl 1425.65128) Full Text: DOI
Lu, Jun-Xiang; Ma, Yi-Chen Numerical simulations for two-dimensional stochastic incompressible Navier-Stokes equations. (English) Zbl 1423.76097 Numer. Methods Partial Differ. Equations 26, No. 1, 14-23 (2010). MSC: 76D05 76D06 35R60 PDFBibTeX XMLCite \textit{J.-X. Lu} and \textit{Y.-C. Ma}, Numer. Methods Partial Differ. Equations 26, No. 1, 14--23 (2010; Zbl 1423.76097) Full Text: DOI
Gao, Zhiming; Ma, Yichen; Zhuang, Hongwei Drag minimization for Navier-Stokes flow. (English) Zbl 1170.76014 Numer. Methods Partial Differ. Equations 25, No. 5, 1149-1166 (2009). MSC: 76D55 76D05 76M30 PDFBibTeX XMLCite \textit{Z. Gao} et al., Numer. Methods Partial Differ. Equations 25, No. 5, 1149--1166 (2009; Zbl 1170.76014) Full Text: DOI
He, Yinnian Combination of standard Galerkin and subspace methods for the time-dependent Navier-Stokes equations with nonsmooth initial data. (English) Zbl 1170.76041 Numer. Methods Partial Differ. Equations 25, No. 5, 1009-1028 (2009). MSC: 76M25 76D05 65M15 PDFBibTeX XMLCite \textit{Y. He}, Numer. Methods Partial Differ. Equations 25, No. 5, 1009--1028 (2009; Zbl 1170.76041) Full Text: DOI
Farhloul, M.; Nicaise, S.; Paquet, L. A priori and a posteriori error estimations for the dual mixed finite element method of the Navier-Stokes problem. (English) Zbl 1166.76027 Numer. Methods Partial Differ. Equations 25, No. 4, 843-869 (2009). MSC: 76M10 76D05 65N15 65N30 PDFBibTeX XMLCite \textit{M. Farhloul} et al., Numer. Methods Partial Differ. Equations 25, No. 4, 843--869 (2009; Zbl 1166.76027) Full Text: DOI
Wu, Hua; Ma, Heping; Li, Huiyuan Chebyshev-Legendre spectral method for solving the two-dimensional vorticity equations with homogeneous Dirichlet conditions. (English) Zbl 1162.76041 Numer. Methods Partial Differ. Equations 25, No. 3, 740-755 (2009). MSC: 76M22 76D17 76D05 PDFBibTeX XMLCite \textit{H. Wu} et al., Numer. Methods Partial Differ. Equations 25, No. 3, 740--755 (2009; Zbl 1162.76041) Full Text: DOI
Davis, Lisa G.; Pahlevani, Faranak Semi-implicit schemes for transient Navier-Stokes equations and eddy viscosity models. (English) Zbl 1167.76025 Numer. Methods Partial Differ. Equations 25, No. 1, 212-231 (2009). MSC: 76M20 76M10 76D05 76F65 65M12 PDFBibTeX XMLCite \textit{L. G. Davis} and \textit{F. Pahlevani}, Numer. Methods Partial Differ. Equations 25, No. 1, 212--231 (2009; Zbl 1167.76025) Full Text: DOI
Droniou, Jérôme; Eymard, Robert Study of the mixed finite volume method for Stokes and Navier-Stokes equations. (English) Zbl 1153.76044 Numer. Methods Partial Differ. Equations 25, No. 1, 137-171 (2009). MSC: 76M12 76D05 76D07 65M12 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{R. Eymard}, Numer. Methods Partial Differ. Equations 25, No. 1, 137--171 (2009; Zbl 1153.76044) Full Text: DOI HAL
Labovschii, A. A defect correction method for the time-dependent Navier-Stokes equations. (English) Zbl 1394.76087 Numer. Methods Partial Differ. Equations 25, No. 1, 1-25 (2009). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{A. Labovschii}, Numer. Methods Partial Differ. Equations 25, No. 1, 1--25 (2009; Zbl 1394.76087) Full Text: DOI
