Gravenkamp, Hauke; Pfeil, Simon; Codina, Ramon Stabilized finite elements for the solution of the Reynolds equation considering cavitation. (English) Zbl 07822135 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116488, 14 p. (2024). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{H. Gravenkamp} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116488, 14 p. (2024; Zbl 07822135) Full Text: DOI arXiv
Tassi, Tommaso; Zingaro, Alberto; Dede’, Luca A machine learning approach to enhance the SUPG stabilization method for advection-dominated differential problems. (English) Zbl 07817667 Math. Eng. (Springfield) 5, No. 2, Paper No. 32, 26 p. (2023). MSC: 68T05 65M60 65N30 76M10 PDFBibTeX XMLCite \textit{T. Tassi} et al., Math. Eng. (Springfield) 5, No. 2, Paper No. 32, 26 p. (2023; Zbl 07817667) Full Text: DOI arXiv
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
Giraldo, Juan F.; Calo, Victor M. A variational multiscale method derived from an adaptive stabilized conforming finite element method via residual minimization on dual norms. (English) Zbl 07788078 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116285, 22 p. (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. F. Giraldo} and \textit{V. M. Calo}, Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116285, 22 p. (2023; Zbl 07788078) 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
Kumar, B. V. Rathish; Chowdhury, Manisha Time dependent subgrid multiscale stabilized finite element analysis of fully coupled transient Navier-Stokes-transport model. (English) Zbl 07777002 Numer. Methods Partial Differ. Equations 39, No. 3, 2163-2201 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{B. V. R. Kumar} and \textit{M. Chowdhury}, Numer. Methods Partial Differ. Equations 39, No. 3, 2163--2201 (2023; Zbl 07777002) Full Text: DOI
Mishra, Sudheer; Natarajan, E. A streamline-derivative-based local projection stabilization virtual element method for nonlinear convection-diffusion-reaction equation. (English) Zbl 1527.65130 Calcolo 60, No. 4, Paper No. 46, 41 p. (2023). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{S. Mishra} and \textit{E. Natarajan}, Calcolo 60, No. 4, Paper No. 46, 41 p. (2023; Zbl 1527.65130) Full Text: DOI
Moreno, Laura; Castañar, Inocencio; Codina, Ramon; Baiges, Joan; Cattoni, Domingo Numerical simulation of fluid-structure interaction problems with viscoelastic fluids using a log-conformation reformulation. (English) Zbl 07737568 Comput. Methods Appl. Mech. Eng. 410, Article ID 115986, 30 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{L. Moreno} et al., Comput. Methods Appl. Mech. Eng. 410, Article ID 115986, 30 p. (2023; Zbl 07737568) Full Text: DOI
Araya, Rodolfo; Cárcamo, Cristian; Poza, Abner H. A stabilized finite element method for the Stokes-temperature coupled problem. (English) Zbl 07705762 Appl. Numer. Math. 187, 24-49 (2023). MSC: 65N30 65N12 65N15 76D07 76M10 80A19 35B65 PDFBibTeX XMLCite \textit{R. Araya} et al., Appl. Numer. Math. 187, 24--49 (2023; Zbl 07705762) Full Text: DOI
Sváček, Petr On numerical simulation of fluid-structure interaction problems using variational multiscale methods. (English) Zbl 1512.65219 J. Comput. Appl. Math. 427, Article ID 115125, 11 p. (2023). MSC: 65M60 65P10 76M10 PDFBibTeX XMLCite \textit{P. Sváček}, J. Comput. Appl. Math. 427, Article ID 115125, 11 p. (2023; Zbl 1512.65219) Full Text: DOI
Codina, Ramon; Baiges, Joan; Castañar, Inocencio; Martínez-Suárez, Ignacio; Moreno, Laura; Parada, Samuel An embedded strategy for large scale incompressible flow simulations in moving domains. (English) Zbl 07696957 J. Comput. Phys. 488, Article ID 112181, 23 p. (2023). MSC: 76Mxx 65Nxx 76Dxx PDFBibTeX XMLCite \textit{R. Codina} et al., J. Comput. Phys. 488, Article ID 112181, 23 p. (2023; Zbl 07696957) Full Text: DOI
