Mishra, Sudheer; Natarajan, E. Local projection stabilization virtual element method for the convection-diffusion equation with nonlinear reaction term. (English) Zbl 07801665 Comput. Math. Appl. 152, 181-198 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{S. Mishra} and \textit{E. Natarajan}, Comput. Math. Appl. 152, 181--198 (2023; Zbl 07801665) Full Text: DOI
Zhou, Xinchen; Niu, Hexin; Meng, Zhaoliang; Su, Jing Superconvergence of some nonconforming brick elements for the 3D Stokes problem. (English) Zbl 07783925 Comput. Math. Appl. 151, 50-66 (2023). MSC: 65N30 65N12 76M10 76D07 65N15 PDFBibTeX XMLCite \textit{X. Zhou} et al., Comput. Math. Appl. 151, 50--66 (2023; Zbl 07783925) Full Text: DOI
Caucao, Sergio; Gatica, Gabriel N.; Gatica, Luis F. A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem. (English) Zbl 1527.65125 Calcolo 60, No. 4, Paper No. 51, 32 p. (2023). MSC: 65N30 65N12 65N15 76S05 76D07 76R05 35A01 35A02 35B20 47H10 35Q35 PDFBibTeX XMLCite \textit{S. Caucao} et al., Calcolo 60, No. 4, Paper No. 51, 32 p. (2023; Zbl 1527.65125) Full Text: DOI
Min, Ya; Feng, Minfu Stabilized mixed finite element method for a quasistatic Maxwell viscoelastic model. (English) Zbl 1528.74104 Appl. Numer. Math. 193, 22-42 (2023). MSC: 74S05 65N30 65N15 76M10 PDFBibTeX XMLCite \textit{Y. Min} and \textit{M. Feng}, Appl. Numer. Math. 193, 22--42 (2023; Zbl 1528.74104) Full Text: DOI
Kumar, Naresh; Singh, Jasbir; Jiwari, Ram Convergence analysis of weak Galerkin finite element method for semilinear parabolic convection dominated diffusion equations on polygonal meshes. (English) Zbl 07731326 Comput. Math. Appl. 145, 141-158 (2023). MSC: 65N30 76M10 65M60 65M12 65N15 PDFBibTeX XMLCite \textit{N. Kumar} et al., Comput. Math. Appl. 145, 141--158 (2023; Zbl 07731326) Full Text: DOI
Peddavarapu, Sreehari A nodal integration based two level local projection meshfree stabilization method for convection diffusion problems. (English) Zbl 1521.76752 Eng. Anal. Bound. Elem. 151, 503-518 (2023). MSC: 76M99 65M70 PDFBibTeX XMLCite \textit{S. Peddavarapu}, Eng. Anal. Bound. Elem. 151, 503--518 (2023; Zbl 1521.76752) Full Text: DOI
Le, Tien Dung; Moyne, Christian; Bourbatache, Khaled; Millet, Olivier A spectral approach for homogenization of diffusion and heterogeneous reaction in porous media. (English) Zbl 1505.76069 Appl. Math. Modelling 104, 666-681 (2022). MSC: 76M22 35Q35 76M50 76R50 76S05 PDFBibTeX XMLCite \textit{T. D. Le} et al., Appl. Math. Modelling 104, 666--681 (2022; Zbl 1505.76069) Full Text: DOI
Colera, Manuel; Carpio, Jaime; Bermejo, Rodolfo A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes. (English) Zbl 07568565 J. Comput. Phys. 467, Article ID 111471, 30 p. (2022). MSC: 65Mxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{M. Colera} et al., J. Comput. Phys. 467, Article ID 111471, 30 p. (2022; Zbl 07568565) 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
Li, Yang; Feng, Minfu; Luo, Yan A new local projection stabilization virtual element method for the Oseen problem on polygonal meshes. (English) Zbl 1492.65322 Adv. Comput. Math. 48, No. 3, Paper No. 30, 32 p. (2022). MSC: 65N30 65N15 76D07 76E06 76M10 PDFBibTeX XMLCite \textit{Y. Li} et al., Adv. Comput. Math. 48, No. 3, Paper No. 30, 32 p. (2022; Zbl 1492.65322) Full Text: DOI
Karmakar, Timir; Alam, Meraj; Sekhar, G. P. Raja Analysis of Brinkman-Forchheimer extended Darcy’s model in a fluid saturated anisotropic porous channel. (English) Zbl 1490.76206 Commun. Pure Appl. Anal. 21, No. 3, 845-865 (2022). Reviewer: Carlos A. de Moura (Rio de Janeiro) MSC: 76S05 76M45 35Q35 PDFBibTeX XMLCite \textit{T. Karmakar} et al., Commun. Pure Appl. Anal. 21, No. 3, 845--865 (2022; Zbl 1490.76206) Full Text: DOI
