Zheng, Bo; Shang, Yueqiang A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions. (English) Zbl 07796535 Adv. Comput. Math. 50, No. 1, Paper No. 3, 27 p. (2024). MSC: 76M10 76M30 76D05 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Y. Shang}, Adv. Comput. Math. 50, No. 1, Paper No. 3, 27 p. (2024; Zbl 07796535) Full Text: DOI
Zheng, Bo; Shang, Yueqiang A parallel stabilized quadratic equal-order finite element algorithm for the steady Navier-Stokes equations. (English) Zbl 1524.76146 Int. J. Comput. Math. 100, No. 1, 83-104 (2023). MSC: 76D05 35Q30 65N55 65N30 76M10 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Y. Shang}, Int. J. Comput. Math. 100, No. 1, 83--104 (2023; Zbl 1524.76146) Full Text: DOI
Burman, Erik Weighted error estimates for transient transport problems discretized using continuous finite elements with interior penalty stabilization on the gradient jumps. (English) Zbl 07600693 Vietnam J. Math. 50, No. 4, 833-866 (2022). MSC: 65N30 65M20 65M06 65M12 65M15 35L02 35A02 35Q49 PDFBibTeX XMLCite \textit{E. Burman}, Vietnam J. Math. 50, No. 4, 833--866 (2022; Zbl 07600693) Full Text: DOI arXiv
Zheng, Bo; Shang, Yueqiang A three-step stabilized algorithm for the Navier-Stokes type variational inequality. (English) Zbl 1510.76096 Appl. Math. Comput. 435, Article ID 127463, 13 p. (2022). MSC: 76M10 76D05 65N30 35Q30 65K15 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Y. Shang}, Appl. Math. Comput. 435, Article ID 127463, 13 p. (2022; Zbl 1510.76096) Full Text: DOI
Kaya, Utku; Braack, Malte Stabilizing the convection-diffusion-reaction equation via local problems. (English) Zbl 1507.76111 Comput. Methods Appl. Mech. Eng. 398, Article ID 115243, 21 p. (2022). MSC: 76M10 65M60 76R50 PDFBibTeX XMLCite \textit{U. Kaya} and \textit{M. Braack}, Comput. Methods Appl. Mech. Eng. 398, Article ID 115243, 21 p. (2022; Zbl 1507.76111) Full Text: DOI
Zheng, Bo; Shang, Yueqiang A two-step stabilized finite element algorithm for the Smagorinsky model. (English) Zbl 1510.76095 Appl. Math. Comput. 422, Article ID 126971, 13 p. (2022). MSC: 76M10 65N30 35Q35 76D05 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Y. Shang}, Appl. Math. Comput. 422, Article ID 126971, 13 p. (2022; Zbl 1510.76095) Full Text: DOI
Jia, Xiaofeng; Feng, Hui Decoupled stabilized Crank-Nicolson leapfrog method for time-dependent Navier-Stokes/Darcy model. (English) Zbl 1480.35310 J. Comput. Appl. Math. 402, Article ID 113793, 19 p. (2022). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76S05 76D05 76M10 65M60 65M06 65N30 65M15 PDFBibTeX XMLCite \textit{X. Jia} and \textit{H. Feng}, J. Comput. Appl. Math. 402, Article ID 113793, 19 p. (2022; Zbl 1480.35310) 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
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
Zheng, Bo; Y. Q. Shang, Yueqiang A parallel stabilized finite element variational multiscale method based on fully overlapping domain decomposition for the incompressible Navier-Stokes equations. (English) Zbl 1459.65228 Appl. Numer. Math. 159, 138-158 (2021). MSC: 65N30 65N55 65Y05 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Y. Y. Q. Shang}, Appl. Numer. Math. 159, 138--158 (2021; Zbl 1459.65228) Full Text: DOI