Fabra, Arnau; Baiges, Joan; Codina, Ramon Finite element approximation of wave problems with correcting terms based on training artificial neural networks with fine solutions. (English) Zbl 1507.65180 Comput. Methods Appl. Mech. Eng. 399, Article ID 115280, 22 p. (2022). MSC: 65M60 76M10 PDFBibTeX XMLCite \textit{A. Fabra} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115280, 22 p. (2022; Zbl 1507.65180) Full Text: DOI
Stoter, Stein K. F.; Cockburn, Bernardo; Hughes, Thomas J. R.; Schillinger, Dominik Discontinuous Galerkin methods through the Lens of variational multiscale analysis. (English) Zbl 1507.76123 Comput. Methods Appl. Mech. Eng. 388, Article ID 114220, 26 p. (2022). MSC: 76M10 65N30 PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114220, 26 p. (2022; Zbl 1507.76123) Full Text: DOI
Han, Yongbin; Hou, Yanren An embedded discontinuous Galerkin method for the Oseen equations. (English) Zbl 1491.65137 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2349-2364 (2021). MSC: 65N30 65N12 65N22 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{Y. Han} and \textit{Y. Hou}, ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2349--2364 (2021; Zbl 1491.65137) Full Text: DOI
Araya, Rodolfo; Cárcamo, Cristian; Poza, Abner H. An adaptive stabilized finite element method for the Darcy’s equations with pressure dependent viscosities. (English) Zbl 1507.76194 Comput. Methods Appl. Mech. Eng. 387, Article ID 114100, 24 p. (2021). MSC: 76S05 76M10 PDFBibTeX XMLCite \textit{R. Araya} et al., Comput. Methods Appl. Mech. Eng. 387, Article ID 114100, 24 p. (2021; Zbl 1507.76194) Full Text: DOI
Ahmed, Naveed; Barrenechea, Gabriel R.; Burman, Erik; Guzmán, Johnny; Linke, Alexander; Merdon, Christian A pressure-robust discretization of Oseen’s equation using stabilization in the vorticity equation. (English) Zbl 1477.65185 SIAM J. Numer. Anal. 59, No. 5, 2746-2774 (2021). MSC: 65N30 65N12 76D07 76D05 76E06 PDFBibTeX XMLCite \textit{N. Ahmed} et al., SIAM J. Numer. Anal. 59, No. 5, 2746--2774 (2021; Zbl 1477.65185) Full Text: DOI arXiv
Codina, Ramon; Moreno, Laura Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem. (English) Zbl 1491.65130 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 279-300 (2021). MSC: 65N30 65N12 76A10 76M10 PDFBibTeX XMLCite \textit{R. Codina} and \textit{L. Moreno}, ESAIM, Math. Model. Numer. Anal. 55, 279--300 (2021; Zbl 1491.65130) Full Text: DOI
Rossi, R.; Zorrilla, R.; Codina, R. A stabilised displacement-volumetric strain formulation for nearly incompressible and anisotropic materials. (English) Zbl 1506.74079 Comput. Methods Appl. Mech. Eng. 377, Article ID 113701, 26 p. (2021). MSC: 74E10 74S05 65N30 PDFBibTeX XMLCite \textit{R. Rossi} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113701, 26 p. (2021; Zbl 1506.74079) Full Text: DOI
Abugattas, C.; Aguirre, A.; Castillo, E.; Cruchaga, M. Numerical study of bifurcation blood flows using three different non-Newtonian constitutive models. (English) Zbl 1481.76295 Appl. Math. Modelling 88, 529-549 (2020). MSC: 76Z05 76A05 92C35 PDFBibTeX XMLCite \textit{C. Abugattas} et al., Appl. Math. Modelling 88, 529--549 (2020; Zbl 1481.76295) Full Text: DOI
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
Farhloul, Mohamed Mixed finite element methods for the Oseen problem. (English) Zbl 1457.76099 Numer. Algorithms 84, No. 4, 1431-1442 (2020). Reviewer: Aleksey Syromyasov (Saransk) MSC: 76M10 76D07 65N15 PDFBibTeX XMLCite \textit{M. Farhloul}, Numer. Algorithms 84, No. 4, 1431--1442 (2020; Zbl 1457.76099) Full Text: DOI
