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 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{J. Yuan}, J. Sci. Comput. 90, No. 1, Paper No. 1, 20 p. (2022; Zbl 1490.65217) 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 PDFBibTeX XMLCite \textit{J. Yang} and \textit{T. Zhang}, Comput. Appl. Math. 40, No. 4, Paper No. 133, 18 p. (2021; Zbl 1476.65258) Full Text: DOI
Mach, Jan; Beneš, Michal; Strachota, Pavel Nonlinear Galerkin finite element method applied to the system of reaction-diffusion equations in one space dimension. (English) Zbl 1373.65071 Comput. Math. Appl. 73, No. 9, 2053-2065 (2017). MSC: 65M60 65M12 35K57 35K51 65M06 65Y20 PDFBibTeX XMLCite \textit{J. Mach} et al., Comput. Math. Appl. 73, No. 9, 2053--2065 (2017; Zbl 1373.65071) Full Text: DOI
Nguyen van yen, Romain; Farge, Marie; Schneider, Kai Scale-wise coherent vorticity extraction for conditional statistical modeling of homogeneous isotropic two-dimensional turbulence. (English) Zbl 1301.76040 Physica D 241, No. 3, 186-201 (2012). MSC: 76F55 PDFBibTeX XMLCite \textit{R. Nguyen van yen} et al., Physica D 241, No. 3, 186--201 (2012; Zbl 1301.76040) Full Text: DOI Link
Corsini, A.; Iossa, C.; Rispoli, F.; Tezduyar, T. E. A DRD finite element formulation for computing turbulent reacting flows in gas turbine combustors. (English) Zbl 1301.76045 Comput. Mech. 46, No. 1, 159-167 (2010). MSC: 76M10 76F99 76V05 80A25 65M60 PDFBibTeX XMLCite \textit{A. Corsini} et al., Comput. Mech. 46, No. 1, 159--167 (2010; Zbl 1301.76045) Full Text: DOI
Rispoli, Franco; Corsini, Alessandro; Tezduyar, Tayfun E. Finite element computation of turbulent flows with the discontinuity-capturing directional dissipation (DCDD). (English) Zbl 1181.76098 Comput. Fluids 36, No. 1, 121-126 (2007). MSC: 76M10 76F99 PDFBibTeX XMLCite \textit{F. Rispoli} et al., Comput. Fluids 36, No. 1, 121--126 (2007; Zbl 1181.76098) Full Text: DOI
Debussche, A.; Laminie, J.; Zahrouni, E. A dynamical multi-level scheme for the Burgers equation: Wavelet and hierarchical finite element. (English) Zbl 1087.76063 J. Sci. Comput. 25, No. 3, 445-497 (2005). MSC: 76M10 76D99 65T60 PDFBibTeX XMLCite \textit{A. Debussche} et al., J. Sci. Comput. 25, No. 3, 445--497 (2005; Zbl 1087.76063) Full Text: DOI
Hughes, Thomas J. R.; Oberai, Assad A.; Mazzei, Luca Large eddy simulation of turbulent channel flows by the variational multiscale method. (English) Zbl 1184.76237 Phys. Fluids 13, No. 6, Paper No. 1784, 16 p. (2001). MSC: 76-XX PDFBibTeX XMLCite \textit{T. J. R. Hughes} et al., Phys. Fluids 13, No. 6, Paper No. 1784, 16 p. (2001; Zbl 1184.76237) Full Text: DOI
Hughes, Thomas J. R.; Mazzei, Luca; Oberai, Assad A.; Wray, Alan A. The multiscale formulation of large eddy simulation: decay of homogeneous isotropic turbulence. (English) Zbl 1184.76236 Phys. Fluids 13, No. 2, Paper No. 505, 8 p. (2001). MSC: 76-XX PDFBibTeX XMLCite \textit{T. J. R. Hughes} et al., Phys. Fluids 13, No. 2, Paper No. 505, 8 p. (2001; Zbl 1184.76236) Full Text: DOI Link