El Moutea, O.; El Amri, H.; El Akkad, A. Finite element method for the Stokes-Darcy problem with a new boundary condition. (Russian. English summary) Zbl 1502.76059 Sib. Zh. Vychisl. Mat. 23, No. 2, 165-181 (2020). MSC: 76M10 76S05 65N12 PDFBibTeX XMLCite \textit{O. El Moutea} et al., Sib. Zh. Vychisl. Mat. 23, No. 2, 165--181 (2020; Zbl 1502.76059) Full Text: DOI MNR
Zheng, Bo; Shang, Yueqiang Local and parallel stabilized finite element algorithms based on the lowest equal-order elements for the steady Navier-Stokes equations. (English) Zbl 1523.65098 Math. Comput. Simul. 178, 464-484 (2020). MSC: 65N30 65N12 65Y05 76D05 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Y. Shang}, Math. Comput. Simul. 178, 464--484 (2020; Zbl 1523.65098) Full Text: DOI
Shang, Yueqiang A parallel stabilized finite element method based on the lowest equal-order elements for incompressible flows. (English) Zbl 1459.65225 Computing 102, No. 1, 65-81 (2020). MSC: 65N30 35Q35 65N55 65Y05 76D07 PDFBibTeX XMLCite \textit{Y. Shang}, Computing 102, No. 1, 65--81 (2020; Zbl 1459.65225) Full Text: DOI
Boulakia, Muriel; Burman, Erik; Fernández, Miguel A.; Voisembert, Colette Data assimilation finite element method for the linearized Navier-Stokes equations in the low Reynolds regime. (English) Zbl 1445.35323 Inverse Probl. 36, No. 8, Article ID 085003, 22 p. (2020). MSC: 35R30 35Q30 65M60 PDFBibTeX XMLCite \textit{M. Boulakia} et al., Inverse Probl. 36, No. 8, Article ID 085003, 22 p. (2020; Zbl 1445.35323) Full Text: DOI
Zheng, Bo; Shang, Yueqiang A two-level stabilized quadratic equal-order finite element variational multiscale method for incompressible flows. (English) Zbl 1508.76073 Appl. Math. Comput. 384, Article ID 125373, 20 p. (2020). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Y. Shang}, Appl. Math. Comput. 384, Article ID 125373, 20 p. (2020; Zbl 1508.76073) Full Text: DOI
Yu, Jiaping; Shi, Feng; Zhao, Jianping A stabilized coupled method and its optimal error estimates for elliptic interface problems. (English) Zbl 1485.82006 Adv. Difference Equ. 2019, Paper No. 400, 13 p. (2019). MSC: 82B24 65N30 65N15 35J25 76M10 65N12 PDFBibTeX XMLCite \textit{J. Yu} et al., Adv. Difference Equ. 2019, Paper No. 400, 13 p. (2019; Zbl 1485.82006) Full Text: DOI
Ahmed, Naveed; Rubino, Samuele Numerical comparisons of finite element stabilized methods for a 2D vortex dynamics simulation at high Reynolds number. (English) Zbl 1441.76051 Comput. Methods Appl. Mech. Eng. 349, 191-212 (2019). MSC: 76M10 65M60 76D17 PDFBibTeX XMLCite \textit{N. Ahmed} and \textit{S. Rubino}, Comput. Methods Appl. Mech. Eng. 349, 191--212 (2019; Zbl 1441.76051) Full Text: DOI arXiv
Zheng, Bo; Shang, Yueqiang Parallel iterative stabilized finite element algorithms based on the lowest equal-order elements for the stationary Navier-Stokes equations. (English) Zbl 1428.76110 Appl. Math. Comput. 357, 35-56 (2019). MSC: 76M10 65N30 65Y05 76D05 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Y. Shang}, Appl. Math. Comput. 357, 35--56 (2019; Zbl 1428.76110) 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
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
Yu, Jiaping; Zheng, Haibiao; Shi, Feng; Zhao, Ren Two-grid finite element method for the stabilization of mixed Stokes-Darcy model. (English) Zbl 1407.65306 Discrete Contin. Dyn. Syst., Ser. B 24, No. 1, 387-402 (2019). MSC: 65N30 65N15 76D07 76S05 35Q35 PDFBibTeX XMLCite \textit{J. Yu} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 1, 387--402 (2019; Zbl 1407.65306) Full Text: DOI