Beirão da Veiga, L.; Dassi, F.; Vacca, G. Vorticity-stabilized virtual elements for the Oseen equation. (English) Zbl 1480.65329 Math. Models Methods Appl. Sci. 31, No. 14, 3009-3052 (2021). MSC: 65N30 76D05 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 31, No. 14, 3009--3052 (2021; Zbl 1480.65329) Full Text: DOI
Wen, Juan; Wang, Yu Two-level defect-correction stabilized finite element method for the incompressible Navier-Stokes equations based on pressure projection. (English) Zbl 07446689 Int. J. Comput. Methods 18, No. 8, Article ID 2150022, 12 p. (2021). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{J. Wen} and \textit{Y. Wang}, Int. J. Comput. Methods 18, No. 8, Article ID 2150022, 12 p. (2021; Zbl 07446689) Full Text: DOI
Braack, Malte; Nafa, Kamel; Taylor, Simon Equal-order finite element approximation for mantle-melt transport. (English) Zbl 1480.35141 J. Appl. Math. Comput. 65, No. 1-2, 273-293 (2021). MSC: 35J25 76Sxx 65N30 PDFBibTeX XMLCite \textit{M. Braack} et al., J. Appl. Math. Comput. 65, No. 1--2, 273--293 (2021; Zbl 1480.35141) Full Text: DOI
Sayah, Toni A posteriori error estimates for the Brinkman-Darcy-Forchheimer problem. (English) Zbl 1476.76051 Comput. Appl. Math. 40, No. 7, Paper No. 256, 38 p. (2021). MSC: 76M10 76D05 65M15 76S05 PDFBibTeX XMLCite \textit{T. Sayah}, Comput. Appl. Math. 40, No. 7, Paper No. 256, 38 p. (2021; Zbl 1476.76051) Full Text: DOI arXiv
Osses, G.; Castillo, E.; Moraga, N. O. Numerical modeling of laminar and chaotic natural convection flows using a non-residual dynamic VMS formulation. (English) Zbl 1507.76191 Comput. Methods Appl. Mech. Eng. 386, Article ID 114099, 25 p. (2021). MSC: 76R10 76M10 65M60 PDFBibTeX XMLCite \textit{G. Osses} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114099, 25 p. (2021; Zbl 1507.76191) Full Text: DOI
Colera, Manuel; Carpio, Jaime; Bermejo, Rodolfo A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of scalar hyperbolic conservation laws. (English) Zbl 1506.76068 Comput. Methods Appl. Mech. Eng. 376, Article ID 113654, 28 p. (2021). MSC: 76M10 65M60 35L65 PDFBibTeX XMLCite \textit{M. Colera} et al., Comput. Methods Appl. Mech. Eng. 376, Article ID 113654, 28 p. (2021; Zbl 1506.76068) Full Text: DOI
Cocquet, Pierre-Henri; Rakotobe, Michaël; Ramalingom, Delphine; Bastide, Alain Error analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditions. (English) Zbl 1469.65163 J. Comput. Appl. Math. 381, Article ID 113008, 23 p. (2021). Reviewer: Vladimir Vasilyev (Belgorod) MSC: 65N30 65N15 76S05 76D05 35A01 35A02 35Q35 PDFBibTeX XMLCite \textit{P.-H. Cocquet} et al., J. Comput. Appl. Math. 381, Article ID 113008, 23 p. (2021; Zbl 1469.65163) Full Text: DOI HAL
González, Amaru; Castillo, Ernesto; Cruchaga, Marcela A. Numerical verification of a non-residual orthogonal term-by-term stabilized finite element formulation for incompressible convective flow problems. (English) Zbl 1447.65073 Comput. Math. Appl. 80, No. 5, 1009-1028 (2020). MSC: 65M60 65M06 76D05 76F65 35B32 76M10 76M20 PDFBibTeX XMLCite \textit{A. González} et al., Comput. Math. Appl. 80, No. 5, 1009--1028 (2020; Zbl 1447.65073) Full Text: DOI
Ahlkrona, Josefin; Braack, Malte Equal-order stabilized finite element approximation of the \(p\)-Stokes equations on anisotropic Cartesian meshes. (English) Zbl 1437.65175 Comput. Methods Appl. Math. 20, No. 1, 1-25 (2020). MSC: 65N30 65N12 76A05 76D07 PDFBibTeX XMLCite \textit{J. Ahlkrona} and \textit{M. Braack}, Comput. Methods Appl. Math. 20, No. 1, 1--25 (2020; Zbl 1437.65175) Full Text: DOI
Balmus, Maximilian; Massing, André; Hoffman, Johan; Razavi, Reza; Nordsletten, David A. A partition of unity approach to fluid mechanics and fluid-structure interaction. (English) Zbl 1439.76048 Comput. Methods Appl. Mech. Eng. 362, Article ID 112842, 27 p. (2020). MSC: 76M10 65N30 74F10 74S05 PDFBibTeX XMLCite \textit{M. Balmus} et al., Comput. Methods Appl. Mech. Eng. 362, Article ID 112842, 27 p. (2020; Zbl 1439.76048) Full Text: DOI arXiv