Moreno, Laura; Codina, Ramon; Baiges, Joan Solution of transient viscoelastic flow problems approximated by a term-by-term VMS stabilized finite element formulation using time-dependent subgrid-scales. (English) Zbl 1442.76068 Comput. Methods Appl. Mech. Eng. 367, Article ID 113074, 25 p. (2020). MSC: 76M10 76D05 76A10 65M60 PDFBibTeX XMLCite \textit{L. Moreno} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113074, 25 p. (2020; Zbl 1442.76068) 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
Reyes, Ricardo; Codina, Ramon Projection-based reduced order models for flow problems: a variational multiscale approach. (English) Zbl 1436.76034 Comput. Methods Appl. Mech. Eng. 363, Article ID 112844, 29 p. (2020). MSC: 76M10 65M60 49M25 PDFBibTeX XMLCite \textit{R. Reyes} and \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 363, Article ID 112844, 29 p. (2020; Zbl 1436.76034) Full Text: DOI
Parada, Samuel; Baiges, Joan; Codina, Ramon A fractional step method for computational aeroacoustics using weak imposition of Dirichlet boundary conditions. (English) Zbl 1519.76314 Comput. Fluids 197, Article ID 104374, 17 p. (2020). MSC: 76Q05 76M10 PDFBibTeX XMLCite \textit{S. Parada} et al., Comput. Fluids 197, Article ID 104374, 17 p. (2020; Zbl 1519.76314) Full Text: DOI Link
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
Moreno, Laura; Codina, Ramon; Baiges, Joan; Castillo, Ernesto Logarithmic conformation reformulation in viscoelastic flow problems approximated by a VMS-type stabilized finite element formulation. (English) Zbl 1441.76068 Comput. Methods Appl. Mech. Eng. 354, 706-731 (2019). MSC: 76M10 65M60 76A10 PDFBibTeX XMLCite \textit{L. Moreno} et al., Comput. Methods Appl. Mech. Eng. 354, 706--731 (2019; Zbl 1441.76068) Full Text: DOI Link
Castillo, Ernesto; Cruchaga, Marcela A.; Baiges, Joan; Flores, José An oil sloshing study: adaptive fixed-mesh ALE analysis and comparison with experiments. (English) Zbl 1466.76004 Comput. Mech. 63, No. 5, 985-998 (2019). MSC: 76A10 76M10 76-05 PDFBibTeX XMLCite \textit{E. Castillo} et al., Comput. Mech. 63, No. 5, 985--998 (2019; Zbl 1466.76004) Full Text: DOI Link
Lu, Junxiang; Zhang, Tong Adaptive stabilized finite volume method and convergence analysis for the Oseen equations. (English) Zbl 1499.65620 Bound. Value Probl. 2018, Paper No. 129, 27 p. (2018). MSC: 65N08 65N30 35A01 35A02 65N12 65N15 76D07 76M10 76M12 35Q35 PDFBibTeX XMLCite \textit{J. Lu} and \textit{T. Zhang}, Bound. Value Probl. 2018, Paper No. 129, 27 p. (2018; Zbl 1499.65620) Full Text: DOI
Colomés, Oriol; Scovazzi, Guglielmo; Guilleminot, Johann On the robustness of variational multiscale error estimators for the forward propagation of uncertainty. (English) Zbl 1440.65196 Comput. Methods Appl. Mech. Eng. 342, 384-413 (2018). MSC: 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{O. Colomés} et al., Comput. Methods Appl. Mech. Eng. 342, 384--413 (2018; Zbl 1440.65196) Full Text: DOI
Massing, A.; Schott, B.; Wall, W. A. A stabilized Nitsche cut finite element method for the Oseen problem. (English) Zbl 1439.76087 Comput. Methods Appl. Mech. Eng. 328, 262-300 (2018). MSC: 76M10 65N30 35Q35 76D07 PDFBibTeX XMLCite \textit{A. Massing} et al., Comput. Methods Appl. Mech. Eng. 328, 262--300 (2018; Zbl 1439.76087) Full Text: DOI arXiv
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
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
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
Barrios, Tomás P.; Cascón, J. Manuel; González, María Augmented mixed finite element method for the Oseen problem: a priori and a posteriori error analyses. (English) Zbl 1439.76049 Comput. Methods Appl. Mech. Eng. 313, 216-238 (2017). MSC: 76M10 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{T. P. Barrios} et al., Comput. Methods Appl. Mech. Eng. 313, 216--238 (2017; Zbl 1439.76049) Full Text: DOI Link