Hussain, Shahid; Al Mahbub, Md. Abdullah; Nasu, Nasrin Jahan; Zheng, Haibiao Stabilized lowest equal-order mixed finite element method for the Oseen viscoelastic fluid flow. (English) Zbl 1448.76100 Adv. Difference Equ. 2018, Paper No. 461, 19 p. (2018). MSC: 76M10 76A10 65N30 65N15 76D07 PDFBibTeX XMLCite \textit{S. Hussain} et al., Adv. Difference Equ. 2018, Paper No. 461, 19 p. (2018; Zbl 1448.76100) Full Text: DOI
Yu, Jiaping; Al Mahbub, Md. Abdullah; Shi, Feng; Zheng, Haibiao Stabilized finite element method for the stationary mixed Stokes-Darcy problem. (English) Zbl 1448.65250 Adv. Difference Equ. 2018, Paper No. 346, 19 p. (2018). MSC: 65N30 65N15 76S05 76M10 76D07 PDFBibTeX XMLCite \textit{J. Yu} et al., Adv. Difference Equ. 2018, Paper No. 346, 19 p. (2018; Zbl 1448.65250) Full Text: DOI
Burman, Erik; Larson, Mats G.; Oksanen, Lauri Primal-dual mixed finite element methods for the elliptic Cauchy problem. (English) Zbl 1408.65085 SIAM J. Numer. Anal. 56, No. 6, 3480-3509 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N15 35J15 65N21 PDFBibTeX XMLCite \textit{E. Burman} et al., SIAM J. Numer. Anal. 56, No. 6, 3480--3509 (2018; Zbl 1408.65085) Full Text: DOI arXiv
Barrenechea, Gabriel R.; González, Cheherazada A stabilized finite element method for a fictitious domain problem allowing small inclusions. (English) Zbl 1390.65140 Numer. Methods Partial Differ. Equations 34, No. 1, 167-183 (2018). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N30 65N12 65N85 PDFBibTeX XMLCite \textit{G. R. Barrenechea} and \textit{C. González}, Numer. Methods Partial Differ. Equations 34, No. 1, 167--183 (2018; Zbl 1390.65140) Full Text: DOI
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
Yılmaz, Fikriye Semi-discrete a priori error analysis for the optimal control of the unsteady Navier-Stokes equations with variational multiscale stabilization. (English) Zbl 1410.49021 Appl. Math. Comput. 276, 127-142 (2016). MSC: 49K20 49M25 65M60 76D55 PDFBibTeX XMLCite \textit{F. Yılmaz}, Appl. Math. Comput. 276, 127--142 (2016; Zbl 1410.49021) Full Text: DOI
Song, Lina; Su, Haiyan; Feng, Xinlong Recovery-based error estimator for stabilized finite element method for the stationary Navier-Stokes problem. (English) Zbl 1457.65217 SIAM J. Sci. Comput. 38, No. 6, A3758-A3772 (2016). MSC: 65N30 65N15 65N12 65N50 76D05 76M10 35Q30 PDFBibTeX XMLCite \textit{L. Song} et al., SIAM J. Sci. Comput. 38, No. 6, A3758--A3772 (2016; Zbl 1457.65217) 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
Chacón Rebollo, Tomás; Gómez Mármol, Macarena; Rubino, Samuele Numerical analysis of a finite element projection-based VMS turbulence model with wall laws. (English) Zbl 1423.76218 Comput. Methods Appl. Mech. Eng. 285, 379-405 (2015). MSC: 76M10 65M60 65M12 76D05 76F06 76F65 PDFBibTeX XMLCite \textit{T. Chacón Rebollo} et al., Comput. Methods Appl. Mech. Eng. 285, 379--405 (2015; Zbl 1423.76218) Full Text: DOI
Burman, Erik A monotonicity preserving, nonlinear, finite element upwind method for the transport equation. (English) Zbl 1382.65306 Appl. Math. Lett. 49, 141-146 (2015). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{E. Burman}, Appl. Math. Lett. 49, 141--146 (2015; Zbl 1382.65306) Full Text: DOI Link