Calo, Victor M.; Ern, Alexandre; Muga, Ignacio; Rojas, Sergio An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms. (English) Zbl 1436.65173 Comput. Methods Appl. Mech. Eng. 363, Article ID 112891, 23 p. (2020). MSC: 65N30 65N12 76M10 PDFBibTeX XMLCite \textit{V. M. Calo} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112891, 23 p. (2020; Zbl 1436.65173) Full Text: DOI arXiv
Castillo, E.; Codina, R. Dynamic term-by-term stabilized finite element formulation using orthogonal subgrid-scales for the incompressible Navier-Stokes problem. (English) Zbl 1441.76056 Comput. Methods Appl. Mech. Eng. 349, 701-721 (2019). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{E. Castillo} and \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 349, 701--721 (2019; Zbl 1441.76056) 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
Rubino, Samuele An efficient time-splitting approximation of the Navier-Stokes equations with LPS modeling. (English) Zbl 1428.76102 Appl. Math. Comput. 348, 318-337 (2019). MSC: 76M10 65M60 35Q30 76D05 PDFBibTeX XMLCite \textit{S. Rubino}, Appl. Math. Comput. 348, 318--337 (2019; Zbl 1428.76102) Full Text: DOI
Xie, Shenglan; Zhu, Peng; Wang, Xiaoshen Error analysis of weak Galerkin finite element methods for time-dependent convection-diffusion equations. (English) Zbl 1407.65206 Appl. Numer. Math. 137, 19-33 (2019). MSC: 65M60 65M15 76M10 PDFBibTeX XMLCite \textit{S. Xie} et al., Appl. Numer. Math. 137, 19--33 (2019; Zbl 1407.65206) Full Text: DOI
Braack, Malte Local projection stabilization for the Stokes equation with Neumann condition. (English) Zbl 1440.76053 Comput. Methods Appl. Mech. Eng. 334, 507-522 (2018). MSC: 76M10 65N30 65N12 76D07 PDFBibTeX XMLCite \textit{M. Braack}, Comput. Methods Appl. Mech. Eng. 334, 507--522 (2018; Zbl 1440.76053) Full Text: DOI
Haferssas, Ryadh; Jolivet, Pierre; Rubino, Samuele Efficient and scalable discretization of the Navier-Stokes equations with LPS modeling. (English) Zbl 1440.76067 Comput. Methods Appl. Mech. Eng. 333, 371-394 (2018). MSC: 76M10 65M60 65M55 76D05 PDFBibTeX XMLCite \textit{R. Haferssas} et al., Comput. Methods Appl. Mech. Eng. 333, 371--394 (2018; Zbl 1440.76067) Full Text: DOI
Ahmed, Naveed; John, Volker; Matthies, Gunar; Novo, Julia A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. (English) Zbl 1427.76115 Appl. Math. Comput. 333, 304-324 (2018). MSC: 76M10 65M60 65M12 65M15 76D05 PDFBibTeX XMLCite \textit{N. Ahmed} et al., Appl. Math. Comput. 333, 304--324 (2018; Zbl 1427.76115) Full Text: DOI
Bermejo, R.; Saavedra, L. Local projection stabilized Lagrange-Galerkin methods for Navier-Stokes equations at high Reynolds numbers. (English) Zbl 1435.76035 S\(\vec{\text{e}}\)MA J. 75, No. 4, 607-627 (2018). Reviewer: Kai Schneider (Marseille) MSC: 76M10 76D05 65M60 65M12 PDFBibTeX XMLCite \textit{R. Bermejo} and \textit{L. Saavedra}, S\(\vec{\text{e}}\)MA J. 75, No. 4, 607--627 (2018; Zbl 1435.76035) Full Text: DOI
Codina, Ramon On hp convergence of stabilized finite element methods for the convection-diffusion equation. (English) Zbl 1422.65380 S\(\vec{\text{e}}\)MA J. 75, No. 4, 591-606 (2018). MSC: 65N30 65N12 76R50 35Q35 PDFBibTeX XMLCite \textit{R. Codina}, S\(\vec{\text{e}}\)MA J. 75, No. 4, 591--606 (2018; Zbl 1422.65380) Full Text: DOI
Du, Jie; Chung, Eric An adaptive staggered discontinuous Galerkin method for the steady state convection-diffusion equation. (English) Zbl 1407.65286 J. Sci. Comput. 77, No. 3, 1490-1518 (2018). MSC: 65N30 65N50 65N12 65N15 76R50 35Q35 PDFBibTeX XMLCite \textit{J. Du} and \textit{E. Chung}, J. Sci. Comput. 77, No. 3, 1490--1518 (2018; Zbl 1407.65286) Full Text: DOI
Barrenechea, Gabriel R.; Wachtel, Andreas Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes. (English) Zbl 1395.65138 ESAIM, Math. Model. Numer. Anal. 52, No. 1, 99-122 (2018). MSC: 65N30 65N12 65N50 76D05 PDFBibTeX XMLCite \textit{G. R. Barrenechea} and \textit{A. Wachtel}, ESAIM, Math. Model. Numer. Anal. 52, No. 1, 99--122 (2018; Zbl 1395.65138) Full Text: DOI Link