Yan, Wenjing; Ma, Yichen Shape reconstruction for the time-dependent Navier-Stokes flow. (English) Zbl 1142.76019 Numer. Methods Partial Differ. Equations 24, No. 4, 1148-1158 (2008). MSC: 76D05 76M25 PDFBibTeX XMLCite \textit{W. Yan} and \textit{Y. Ma}, Numer. Methods Partial Differ. Equations 24, No. 4, 1148--1158 (2008; Zbl 1142.76019) Full Text: DOI
Hunt, Roland Numerical solution of the free-surface viscous flow on a horizontal rotating elliptical cylinder. (English) Zbl 1338.76093 Numer. Methods Partial Differ. Equations 24, No. 4, 1094-1114 (2008). MSC: 76M22 35R35 65N35 76D05 76U05 PDFBibTeX XMLCite \textit{R. Hunt}, Numer. Methods Partial Differ. Equations 24, No. 4, 1094--1114 (2008; Zbl 1338.76093) Full Text: DOI
El-Amrani, Mofdi; Seaïd, Mohammed A finite element modified method of characteristics for convective heat transport. (English) Zbl 1143.65075 Numer. Methods Partial Differ. Equations 24, No. 3, 776-798 (2008). MSC: 65M25 35Q30 76D05 76M25 65M60 76M10 PDFBibTeX XMLCite \textit{M. El-Amrani} and \textit{M. Seaïd}, Numer. Methods Partial Differ. Equations 24, No. 3, 776--798 (2008; Zbl 1143.65075) Full Text: DOI
Guermond, J.-L.; Prudhomme, Serge A fully discrete nonlinear Galerkin method for the 3D Navier-Stokes equations. (English) Zbl 1142.76041 Numer. Methods Partial Differ. Equations 24, No. 3, 759-775 (2008). MSC: 76M25 76D05 65M12 PDFBibTeX XMLCite \textit{J. L. Guermond} and \textit{S. Prudhomme}, Numer. Methods Partial Differ. Equations 24, No. 3, 759--775 (2008; Zbl 1142.76041) Full Text: DOI
Layton, William; Manica, Carolina C.; Neda, Monika; Rebholz, Leo G. Numerical analysis and computational testing of a high accuracy Leray-deconvolution model of turbulence. (English) Zbl 1191.76061 Numer. Methods Partial Differ. Equations 24, No. 2, 555-582 (2008). MSC: 76F65 76F02 35Q35 65M06 76D05 76M25 PDFBibTeX XMLCite \textit{W. Layton} et al., Numer. Methods Partial Differ. Equations 24, No. 2, 555--582 (2008; Zbl 1191.76061) Full Text: DOI
Fairweather, Graeme; Ma, Heping; Sun, Weiwei Orthogonal spline collocation methods for the stream function-vorticity formulation of the Navier-Stokes equations. (English) Zbl 1168.76037 Numer. Methods Partial Differ. Equations 24, No. 2, 449-464 (2008). MSC: 76M25 76M20 76D05 65M15 65M70 PDFBibTeX XMLCite \textit{G. Fairweather} et al., Numer. Methods Partial Differ. Equations 24, No. 2, 449--464 (2008; Zbl 1168.76037) Full Text: DOI
He, Yinnian Stability and error analysis for spectral Galerkin method for the Navier-Stokes equations with \(L^2\) initial data. (English) Zbl 1128.76045 Numer. Methods Partial Differ. Equations 24, No. 1, 79-103 (2008). MSC: 76M22 76D05 65M12 65M15 PDFBibTeX XMLCite \textit{Y. He}, Numer. Methods Partial Differ. Equations 24, No. 1, 79--103 (2008; Zbl 1128.76045) Full Text: DOI
Tone, Florentina On the long-time stability of the Crank-Nicolson scheme for the 2D Navier-Stokes equations. (English) Zbl 1127.76042 Numer. Methods Partial Differ. Equations 23, No. 5, 1235-1248 (2007). MSC: 76M20 76D05 65M12 PDFBibTeX XMLCite \textit{F. Tone}, Numer. Methods Partial Differ. Equations 23, No. 5, 1235--1248 (2007; Zbl 1127.76042) Full Text: DOI