Colomés, Oriol; Badia, Santiago Segregated Runge-Kutta time integration of convection-stabilized mixed finite element schemes for wall-unresolved LES of incompressible flows. (English) Zbl 1439.76034 Comput. Methods Appl. Mech. Eng. 313, 189-215 (2017). MSC: 76F65 65M60 76M10 PDFBibTeX XMLCite \textit{O. Colomés} and \textit{S. Badia}, Comput. Methods Appl. Mech. Eng. 313, 189--215 (2017; Zbl 1439.76034) Full Text: DOI
Baiges, Joan; Codina, Ramon; Pont, Arnau; Castillo, Ernesto An adaptive fixed-mesh ALE method for free surface flows. (English) Zbl 1439.76047 Comput. Methods Appl. Mech. Eng. 313, 159-188 (2017). MSC: 76M10 65M60 65M12 65Y15 76D05 PDFBibTeX XMLCite \textit{J. Baiges} et al., Comput. Methods Appl. Mech. Eng. 313, 159--188 (2017; Zbl 1439.76047) Full Text: DOI Link
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
Türk, Önder; Boffi, Daniele; Codina, Ramon A stabilized finite element method for the two-field and three-field Stokes eigenvalue problems. (English) Zbl 1439.76099 Comput. Methods Appl. Mech. Eng. 310, 886-905 (2016). MSC: 76M10 65N30 65N25 76D07 PDFBibTeX XMLCite \textit{Ö. Türk} et al., Comput. Methods Appl. Mech. Eng. 310, 886--905 (2016; Zbl 1439.76099) Full Text: DOI arXiv
Colomés, Oriol; Badia, Santiago; Principe, Javier Mixed finite element methods with convection stabilization for the large eddy simulation of incompressible turbulent flows. (English) Zbl 1423.76153 Comput. Methods Appl. Mech. Eng. 304, 294-318 (2016). MSC: 76F65 65M60 76M10 PDFBibTeX XMLCite \textit{O. Colomés} et al., Comput. Methods Appl. Mech. Eng. 304, 294--318 (2016; Zbl 1423.76153) Full Text: DOI Link
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia Grad-div stabilization for the evolutionary Oseen problem with inf-sup stable finite elements. (English) Zbl 1462.65138 J. Sci. Comput. 66, No. 3, 991-1024 (2016). MSC: 65M60 65M06 65M12 65M15 76D07 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{J. de Frutos} et al., J. Sci. Comput. 66, No. 3, 991--1024 (2016; Zbl 1462.65138) Full Text: DOI
Cervera, M.; Lafontaine, N.; Rossi, R.; Chiumenti, M. Explicit mixed strain-displacement finite elements for compressible and quasi-incompressible elasticity and plasticity. (English) Zbl 1398.74315 Comput. Mech. 58, No. 3, 511-532 (2016). MSC: 74S05 76M10 74C99 65N30 74B05 PDFBibTeX XMLCite \textit{M. Cervera} et al., Comput. Mech. 58, No. 3, 511--532 (2016; Zbl 1398.74315) Full Text: DOI
Zhang, Tong; Zhao, Jing A posteriori error estimates of finite element method for the time-dependent Oseen equations. (English) Zbl 1338.65236 Appl. Anal. 95, No. 5, 1144-1163 (2016). MSC: 65N15 65N30 76D05 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{J. Zhao}, Appl. Anal. 95, No. 5, 1144--1163 (2016; Zbl 1338.65236) Full Text: DOI
Chen, Gang; Feng, Minfu Explicitly uncoupled variational multiscale for characteristic finite element methods based on the unsteady Navier-Stokes equations with high Reynolds number. (English) Zbl 1443.76149 Appl. Math. Modelling 39, No. 14, 4202-4212 (2015). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{G. Chen} and \textit{M. Feng}, Appl. Math. Modelling 39, No. 14, 4202--4212 (2015; Zbl 1443.76149) Full Text: DOI
Espinoza, Hector; Codina, Ramon; Badia, Santiago On some time marching schemes for the stabilized finite element approximation of the mixed wave equation. (English) Zbl 1425.65110 Comput. Methods Appl. Mech. Eng. 296, 295-326 (2015). MSC: 65M60 35F46 35L05 35L50 35L65 35M13 65M12 65M15 PDFBibTeX XMLCite \textit{H. Espinoza} et al., Comput. Methods Appl. Mech. Eng. 296, 295--326 (2015; Zbl 1425.65110) Full Text: DOI Link