Guillén González, F.; Rodríguez Galván, J. R. Stabilized schemes for the hydrostatic Stokes equations. (English) Zbl 1328.35168 SIAM J. Numer. Anal. 53, No. 4, 1876-1896 (2015). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35Q35 65N12 65N15 65N30 86A05 76D07 PDFBibTeX XMLCite \textit{F. Guillén González} and \textit{J. R. Rodríguez Galván}, SIAM J. Numer. Anal. 53, No. 4, 1876--1896 (2015; Zbl 1328.35168) Full Text: DOI Link
Cabrales, R. C.; Guillén-González, F.; Gutiérrez-Santacreu, J. V. A time-splitting finite-element stable approximation for the Ericksen-Leslie equations. (English) Zbl 1321.35153 SIAM J. Sci. Comput. 37, No. 2, B261-B282 (2015). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q35 65M60 76A15 PDFBibTeX XMLCite \textit{R. C. Cabrales} et al., SIAM J. Sci. Comput. 37, No. 2, B261--B282 (2015; Zbl 1321.35153) Full Text: DOI Link
Huang, Pengzhan Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods. (English) Zbl 1317.65230 Calcolo 52, No. 1, 109-121 (2015). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N25 65N30 35P15 35Q30 65N12 65N15 PDFBibTeX XMLCite \textit{P. Huang}, Calcolo 52, No. 1, 109--121 (2015; Zbl 1317.65230) Full Text: DOI
Huang, Pengzhan; Zhao, Jianping; Feng, Xinlong An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method. (English) Zbl 1427.65365 Appl. Math. Modelling 38, No. 2, 535-547 (2014). MSC: 65N30 76M10 76D05 65N12 65N15 PDFBibTeX XMLCite \textit{P. Huang} et al., Appl. Math. Modelling 38, No. 2, 535--547 (2014; Zbl 1427.65365) Full Text: DOI
Song, Lina; Gao, Mingmei A posteriori error estimates for the stabilization of low-order mixed finite elements for the Stokes problem. (English) Zbl 1423.76278 Comput. Methods Appl. Mech. Eng. 279, 410-424 (2014). MSC: 76M10 65N30 65N15 76D07 PDFBibTeX XMLCite \textit{L. Song} and \textit{M. Gao}, Comput. Methods Appl. Mech. Eng. 279, 410--424 (2014; Zbl 1423.76278) Full Text: DOI
Zhang, Yunzhang; Hou, Yanren; Zhao, Jianping Error analysis of a fully discrete finite element variational multiscale method for the natural convection problem. (English) Zbl 1362.76056 Comput. Math. Appl. 68, No. 4, 543-567 (2014). MSC: 76R10 76M10 65M12 65M15 76M30 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Comput. Math. Appl. 68, No. 4, 543--567 (2014; Zbl 1362.76056) Full Text: DOI
Chen, Gang; Feng, Minfu; Zhou, Hong Local projection stabilized method on unsteady Navier-Stokes equations with high Reynolds number using equal order interpolation. (English) Zbl 1335.76033 Appl. Math. Comput. 243, 465-481 (2014). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{G. Chen} et al., Appl. Math. Comput. 243, 465--481 (2014; Zbl 1335.76033) Full Text: DOI
Chen, Gang; Feng, Minfu; Xie, Chunmei A new projection-based stabilized method for steady convection-dominated convection-diffusion equations. (English) Zbl 1337.65149 Appl. Math. Comput. 239, 89-106 (2014). MSC: 65N30 65N12 35K57 PDFBibTeX XMLCite \textit{G. Chen} et al., Appl. Math. Comput. 239, 89--106 (2014; Zbl 1337.65149) Full Text: DOI