Chacón Rebollo, Tomás; Gómez Mármol, Macarena; Hecht, Frédéric; Rubino, Samuele; Sánchez Muñoz, Isabel A high-order local projection stabilization method for natural convection problems. (English) Zbl 1397.65181 J. Sci. Comput. 74, No. 2, 667-692 (2018). Reviewer: Dana Černá (Liberec) MSC: 65M60 35Q35 76R10 65M15 76M10 PDFBibTeX XMLCite \textit{T. Chacón Rebollo} et al., J. Sci. Comput. 74, No. 2, 667--692 (2018; Zbl 1397.65181) Full Text: DOI
Xu, Chao; Shi, Dongyang; Liao, Xin A new streamline diffusion finite element method for the generalized Oseen problem. (English) Zbl 1382.65422 AMM, Appl. Math. Mech., Engl. Ed. 39, No. 2, 291-304 (2018). MSC: 65N30 76M10 65N15 PDFBibTeX XMLCite \textit{C. Xu} et al., AMM, Appl. Math. Mech., Engl. Ed. 39, No. 2, 291--304 (2018; Zbl 1382.65422) Full Text: DOI
Skrzypacz, Piotr Local projection stabilization for linearized Brinkman-Forchheimer-Darcy equation. (English) Zbl 1486.76081 Kal’menov, Tynysbek (ed.) et al., International conference ‘Functional analysis in interdisciplinary applications’, FAIA2017, Astana, Kazakhstan, October 2–5, 2017. Proceedings. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1880, 060010, 14 p. (2017). MSC: 76S05 65M60 PDFBibTeX XMLCite \textit{P. Skrzypacz}, AIP Conf. Proc. 1880, 060010, 14 p. (2017; Zbl 1486.76081) Full Text: DOI
Bai, Yanhong; Feng, Minfu A new \(L^2\) projection method for the Oseen equations. (English) Zbl 1488.65604 Adv. Appl. Math. Mech. 9, No. 6, 1420-1437 (2017). MSC: 65N30 65N12 76D07 PDFBibTeX XMLCite \textit{Y. Bai} and \textit{M. Feng}, Adv. Appl. Math. Mech. 9, No. 6, 1420--1437 (2017; Zbl 1488.65604) Full Text: DOI
Chen, Gang; Feng, Minfu Analysis of solving Galerkin finite element methods with symmetric pressure stabilization for the unsteady Navier-Stokes equations using conforming equal order interpolation. (English) Zbl 1488.65408 Adv. Appl. Math. Mech. 9, No. 2, 362-377 (2017). MSC: 65M60 65N30 65M06 65M15 65D05 76D05 76M10 76M20 35Q30 PDFBibTeX XMLCite \textit{G. Chen} and \textit{M. Feng}, Adv. Appl. Math. Mech. 9, No. 2, 362--377 (2017; Zbl 1488.65408) Full Text: DOI
Ahmed, Naveed; Becher, Simon; Matthies, Gunar Higher-order discontinuous Galerkin time stepping and local projection stabilization techniques for the transient Stokes problem. (English) Zbl 1439.76041 Comput. Methods Appl. Mech. Eng. 313, 28-52 (2017). MSC: 76M10 65M60 65M12 65M15 76D07 PDFBibTeX XMLCite \textit{N. Ahmed} et al., Comput. Methods Appl. Mech. Eng. 313, 28--52 (2017; Zbl 1439.76041) Full Text: DOI
Ganesan, Sashikumaar; Hahn, Andreas; Simon, Kristin; Tobiska, Lutz ALE-FEM for two-phase and free surface flows with surfactants. (English) Zbl 1444.76043 Bothe, Dieter (ed.) et al., Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer. Adv. Math. Fluid Mech., 5-31 (2017). MSC: 76D05 76D27 76M10 76T99 PDFBibTeX XMLCite \textit{S. Ganesan} et al., in: Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer. 5--31 (2017; Zbl 1444.76043) Full Text: DOI
Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele A review of variational multiscale methods for the simulation of turbulent incompressible flows. (English) Zbl 1360.76105 Arch. Comput. Methods Eng. 24, No. 1, 115-164 (2017). MSC: 76F65 76D05 PDFBibTeX XMLCite \textit{N. Ahmed} et al., Arch. Comput. Methods Eng. 24, No. 1, 115--164 (2017; Zbl 1360.76105) Full Text: DOI Link
Weng, Zhifeng; Yang, Jerry Zhijian; Lu, Xiliang Two-grid variational multiscale method with bubble stabilization for convection diffusion equation. (English) Zbl 1446.76055 Appl. Math. Modelling 40, No. 2, 1097-1109 (2016). MSC: 76-10 76M10 PDFBibTeX XMLCite \textit{Z. Weng} et al., Appl. Math. Modelling 40, No. 2, 1097--1109 (2016; Zbl 1446.76055) Full Text: DOI