He, Guoliang; He, Yinnian; Feng, Xinlong Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem. (English) Zbl 1127.76036 Numer. Methods Partial Differ. Equations 23, No. 5, 1167-1191 (2007). MSC: 76M12 76M10 76D05 65M15 PDFBibTeX XMLCite \textit{G. He} et al., Numer. Methods Partial Differ. Equations 23, No. 5, 1167--1191 (2007; Zbl 1127.76036) Full Text: DOI
Quarteroni, Alfio; Rozza, Gianluigi Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. (English) Zbl 1178.76238 Numer. Methods Partial Differ. Equations 23, No. 4, 923-948 (2007). MSC: 76M10 65N35 76D05 PDFBibTeX XMLCite \textit{A. Quarteroni} and \textit{G. Rozza}, Numer. Methods Partial Differ. Equations 23, No. 4, 923--948 (2007; Zbl 1178.76238) Full Text: DOI
Li, Jian; He, Yinnian Superconvergence of discontinuous Galerkin finite element method for the stationary Navier-Stokes equations. (English) Zbl 1107.76046 Numer. Methods Partial Differ. Equations 23, No. 2, 421-436 (2007). MSC: 76M10 76D05 65N30 65N12 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. He}, Numer. Methods Partial Differ. Equations 23, No. 2, 421--436 (2007; Zbl 1107.76046) Full Text: DOI
Calgaro, C.; Deuring, P.; Jennequin, D. A preconditioner for generalized saddle point problems: application to 3D stationary Navier-Stokes equations. (English) Zbl 1370.76082 Numer. Methods Partial Differ. Equations 22, No. 6, 1289-1313 (2006). MSC: 76M10 76D07 35Q30 65N22 65N30 76D05 PDFBibTeX XMLCite \textit{C. Calgaro} et al., Numer. Methods Partial Differ. Equations 22, No. 6, 1289--1313 (2006; Zbl 1370.76082) Full Text: DOI
Kaya, Songul; Rivière, Béatrice A two-grid stabilization method for solving the steady-state Navier-Stokes equations. (English) Zbl 1089.76034 Numer. Methods Partial Differ. Equations 22, No. 3, 728-743 (2006). MSC: 76M10 76D05 65N15 65N30 PDFBibTeX XMLCite \textit{S. Kaya} and \textit{B. Rivière}, Numer. Methods Partial Differ. Equations 22, No. 3, 728--743 (2006; Zbl 1089.76034) Full Text: DOI
Girault, V.; López, H.; Maury, B. One time-step finite element discretization of the equation of motion of two-fluid flows. (English) Zbl 1089.76032 Numer. Methods Partial Differ. Equations 22, No. 3, 680-707 (2006). MSC: 76M10 76T10 76D05 76D45 65M12 65M60 PDFBibTeX XMLCite \textit{V. Girault} et al., Numer. Methods Partial Differ. Equations 22, No. 3, 680--707 (2006; Zbl 1089.76032) Full Text: DOI
Wu, Xionghua; Li, Chen Solving the driven flow by linearized elimination with differential quadrature. (English) Zbl 1089.76048 Numer. Methods Partial Differ. Equations 22, No. 3, 540-557 (2006). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{X. Wu} and \textit{C. Li}, Numer. Methods Partial Differ. Equations 22, No. 3, 540--557 (2006; Zbl 1089.76048) Full Text: DOI
Bensaada, Mohamed; Esselaoui, Driss; Saramito, Pierre Second-order Galerkin-Lagrange method for the Navier-Stokes equations. (English) Zbl 1076.76046 Numer. Methods Partial Differ. Equations 21, No. 6, 1099-1121 (2005). MSC: 76M10 76D05 65M15 65M12 65M60 PDFBibTeX XMLCite \textit{M. Bensaada} et al., Numer. Methods Partial Differ. Equations 21, No. 6, 1099--1121 (2005; Zbl 1076.76046) Full Text: DOI