Ben Belgacem, Faker; Bernardi, Christine; Hecht, Frédéric; Salmon, Stéphanie Stabilized finite elements for a reaction-dispersion saddle-point problem with nonconstant coefficients. (English) Zbl 1311.65142 SIAM J. Numer. Anal. 52, No. 5, 2207-2226 (2014). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 35J60 PDFBibTeX XMLCite \textit{F. Ben Belgacem} et al., SIAM J. Numer. Anal. 52, No. 5, 2207--2226 (2014; Zbl 1311.65142) Full Text: DOI
Feng, Xinlong; Weng, Zhifeng; Xie, Hehu Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. (English) Zbl 1340.65257 Appl. Math., Praha 59, No. 6, 615-630 (2014). MSC: 65N25 65N30 65N12 76D07 76M10 65N55 65N15 PDFBibTeX XMLCite \textit{X. Feng} et al., Appl. Math., Praha 59, No. 6, 615--630 (2014; Zbl 1340.65257) Full Text: DOI Link
Huang, Pengzhan Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method. (English) Zbl 1340.65258 Appl. Math., Praha 59, No. 4, 361-370 (2014). MSC: 65N25 35P15 65N30 65N12 PDFBibTeX XMLCite \textit{P. Huang}, Appl. Math., Praha 59, No. 4, 361--370 (2014; Zbl 1340.65258) Full Text: DOI Link
Duan, Huo-Yuan; Hsieh, Po-Wen; Tan, Roger C. E.; Yang, Suh-Yuh Analysis of the small viscosity and large reaction coefficient in the computation of the generalized Stokes problem by a novel stabilized finite element method. (English) Zbl 1296.76081 Comput. Methods Appl. Mech. Eng. 271, 23-47 (2014). MSC: 76M10 65N30 65N12 76D07 PDFBibTeX XMLCite \textit{H.-Y. Duan} et al., Comput. Methods Appl. Mech. Eng. 271, 23--47 (2014; Zbl 1296.76081) Full Text: DOI
Song, Lina; Hou, Yanren; Cai, Zhiqiang Recovery-based error estimator for stabilized finite element methods for the Stokes equation. (English) Zbl 1296.76087 Comput. Methods Appl. Mech. Eng. 272, 1-16 (2014). MSC: 76M10 65N30 65N15 76D07 35Q30 PDFBibTeX XMLCite \textit{L. Song} et al., Comput. Methods Appl. Mech. Eng. 272, 1--16 (2014; Zbl 1296.76087) Full Text: DOI
Burman, Erik Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries. (English) Zbl 1288.65153 Numer. Methods Partial Differ. Equations 30, No. 2, 567-592 (2014). Reviewer: Abdallah Bradji (Annaba) MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{E. Burman}, Numer. Methods Partial Differ. Equations 30, No. 2, 567--592 (2014; Zbl 1288.65153) Full Text: DOI arXiv
Weng, Zhifeng; Feng, Xinlong; Liu, Demin A two-grid stabilized mixed finite element method for semilinear elliptic equations. (English) Zbl 1426.65186 Appl. Math. Modelling 37, No. 10-11, 7037-7046 (2013). MSC: 65N30 35J61 76M10 PDFBibTeX XMLCite \textit{Z. Weng} et al., Appl. Math. Modelling 37, No. 10--11, 7037--7046 (2013; Zbl 1426.65186) Full Text: DOI
Huang, Pengzhan; Feng, Xinlong; He, Yinnian A quadratic equal-order stabilized finite element method for the conduction-convection equations. (English) Zbl 1290.76064 Comput. Fluids 86, 169-176 (2013). MSC: 76M10 65N30 76R10 PDFBibTeX XMLCite \textit{P. Huang} et al., Comput. Fluids 86, 169--176 (2013; Zbl 1290.76064) Full Text: DOI
Zhang, Tong; Zhao, Xin; Lei, Gang A posteriori error estimates of stabilized finite element method for the steady Navier-Stokes problem. (English) Zbl 1290.76077 Appl. Math. Comput. 219, No. 17, 9081-9092 (2013). MSC: 76M10 65N30 65N15 76D05 PDFBibTeX XMLCite \textit{T. Zhang} et al., Appl. Math. Comput. 219, No. 17, 9081--9092 (2013; Zbl 1290.76077) Full Text: DOI