Wacker, Benjamin; Arndt, Daniel; Lube, Gert Nodal-based finite element methods with local projection stabilization for linearized incompressible magnetohydrodynamics. (English) Zbl 1423.76284 Comput. Methods Appl. Mech. Eng. 302, 170-192 (2016). MSC: 76M10 65M60 65M15 76W05 PDFBibTeX XMLCite \textit{B. Wacker} et al., Comput. Methods Appl. Mech. Eng. 302, 170--192 (2016; Zbl 1423.76284) Full Text: DOI
Bermejo, R.; Saavedra, L. A second order in time local projection stabilized Lagrange-Galerkin method for Navier-Stokes equations at high Reynolds numbers. (English) Zbl 1404.65159 Comput. Math. Appl. 72, No. 4, 820-845 (2016). MSC: 65M60 76M10 76D05 65M06 65M15 PDFBibTeX XMLCite \textit{R. Bermejo} and \textit{L. Saavedra}, Comput. Math. Appl. 72, No. 4, 820--845 (2016; Zbl 1404.65159) Full Text: DOI
Dallmann, Helene; Arndt, Daniel Stabilized finite element methods for the Oberbeck-Boussinesq model. (English) Zbl 1457.65074 J. Sci. Comput. 69, No. 1, 244-273 (2016). MSC: 65M12 65M60 76D05 35Q35 PDFBibTeX XMLCite \textit{H. Dallmann} and \textit{D. Arndt}, J. Sci. Comput. 69, No. 1, 244--273 (2016; Zbl 1457.65074) Full Text: DOI
Li, Minghao; Shi, Dongyang; Dai, Ying Stabilized low order finite elements for Stokes equations with damping. (English) Zbl 1330.76073 J. Math. Anal. Appl. 435, No. 1, 646-660 (2016). MSC: 76M10 76D05 65N30 35Q30 PDFBibTeX XMLCite \textit{M. Li} et al., J. Math. Anal. Appl. 435, No. 1, 646--660 (2016; Zbl 1330.76073) Full Text: DOI
Lube, Gert; Arndt, Daniel; Dallmann, Helene Understanding the limits of inf-sup stable Galerkin-FEM for incompressible flows. (English) Zbl 1427.76136 Knobloch, Petr (ed.), Boundary and interior layers, computational and asymptotic methods – BAIL 2014. Proceedings of the conference, Prague, Czech Republic, September 15–19, 2014. Cham: Springer. Lect. Notes Comput. Sci. Eng. 108, 147-169 (2015). MSC: 76M10 65M60 76D05 76D07 PDFBibTeX XMLCite \textit{G. Lube} et al., Lect. Notes Comput. Sci. Eng. 108, 147--169 (2015; Zbl 1427.76136) Full Text: DOI
Bermejo, Rodolfo; Cantón, Rafael; Saavedra, Laura A local projection stabilized Lagrange-Galerkin method for convection-diffusion equations. (English) Zbl 1427.76119 Knobloch, Petr (ed.), Boundary and interior layers, computational and asymptotic methods – BAIL 2014. Proceedings of the conference, Prague, Czech Republic, September 15–19, 2014. Cham: Springer. Lect. Notes Comput. Sci. Eng. 108, 25-34 (2015). MSC: 76M10 65M60 65M12 PDFBibTeX XMLCite \textit{R. Bermejo} et al., Lect. Notes Comput. Sci. Eng. 108, 25--34 (2015; Zbl 1427.76119) Full Text: DOI
Ngo, A. Q. T.; Bastian, P.; Ippisch, O. Numerical solution of steady-state groundwater flow and solute transport problems: discontinuous Galerkin based methods compared to the streamline diffusion approach. (English) Zbl 1423.76433 Comput. Methods Appl. Mech. Eng. 294, 331-358 (2015). MSC: 76S05 76M10 65M60 74F10 PDFBibTeX XMLCite \textit{A. Q. T. Ngo} et al., Comput. Methods Appl. Mech. Eng. 294, 331--358 (2015; Zbl 1423.76433) Full Text: DOI arXiv
Xie, Hehu; Yin, Xiaobo Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem. (English) Zbl 1330.76080 Adv. Comput. Math. 41, No. 4, 799-812 (2015). MSC: 76M10 65N30 65N12 65N25 76D07 PDFBibTeX XMLCite \textit{H. Xie} and \textit{X. Yin}, Adv. Comput. Math. 41, No. 4, 799--812 (2015; Zbl 1330.76080) 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
Nguyen, Phuong Anh; Raymond, Jean-Pierre Boundary stabilization of the Navier-Stokes equations in the case of mixed boundary conditions. (English) Zbl 1327.93194 SIAM J. Control Optim. 53, No. 5, 3006-3039 (2015). MSC: 93B52 93C20 93D15 35Q30 76D55 76D05 76D07 PDFBibTeX XMLCite \textit{P. A. Nguyen} and \textit{J.-P. Raymond}, SIAM J. Control Optim. 53, No. 5, 3006--3039 (2015; Zbl 1327.93194) Full Text: DOI