Barros, Saulo R. M.; Cárdenas, José W. A nonlinear Galerkin method for the shallow-water equations on periodic domains. (English) Zbl 1002.76087 J. Comput. Phys. 172, No. 2, 592-608 (2001). MSC: 76M22 76D33 76U05 86A05 PDFBibTeX XMLCite \textit{S. R. M. Barros} and \textit{J. W. Cárdenas}, J. Comput. Phys. 172, No. 2, 592--608 (2001; Zbl 1002.76087) Full Text: DOI
Bouchon, F.; Jauberteau, F. A multilevel method applied in the nonhomogeneous direction of the channel flow problem. (English) Zbl 1011.76062 Appl. Numer. Math. 36, No. 1, 1-34 (2001). MSC: 76M22 76F10 76D05 PDFBibTeX XMLCite \textit{F. Bouchon} and \textit{F. Jauberteau}, Appl. Numer. Math. 36, No. 1, 1--34 (2001; Zbl 1011.76062) Full Text: DOI
Karamanos, G. S.; Karniadakis, G. E. A spectral vanishing viscosity method for large eddy simulations. (English) Zbl 0984.76036 J. Comput. Phys. 163, No. 1, 22-50 (2000). MSC: 76F65 76M22 76M10 PDFBibTeX XMLCite \textit{G. S. Karamanos} and \textit{G. E. Karniadakis}, J. Comput. Phys. 163, No. 1, 22--50 (2000; Zbl 0984.76036) Full Text: DOI
Calgaro, C.; Laminie, J. On the domain decomposition method for the generalized Stokes problem with continuous pressure. (English) Zbl 0965.76040 Numer. Methods Partial Differ. Equations 16, No. 1, 84-106 (2000). MSC: 76M10 76D07 65N55 65Y05 PDFBibTeX XMLCite \textit{C. Calgaro} and \textit{J. Laminie}, Numer. Methods Partial Differ. Equations 16, No. 1, 84--106 (2000; Zbl 0965.76040) Full Text: DOI
Dubois, T.; Jauberteau, F.; Temam, R. Incremental unknowns, multilevel methods and the numerical simulation of turbulence. (English) Zbl 0948.76070 Comput. Methods Appl. Mech. Eng. 159, No. 1-2, 123-189 (1998). MSC: 76M99 76F65 76F20 76D05 PDFBibTeX XMLCite \textit{T. Dubois} et al., Comput. Methods Appl. Mech. Eng. 159, No. 1--2, 123--189 (1998; Zbl 0948.76070) Full Text: DOI
Calgaro, C.; Debussche, A.; Laminie, J. On a multilevel approach for the two-dimensional Navier-Stokes equations with finite elements. (English) Zbl 0914.76049 Int. J. Numer. Methods Fluids 27, No. 1-4, 241-258 (1998). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{C. Calgaro} et al., Int. J. Numer. Methods Fluids 27, No. 1--4, 241--258 (1998; Zbl 0914.76049) Full Text: DOI
Dubois, Thierry; Jauberteau, François; Zhou, Ye Influences of subgrid scale dynamics on resolvable scale statistics in large-eddy simulations. (English) Zbl 0903.76068 Physica D 100, No. 1-4, 390-406 (1997). MSC: 76M25 76F99 PDFBibTeX XMLCite \textit{T. Dubois} et al., Physica D 100, No. 1--4, 390--406 (1997; Zbl 0903.76068) Full Text: DOI
Calgaro, C.; Laminie, J.; Temam, R. Dynamical multilevel schemes for the solution of evolution equations by hierarchical finite element discretization. (English) Zbl 0879.76046 Appl. Numer. Math. 23, No. 4, 403-442 (1997). Reviewer: N.F.F.Ebecken (Rio de Janeiro) MSC: 76M10 76F10 65M60 65M55 PDFBibTeX XMLCite \textit{C. Calgaro} et al., Appl. Numer. Math. 23, No. 4, 403--442 (1997; Zbl 0879.76046) Full Text: DOI
Debussche, A.; Dubois, T.; Temam, Roger The nonlinear Galerkin method: A multiscale method applied to the simulation of homogeneous turbulent flows. (English) Zbl 0838.76060 Theor. Comput. Fluid Dyn. 7, No. 4, 279-315 (1995). MSC: 76M25 76F05 76D05 65M60 PDFBibTeX XMLCite \textit{A. Debussche} et al., Theor. Comput. Fluid Dyn. 7, No. 4, 279--315 (1995; Zbl 0838.76060) Full Text: DOI