Cervera, M.; Chiumenti, M.; Benedetti, L.; Codina, R. Mixed stabilized finite element methods in nonlinear solid mechanics. III: compressible and incompressible plasticity. (English) Zbl 1423.74149 Comput. Methods Appl. Mech. Eng. 285, 752-775 (2015). MSC: 74C05 74S05 65N30 PDFBibTeX XMLCite \textit{M. Cervera} et al., Comput. Methods Appl. Mech. Eng. 285, 752--775 (2015; Zbl 1423.74149) Full Text: DOI
Colomés, Oriol; Badia, Santiago; Codina, Ramon; Principe, Javier Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows. (English) Zbl 1423.76152 Comput. Methods Appl. Mech. Eng. 285, 32-63 (2015). MSC: 76F65 65M60 76D05 76M10 PDFBibTeX XMLCite \textit{O. Colomés} et al., Comput. Methods Appl. Mech. Eng. 285, 32--63 (2015; Zbl 1423.76152) Full Text: DOI Link
Castillo, E.; Codina, R. First, second and third order fractional step methods for the three-field viscoelastic flow problem. (English) Zbl 1352.76044 J. Comput. Phys. 296, 113-137 (2015). MSC: 76M10 65M60 35Q35 65M12 76A10 PDFBibTeX XMLCite \textit{E. Castillo} and \textit{R. Codina}, J. Comput. Phys. 296, 113--137 (2015; Zbl 1352.76044) Full Text: DOI
Badia, Santiago; Codina, Ramon; Planas, Ramon Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics. (English) Zbl 1348.76097 Arch. Comput. Methods Eng. 22, No. 4, 621-636 (2015). MSC: 76M10 76W05 65N30 65N12 PDFBibTeX XMLCite \textit{S. Badia} et al., Arch. Comput. Methods Eng. 22, No. 4, 621--636 (2015; Zbl 1348.76097) Full Text: DOI Link
Lafontaine, N. M.; Rossi, R.; Cervera, M.; Chiumenti, M. Explicit mixed strain-displacement finite element for dynamic geometrically non-linear solid mechanics. (English) Zbl 1311.74028 Comput. Mech. 55, No. 3, 543-559 (2015). MSC: 74C20 74H15 74S05 PDFBibTeX XMLCite \textit{N. M. Lafontaine} et al., Comput. Mech. 55, No. 3, 543--559 (2015; Zbl 1311.74028) Full Text: DOI Link
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
Castillo, Ernesto; Codina, Ramon Stabilized stress-velocity-pressure finite element formulations of the Navier-Stokes problem for fluids with non-linear viscosity. (English) Zbl 1423.76216 Comput. Methods Appl. Mech. Eng. 279, 554-578 (2014). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{E. Castillo} and \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 279, 554--578 (2014; Zbl 1423.76216) Full Text: DOI
Espinoza, Hector; Codina, Ramon; Badia, Santiago A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form. (English) Zbl 1423.76229 Comput. Methods Appl. Mech. Eng. 276, 122-148 (2014). MSC: 76M10 65M60 35L05 35F46 65M12 PDFBibTeX XMLCite \textit{H. Espinoza} et al., Comput. Methods Appl. Mech. Eng. 276, 122--148 (2014; Zbl 1423.76229) Full Text: DOI
Avila, Matias; Codina, Ramon; Principe, Javier Large eddy simulation of low Mach number flows using dynamic and orthogonal subgrid scales. (English) Zbl 1391.76196 Comput. Fluids 99, 44-66 (2014). MSC: 76F65 65M60 PDFBibTeX XMLCite \textit{M. Avila} et al., Comput. Fluids 99, 44--66 (2014; Zbl 1391.76196) 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
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
Baiges, Joan; Codina, Ramon A variational multiscale method with subscales on the element boundaries for the Helmholtz equation. (English) Zbl 1352.65467 Int. J. Numer. Methods Eng. 93, No. 6, 664-684 (2013). MSC: 65N30 35J05 65N12 PDFBibTeX XMLCite \textit{J. Baiges} and \textit{R. Codina}, Int. J. Numer. Methods Eng. 93, No. 6, 664--684 (2013; Zbl 1352.65467) Full Text: DOI