He, Yinnian; Liu, Kam-Moon A multilevel finite element method in space-time for the Navier-Stokes problem. (English) Zbl 1081.76044 Numer. Methods Partial Differ. Equations 21, No. 6, 1052-1078 (2005). MSC: 76M10 76D05 65M60 65M15 PDFBibTeX XMLCite \textit{Y. He} and \textit{K.-M. Liu}, Numer. Methods Partial Differ. Equations 21, No. 6, 1052--1078 (2005; Zbl 1081.76044) Full Text: DOI
He, Yinnian Stability and error analysis for a spectral Galerkin method for the Navier-Stokes equations with \(H^2\) or \(H^1\) initial data. (English) Zbl 1076.76059 Numer. Methods Partial Differ. Equations 21, No. 5, 875-904 (2005). MSC: 76M22 76D05 65M12 65M15 PDFBibTeX XMLCite \textit{Y. He}, Numer. Methods Partial Differ. Equations 21, No. 5, 875--904 (2005; Zbl 1076.76059) Full Text: DOI
Faure, S. Stability of a collocated finite volume scheme for the Navier-Stokes equations. (English) Zbl 1141.76431 Numer. Methods Partial Differ. Equations 21, No. 2, 242-271 (2005). MSC: 76M12 76D05 65M06 PDFBibTeX XMLCite \textit{S. Faure}, Numer. Methods Partial Differ. Equations 21, No. 2, 242--271 (2005; Zbl 1141.76431) Full Text: DOI
Abboud, T.; Salaün, M.; Salmon, S. Coupling harmonic functions-finite elements for solving the stream function-vorticity Stokes problem. (English) Zbl 1086.76036 Numer. Methods Partial Differ. Equations 20, No. 5, 765-788 (2004). MSC: 76M10 76D05 65N12 PDFBibTeX XMLCite \textit{T. Abboud} et al., Numer. Methods Partial Differ. Equations 20, No. 5, 765--788 (2004; Zbl 1086.76036) Full Text: DOI
He, Yinnian; Li, Kaitai; Zhao, Chunshan Uniform stability of spectral nonlinear Galerkin methods. (English) Zbl 1086.76056 Numer. Methods Partial Differ. Equations 20, No. 5, 723-741 (2004). MSC: 76M22 76D05 65M12 PDFBibTeX XMLCite \textit{Y. He} et al., Numer. Methods Partial Differ. Equations 20, No. 5, 723--741 (2004; Zbl 1086.76056) Full Text: DOI
Lai, Ming-Jun; Liu, Chun; Wenston, Paul Bivariate spline method for numerical solution of time evolution Navier-Stokes equations over polygons in stream function formulation. (English) Zbl 1075.76040 Numer. Methods Partial Differ. Equations 19, No. 6, 776-827 (2003). MSC: 76M10 76M20 76D05 76D03 35Q30 PDFBibTeX XMLCite \textit{M.-J. Lai} et al., Numer. Methods Partial Differ. Equations 19, No. 6, 776--827 (2003; Zbl 1075.76040) Full Text: DOI
He, Yinnian; Wang, Aiwen; Chen, Zhangxin; Li, Kaitai An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations. (English) Zbl 1134.76385 Numer. Methods Partial Differ. Equations 19, No. 6, 762-775 (2003). MSC: 76M10 76D05 65N30 35Q30 PDFBibTeX XMLCite \textit{Y. He} et al., Numer. Methods Partial Differ. Equations 19, No. 6, 762--775 (2003; Zbl 1134.76385) Full Text: DOI
Veneziani, Alessandro Block factorized preconditioners for high-order accurate in time approximation of the Navier-Stokes equations. (English) Zbl 1090.76050 Numer. Methods Partial Differ. Equations 19, No. 4, 487-510 (2003). MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{A. Veneziani}, Numer. Methods Partial Differ. Equations 19, No. 4, 487--510 (2003; Zbl 1090.76050) Full Text: DOI