Jolly, M. S.; Xiong, C. On computing the long-time solution of the two-dimensional Navier-Stokes equations. (English) Zbl 0838.76065 Theor. Comput. Fluid Dyn. 7, No. 4, 261-278 (1995). MSC: 76M25 76D05 37D45 PDFBibTeX XMLCite \textit{M. S. Jolly} and \textit{C. Xiong}, Theor. Comput. Fluid Dyn. 7, No. 4, 261--278 (1995; Zbl 0838.76065) Full Text: DOI
Jolly, M. S.; Témam, R.; Xiong, C. Convergence of a chaotic attractor with increased spatial resolution of the Ginzburg-Landau equation. (English) Zbl 1080.34551 Chaos Solitons Fractals 5, No. 10, 1833-1845 (1995). MSC: 34G20 35Q55 47H20 37D45 PDFBibTeX XMLCite \textit{M. S. Jolly} et al., Chaos Solitons Fractals 5, No. 10, 1833--1845 (1995; Zbl 1080.34551) Full Text: DOI
Laminie, Jacques; Pascal, Frédéric; Temam, Roger Implementation and numerical analysis of the nonlinear Galerkin methods with finite elements discretization. (English) Zbl 0816.65064 Appl. Numer. Math. 15, No. 2, 219-246 (1994). Reviewer: P.Burda (Praha) MSC: 65M60 35Q53 35Q30 PDFBibTeX XMLCite \textit{J. Laminie} et al., Appl. Numer. Math. 15, No. 2, 219--246 (1994; Zbl 0816.65064) Full Text: DOI EuDML
Laminie, Jacques; Pascal, Frédéric; Temam, Roger Implementation of finite element nonlinear Galerkin methods using hierarchical bases. (English) Zbl 0771.76039 Comput. Mech. 11, No. 5-6, 384-407 (1993). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{J. Laminie} et al., Comput. Mech. 11, No. 5--6, 384--407 (1993; Zbl 0771.76039) Full Text: DOI
Jolly, M. S. Bifurcation computations on an approximate inertial manifold for the 2D Navier-Stokes equations. (English) Zbl 0767.35059 Physica D 63, No. 1-2, 8-20 (1993). MSC: 35Q30 35B32 35G10 35K25 37-XX 65M60 PDFBibTeX XMLCite \textit{M. S. Jolly}, Physica D 63, No. 1--2, 8--20 (1993; Zbl 0767.35059) Full Text: DOI
Gottlieb, David; Temam, Roger Implementation of the nonlinear Galerkin method with pseudospectral (collocation) discretizations. (English) Zbl 0782.65122 Appl. Numer. Math. 12, No. 1-3, 119-134 (1993). Reviewer: K.Finck von Finckenstein (Darmstadt) MSC: 65M60 65M70 35K05 35Q53 PDFBibTeX XMLCite \textit{D. Gottlieb} and \textit{R. Temam}, Appl. Numer. Math. 12, No. 1--3, 119--134 (1993; Zbl 0782.65122) Full Text: DOI
Pascal, Frédéric; Basdevant, Claude Nonlinear Galerkin method and subgrid-scale model for two-dimensional turbulent flows. (English) Zbl 0775.76084 Theor. Comput. Fluid Dyn. 3, No. 5, 267-284 (1992). MSC: 76F99 76M25 PDFBibTeX XMLCite \textit{F. Pascal} and \textit{C. Basdevant}, Theor. Comput. Fluid Dyn. 3, No. 5, 267--284 (1992; Zbl 0775.76084) Full Text: DOI
Dubois, T.; Jauberteau, F.; Marion, M.; Temam, R. Subgrid modelling and the interaction of small and large wavelength in turbulent flows. (English) Zbl 0900.76082 Comput. Phys. Commun. 65, No. 1-3, 100-106 (1991). MSC: 76D05 76F20 PDFBibTeX XMLCite \textit{T. Dubois} et al., Comput. Phys. Commun. 65, No. 1--3, 100--106 (1991; Zbl 0900.76082) Full Text: DOI