Chacón Rebollo, Tomás; Girault, Vivette; Mármol, Macarena Gómez; Muñoz, Isabel Sánchez A reduced discrete inf-sup condition in \(L^p\) for incompressible flows and application. (English) Zbl 1321.35154 ESAIM, Math. Model. Numer. Anal. 49, No. 4, 1219-1238 (2015). MSC: 35Q35 65N12 76D05 86A05 65N30 PDFBibTeX XMLCite \textit{T. Chacón Rebollo} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 4, 1219--1238 (2015; Zbl 1321.35154) Full Text: DOI
Chacón Rebollo, T.; Gómez Mármol, M.; Restelli, M. Numerical analysis of penalty stabilized finite element discretizations of evolution Navier-Stokes equations. (English) Zbl 1320.76064 J. Sci. Comput. 63, No. 3, 885-912 (2015). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{T. Chacón Rebollo} et al., J. Sci. Comput. 63, No. 3, 885--912 (2015; Zbl 1320.76064) Full Text: DOI
Bayramov, N. R.; Kraus, J. K. On the stable solution of transient convection-diffusion equations. (English) Zbl 1309.76121 J. Comput. Appl. Math. 280, 275-293 (2015). MSC: 76M10 65N30 76D07 65N12 PDFBibTeX XMLCite \textit{N. R. Bayramov} and \textit{J. K. Kraus}, J. Comput. Appl. Math. 280, 275--293 (2015; Zbl 1309.76121) Full Text: DOI
Luo, Zhendong; Teng, Fei; Di, Zhenhua A POD-based reduced-order finite difference extrapolating model with fully second-order accuracy for non-stationary Stokes equations. (English) Zbl 1507.65142 Int. J. Comput. Fluid Dyn. 28, No. 6-10, 428-436 (2014). MSC: 65M06 65M12 65M15 76D07 76M20 PDFBibTeX XMLCite \textit{Z. Luo} et al., Int. J. Comput. Fluid Dyn. 28, No. 6--10, 428--436 (2014; Zbl 1507.65142) Full Text: DOI
Castillo, Ernesto; Codina, Ramon Variational multi-scale stabilized formulations for the stationary three-field incompressible viscoelastic flow problem. (English) Zbl 1423.76217 Comput. Methods Appl. Mech. Eng. 279, 579-605 (2014). MSC: 76M10 65N30 76A10 PDFBibTeX XMLCite \textit{E. Castillo} and \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 279, 579--605 (2014; Zbl 1423.76217) Full Text: DOI
Badia, Santiago; Martín, Alberto F.; Planas, Ramon Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem. (English) Zbl 1351.76046 J. Comput. Phys. 274, 562-591 (2014). MSC: 76M10 78M10 65M22 65F08 76W05 78A25 78A30 78A35 PDFBibTeX XMLCite \textit{S. Badia} et al., J. Comput. Phys. 274, 562--591 (2014; Zbl 1351.76046) Full Text: DOI Link
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
Nafa, Kamel Equal order approximations enriched with bubbles for coupled Stokes-Darcy problem. (English) Zbl 1330.65181 J. Comput. Appl. Math. 270, 275-282 (2014). MSC: 65N30 65N15 76D07 76M10 76S05 PDFBibTeX XMLCite \textit{K. Nafa}, J. Comput. Appl. Math. 270, 275--282 (2014; Zbl 1330.65181) Full Text: DOI
Chen, Gang; Feng, Minfu Subgrid scale eddy viscosity finite element method on optimal control of system governed by unsteady Oseen equations. (English) Zbl 1297.49047 Comput. Optim. Appl. 58, No. 3, 679-705 (2014). MSC: 49M25 49J20 49K20 65M60 65M12 76D07 PDFBibTeX XMLCite \textit{G. Chen} and \textit{M. Feng}, Comput. Optim. Appl. 58, No. 3, 679--705 (2014; Zbl 1297.49047) Full Text: DOI
Shi, Dongyang; Yu, Zhiyun Superclose and superconvergence of finite element discretizations for the Stokes equations with damping. (English) Zbl 1366.76056 Appl. Math. Comput. 219, No. 14, 7693-7698 (2013). MSC: 76M10 76D07 65N12 65N30 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Z. Yu}, Appl. Math. Comput. 219, No. 14, 7693--7698 (2013; Zbl 1366.76056) Full Text: DOI
Hirn, Adrian Approximation of the \(p\)-Stokes equations with equal-order finite elements. (English) Zbl 1430.76365 J. Math. Fluid Mech. 15, No. 1, 65-88 (2013). MSC: 76M10 65N30 76A05 76D07 35B45 PDFBibTeX XMLCite \textit{A. Hirn}, J. Math. Fluid Mech. 15, No. 1, 65--88 (2013; Zbl 1430.76365) Full Text: DOI