Gu, Haiming; Wu, Xiaonan Least-squares mixed finite element methods for the incompressible Navier-Stokes equations. (English) Zbl 1098.76570 Numer. Methods Partial Differ. Equations 18, No. 4, 441-453 (2002). MSC: 76M10 65M60 65M12 76D05 PDFBibTeX XMLCite \textit{H. Gu} and \textit{X. Wu}, Numer. Methods Partial Differ. Equations 18, No. 4, 441--453 (2002; Zbl 1098.76570) Full Text: DOI
Junk, Michael A finite difference interpretation of the lattice Boltzmann method. (English) Zbl 0987.76082 Numer. Methods Partial Differ. Equations 17, No. 4, 383-402 (2001). MSC: 76M28 76M20 76P05 76D05 PDFBibTeX XMLCite \textit{M. Junk}, Numer. Methods Partial Differ. Equations 17, No. 4, 383--402 (2001; Zbl 0987.76082) Full Text: DOI Link
Saldanha, Godfrey A fourth-order finite difference scheme for a system of 2D nonlinear elliptic partial differential equations. (English) Zbl 0971.65096 Numer. Methods Partial Differ. Equations 17, No. 1, 43-53 (2001). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65N06 76D05 65Y20 65N15 35J65 35Q30 PDFBibTeX XMLCite \textit{G. Saldanha}, Numer. Methods Partial Differ. Equations 17, No. 1, 43--53 (2001; Zbl 0971.65096) Full Text: DOI
Liakos, Anastasios Discretization of the Navier-Stokes equations with slip boundary condition. (English) Zbl 0978.76051 Numer. Methods Partial Differ. Equations 17, No. 1, 26-42 (2001). MSC: 76M10 76D05 65N30 PDFBibTeX XMLCite \textit{A. Liakos}, Numer. Methods Partial Differ. Equations 17, No. 1, 26--42 (2001; Zbl 0978.76051) Full Text: DOI
Lai, Ming-Jun; Wenston, Paul Bivariate spline method for numerical solution of steady-state Navier-Stokes equations over polygons in stream function formulation. (English) Zbl 0968.76041 Numer. Methods Partial Differ. Equations 16, No. 2, 147-183 (2000). MSC: 76M10 76D05 65D07 65N30 PDFBibTeX XMLCite \textit{M.-J. Lai} and \textit{P. Wenston}, Numer. Methods Partial Differ. Equations 16, No. 2, 147--183 (2000; Zbl 0968.76041) Full Text: DOI
Bochev, Pavel B. Negative norm least-squares methods for the velocity-vorticity-pressure Navier-Stokes equations. (English) Zbl 0921.76102 Numer. Methods Partial Differ. Equations 15, No. 2, 237-256 (1999). MSC: 76M10 76D05 65N30 PDFBibTeX XMLCite \textit{P. B. Bochev}, Numer. Methods Partial Differ. Equations 15, No. 2, 237--256 (1999; Zbl 0921.76102) Full Text: DOI
He, Yinnian; Li, Kaitai The coupling of boundary integral and finite element methods for the nonstationary exterior flow. (English) Zbl 0922.76247 Numer. Methods Partial Differ. Equations 14, No. 5, 549-565 (1998). MSC: 76M15 76M10 76D05 65M12 PDFBibTeX XMLCite \textit{Y. He} and \textit{K. Li}, Numer. Methods Partial Differ. Equations 14, No. 5, 549--565 (1998; Zbl 0922.76247) Full Text: DOI
Skiba, Yuri N. Spectral approximation in the numerical stability study of nondivergent viscous flows on a sphere. (English) Zbl 0903.76074 Numer. Methods Partial Differ. Equations 14, No. 2, 143-157 (1998). MSC: 76M25 76D05 86A10 76U05 65M70 PDFBibTeX XMLCite \textit{Y. N. Skiba}, Numer. Methods Partial Differ. Equations 14, No. 2, 143--157 (1998; Zbl 0903.76074) Full Text: DOI