Burman, Erik Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. I: Elliptic equations. (English) Zbl 1286.65152 SIAM J. Sci. Comput. 35, No. 6, A2752-A2780 (2013). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N20 65N15 35J25 PDFBibTeX XMLCite \textit{E. Burman}, SIAM J. Sci. Comput. 35, No. 6, A2752--A2780 (2013; Zbl 1286.65152) Full Text: DOI arXiv
Burman, Erik; Ern, Alexandre Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. (English) Zbl 1281.65123 ESAIM, Math. Model. Numer. Anal. 46, No. 4, 681-707 (2012). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M20 65L06 65M15 65M60 65M12 35K20 PDFBibTeX XMLCite \textit{E. Burman} and \textit{A. Ern}, ESAIM, Math. Model. Numer. Anal. 46, No. 4, 681--707 (2012; Zbl 1281.65123) Full Text: DOI
Huang, Peng-zhan; He, Yin-nian; Feng, Xin-long Two-level stabilized finite element method for Stokes eigenvalue problem. (English) Zbl 1266.65192 Appl. Math. Mech., Engl. Ed. 33, No. 5, 621-630 (2012). MSC: 65N30 65N25 PDFBibTeX XMLCite \textit{P.-z. Huang} et al., Appl. Math. Mech., Engl. Ed. 33, No. 5, 621--630 (2012; Zbl 1266.65192) Full Text: DOI
Feng, Xinlong; He, Yinnian; Huang, Pengzhan A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs. (English) Zbl 1245.35082 J. Math. Anal. Appl. 392, No. 2, 209-224 (2012). MSC: 35Q30 65L06 65M15 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Math. Anal. Appl. 392, No. 2, 209--224 (2012; Zbl 1245.35082) 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
He, Yinnian; Xie, Cong; Zheng, Haibiao A posteriori error estimate for stabilized low-order mixed FEM for the Stokes equations. (English) Zbl 1262.65158 Adv. Appl. Math. Mech. 2, No. 6, 798-809 (2010). MSC: 65N15 65N30 65N50 PDFBibTeX XMLCite \textit{Y. He} et al., Adv. Appl. Math. Mech. 2, No. 6, 798--809 (2010; Zbl 1262.65158) Full Text: DOI Link
Zheng, Haibiao; Hou, Yanren; Shi, Feng A posteriori error estimates of stabilization of low-order mixed finite elements for incompressible flow. (English) Zbl 1410.76206 SIAM J. Sci. Comput. 32, No. 3, 1346-1360 (2010). MSC: 76M10 65N15 65N30 76D07 PDFBibTeX XMLCite \textit{H. Zheng} et al., SIAM J. Sci. Comput. 32, No. 3, 1346--1360 (2010; Zbl 1410.76206) Full Text: DOI
Zheng, Haibiao; Shan, Li; Hou, Yanren A quadratic equal-order stabilized method for Stokes problem based on two local Gauss integrations. (English) Zbl 1425.35168 Numer. Methods Partial Differ. Equations 26, No. 5, 1180-1190 (2010). MSC: 35Q35 65N12 PDFBibTeX XMLCite \textit{H. Zheng} et al., Numer. Methods Partial Differ. Equations 26, No. 5, 1180--1190 (2010; Zbl 1425.35168) Full Text: DOI
Burman, Erik; Fernández, Miguel A. Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation. (English) Zbl 1228.76081 Comput. Methods Appl. Mech. Eng. 198, No. 33-36, 2508-2519 (2009). MSC: 76M10 76M20 76R99 76V05 65M12 PDFBibTeX XMLCite \textit{E. Burman} and \textit{M. A. Fernández}, Comput. Methods Appl. Mech. Eng. 198, No. 33--36, 2508--2519 (2009; Zbl 1228.76081) Full Text: DOI
Burman, Erik Interior penalty variational multiscale method for the incompressible Navier-Stokes equation: monitoring artificial dissipation. (English) Zbl 1173.76332 Comput. Methods Appl. Mech. Eng. 196, No. 41-44, 4045-4058 (2007). MSC: 76M10 76D05 65M15 PDFBibTeX XMLCite \textit{E. Burman}, Comput. Methods Appl. Mech. Eng. 196, No. 41--44, 4045--4058 (2007; Zbl 1173.76332) Full Text: DOI