Knobloch, Petr; Tobiska, Lutz Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem. (English) Zbl 1343.76019 Numer. Methods Partial Differ. Equations 29, No. 1, 206-225 (2013). MSC: 76M10 76D07 65N12 65N15 PDFBibTeX XMLCite \textit{P. Knobloch} and \textit{L. Tobiska}, Numer. Methods Partial Differ. Equations 29, No. 1, 206--225 (2013; Zbl 1343.76019) Full Text: DOI
Badia, Santiago On stabilized finite element methods based on the Scott-Zhang projector. Circumventing the inf-sup condition for the Stokes problem. (English) Zbl 1352.76038 Comput. Methods Appl. Mech. Eng. 247-248, 65-72 (2012). MSC: 76M10 76D07 65N30 65N12 PDFBibTeX XMLCite \textit{S. Badia}, Comput. Methods Appl. Mech. Eng. 247--248, 65--72 (2012; Zbl 1352.76038) Full Text: DOI
Zheng, Haibiao; Yu, Jiaping; Li, Kaitai; Shi, Feng A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrations. (English) Zbl 1311.76023 Appl. Math. Comput. 219, No. 8, 3701-3708 (2012). MSC: 76D05 76M10 PDFBibTeX XMLCite \textit{H. Zheng} et al., Appl. Math. Comput. 219, No. 8, 3701--3708 (2012; Zbl 1311.76023) Full Text: DOI
Löwe, Johannes; Lube, Gert A projection-based variational multiscale method for large-eddy simulation with application to non-isothermal free convection problems. (English) Zbl 1426.76287 Math. Models Methods Appl. Sci. 22, No. 2, 1150011, 31 p. (2012). MSC: 76M10 76D05 76R10 76M30 76F65 65M12 65M15 PDFBibTeX XMLCite \textit{J. Löwe} and \textit{G. Lube}, Math. Models Methods Appl. Sci. 22, No. 2, 1150011, 31 p. (2012; Zbl 1426.76287) Full Text: DOI
Ahmed, N.; Matthies, G.; Tobiska, L.; Xie, H. Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems. (English) Zbl 1228.76078 Comput. Methods Appl. Mech. Eng. 200, No. 21-22, 1747-1756 (2011). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{N. Ahmed} et al., Comput. Methods Appl. Mech. Eng. 200, No. 21--22, 1747--1756 (2011; Zbl 1228.76078) Full Text: DOI
Braack, M.; Schieweck, F. Equal-order finite elements with local projection stabilization for the Darcy-brinkman equations. (English) Zbl 1225.76192 Comput. Methods Appl. Mech. Eng. 200, No. 9-12, 1126-1136 (2011). MSC: 76M10 76S05 PDFBibTeX XMLCite \textit{M. Braack} and \textit{F. Schieweck}, Comput. Methods Appl. Mech. Eng. 200, No. 9--12, 1126--1136 (2011; Zbl 1225.76192) Full Text: DOI
Eichel, Hagen; Tobiska, Lutz; Xie, Hehu Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes problem. (English) Zbl 1410.76168 Math. Comput. 80, No. 274, 697-722 (2011). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{H. Eichel} et al., Math. Comput. 80, No. 274, 697--722 (2011; Zbl 1410.76168) Full Text: DOI
Zhang, Yan; He, Yinnian A two-level finite element method for the stationary Navier-Stokes equations based on a stabilized local projection. (English) Zbl 1428.35318 Numer. Methods Partial Differ. Equations 27, No. 2, 460-477 (2011). MSC: 35Q30 76M10 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Y. He}, Numer. Methods Partial Differ. Equations 27, No. 2, 460--477 (2011; Zbl 1428.35318) Full Text: DOI
Röhe, Lars; Lube, Gert Analysis of a variational multiscale method for large-eddy simulation and its application to homogeneous isotropic turbulence. (English) Zbl 1231.76121 Comput. Methods Appl. Mech. Eng. 199, No. 37-40, 2331-2342 (2010). MSC: 76F65 76F05 76M30 PDFBibTeX XMLCite \textit{L. Röhe} and \textit{G. Lube}, Comput. Methods Appl. Mech. Eng. 199, No. 37--40, 2331--2342 (2010; Zbl 1231.76121) Full Text: DOI
Ganesan, Sashikumaar; Tobiska, Lutz Stabilization by local projection for convection-diffusion and incompressible flow problems. (English) Zbl 1203.76138 J. Sci. Comput. 43, No. 3, 326-342 (2010). MSC: 76R10 76M10 65N30 76R50 PDFBibTeX XMLCite \textit{S. Ganesan} and \textit{L. Tobiska}, J. Sci. Comput. 43, No. 3, 326--342 (2010; Zbl 1203.76138) Full Text: DOI
Qin, Yanmei; Feng, Minfu; Luo, Kun; Wu, Kaiteng Local projection stabilized finite element method for Navier-Stokes equations. (English) Zbl 1378.76053 Appl. Math. Mech., Engl. Ed. 31, No. 5, 651-664 (2010). MSC: 76M10 76D05 65M12 65N30 PDFBibTeX XMLCite \textit{Y. Qin} et al., Appl. Math. Mech., Engl. Ed. 31, No. 5, 651--664 (2010; Zbl 1378.76053) Full Text: DOI
John, Volker; Roland, Michael On the impact of the scheme for solving the higher dimensional equation in coupled population balance systems. (English) Zbl 1188.76236 Int. J. Numer. Methods Eng. 82, No. 11, 1450-1474 (2010). MSC: 76M20 76M10 76V05 76D05 92E20 PDFBibTeX XMLCite \textit{V. John} and \textit{M. Roland}, Int. J. Numer. Methods Eng. 82, No. 11, 1450--1474 (2010; Zbl 1188.76236) Full Text: DOI
Linke, Alexander Collision in a cross-shaped domain - A steady 2D Navier-Stokes example demonstrating the importance of mass conservation in CFD. (English) Zbl 1230.76028 Comput. Methods Appl. Mech. Eng. 198, No. 41-44, 3278-3286 (2009). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{A. Linke}, Comput. Methods Appl. Mech. Eng. 198, No. 41--44, 3278--3286 (2009; Zbl 1230.76028) Full Text: DOI
Nafa, Kamel; Wathen, Andrew J. Local projection stabilized Galerkin approximations for the generalized Stokes problem. (English) Zbl 1229.76054 Comput. Methods Appl. Mech. Eng. 198, No. 5-8, 877-883 (2009). MSC: 76M10 76D07 PDFBibTeX XMLCite \textit{K. Nafa} and \textit{A. J. Wathen}, Comput. Methods Appl. Mech. Eng. 198, No. 5--8, 877--883 (2009; Zbl 1229.76054) Full Text: DOI
Tobiska, Lutz On the relationship of local projection stabilization to other stabilized methods for one-dimensional advection-diffusion equations. (English) Zbl 1229.76059 Comput. Methods Appl. Mech. Eng. 198, No. 5-8, 831-837 (2009). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{L. Tobiska}, Comput. Methods Appl. Mech. Eng. 198, No. 5--8, 831--837 (2009; Zbl 1229.76059) 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
Löwe, J. A locally adapting parameter design for the divergence stabilization of FEM discretizations of the Navier-Stokes equations. (English) Zbl 1179.35219 Hegarty, Alan F. (ed.) et al., BAIL 2008 – Boundary and interior layers. Proceedings of the international conference on boundary and interior layers – computational and asymptotic methods, Limerick, Ireland, July 28–August 1, 2008. Berlin: Springer (ISBN 978-3-642-00604-3/pbk; 978-3-642-00605-0/ebook). Lecture Notes in Computational Science and Engineering 69, 195-204 (2009). MSC: 35Q30 76D05 76M10 65M12 65M60 PDFBibTeX XMLCite \textit{J. Löwe}, Lect. Notes Comput. Sci. Eng. 69, 195--204 (2009; Zbl 1179.35219) Full Text: DOI
John, Volker; Schmeyer, Ellen Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion. (English) Zbl 1228.76088 Comput. Methods Appl. Mech. Eng. 198, No. 3-4, 475-494 (2008). MSC: 76M10 76R99 76V05 PDFBibTeX XMLCite \textit{V. John} and \textit{E. Schmeyer}, Comput. Methods Appl. Mech. Eng. 198, No. 3--4, 475--494 (2008; Zbl 1228.76088) Full Text: DOI
Linke, Alexander; Matthies, Gunar; Tobiska, Lutz Non-nested multi-grid solvers for mixed divergence-free scott-vogelius discretizations. (English) Zbl 1175.65144 Computing 83, No. 2-3, 87-107 (2008). MSC: 65N55 35J25 76D07 76M10 65N30 65N12 PDFBibTeX XMLCite \textit{A. Linke} et al., Computing 83, No. 2--3, 87--107 (2008; Zbl 1175.65144) Full Text: DOI
Braack, Malte A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes. (English) Zbl 1149.76026 ESAIM, Math. Model. Numer. Anal. 42, No. 6, 903-924 (2008). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{M. Braack}, ESAIM, Math. Model. Numer. Anal. 42, No. 6, 903--924 (2008; Zbl 1149.76026) Full Text: DOI EuDML
Ganesan, Sashikumaar; John, Volker Pressure separation – a technique for improving the velocity error in finite element discretisations of the Navier-Stokes equations. (English) Zbl 1125.76039 Appl. Math. Comput. 165, No. 2, 275-290 (2005). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{S. Ganesan} and \textit{V. John}, Appl. Math. Comput. 165, No. 2, 275--290 (2005; Zbl 1125.76039) Full Text: DOI