Badia, Santiago; Planas, Ramon; Gutiérrez-Santacreu, Juan Vicente Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections. (English) Zbl 1352.76122 Int. J. Numer. Methods Eng. 93, No. 3, 302-328 (2013). MSC: 76W05 76M10 PDFBibTeX XMLCite \textit{S. Badia} et al., Int. J. Numer. Methods Eng. 93, No. 3, 302--328 (2013; Zbl 1352.76122) Full Text: DOI
Codina, Ramon; Badia, Santiago On the design of discontinuous Galerkin methods for elliptic problems based on hybrid formulations. (English) Zbl 1286.65157 Comput. Methods Appl. Mech. Eng. 263, 158-168 (2013). MSC: 65N30 PDFBibTeX XMLCite \textit{R. Codina} and \textit{S. Badia}, Comput. Methods Appl. Mech. Eng. 263, 158--168 (2013; Zbl 1286.65157) Full Text: DOI Link
Guasch, Oriol; Codina, Ramon Statistical behavior of the orthogonal subgrid scale stabilization terms in the finite element large eddy simulation of turbulent flows. (English) Zbl 1286.76066 Comput. Methods Appl. Mech. Eng. 261-262, 154-166 (2013). MSC: 76F65 76M10 65M60 PDFBibTeX XMLCite \textit{O. Guasch} and \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 261--262, 154--166 (2013; Zbl 1286.76066) Full Text: DOI
Roos, Hans-Görg Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012. (English) Zbl 1264.65116 ISRN Appl. Math. 2012, Article ID 379547, 30 p. (2012). MSC: 65L11 PDFBibTeX XMLCite \textit{H.-G. Roos}, ISRN Appl. Math. 2012, Article ID 379547, 30 p. (2012; Zbl 1264.65116) Full Text: DOI
Owen, H.; Codina, R. A third-order velocity correction scheme obtained at the discrete level. (English) Zbl 1426.76294 Int. J. Numer. Methods Fluids 69, No. 1, 57-72 (2012). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{H. Owen} and \textit{R. Codina}, Int. J. Numer. Methods Fluids 69, No. 1, 57--72 (2012; Zbl 1426.76294) Full Text: DOI Link
Badia, Santiago; Codina, Ramon Stokes, Maxwell and Darcy: a single finite element approximation for three model problems. (English) Zbl 1241.65097 Appl. Numer. Math. 62, No. 4, 246-263 (2012). MSC: 65N30 35J25 35Q35 35Q61 65N12 PDFBibTeX XMLCite \textit{S. Badia} and \textit{R. Codina}, Appl. Numer. Math. 62, No. 4, 246--263 (2012; Zbl 1241.65097) Full Text: DOI Link
Codina, Ramon; Principe, Javier; Badia, Santiago Dissipative structure and long term behavior of a finite element approximation of incompressible flows with numerical subgrid scale modeling. (English) Zbl 1323.76048 de Borst, René (ed.) et al., Multiscale methods in computational mechanics. Progress and accomplishments. Selected papers based on the presentations at the international colloquium (MMCM 2009), Rolduc, The Netherlands, March 11–13, 2009. New York, NY: Springer (ISBN 978-90-481-9808-5/hbk; 978-94-007-3386-2/pbk; 978-90-481-9809-2/ebook). Lecture Notes in Applied and Computational Mechanics 55, 75-93 (2011). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{R. Codina} et al., Lect. Notes Appl. Comput. Mech. 55, 75--93 (2011; Zbl 1323.76048) Full Text: DOI
Codina, Ramon; Baiges, Joan Finite element approximation of transmission conditions in fluids and solids introducing boundary subgrid scales. (English) Zbl 1242.74103 Int. J. Numer. Methods Eng. 87, No. 1-5, 386-411 (2011). MSC: 74S05 74F10 76M10 76D07 PDFBibTeX XMLCite \textit{R. Codina} and \textit{J. Baiges}, Int. J. Numer. Methods Eng. 87, No. 1--5, 386--411 (2011; Zbl 1242.74103) Full Text: DOI Link
Badia, Santiago; Codina, Ramon A combined nodal continuous-discontinuous finite element formulation for the Maxwell problem. (English) Zbl 1243.78042 Appl. Math. Comput. 218, No. 8, 4276-4294 (2011). MSC: 78M10 65N30 PDFBibTeX XMLCite \textit{S. Badia} and \textit{R. Codina}, Appl. Math. Comput. 218, No. 8, 4276--4294 (2011; Zbl 1243.78042) Full Text: DOI
Barrenechea, Gabriel R.; Valentin, Frédéric Beyond pressure stabilization: a low-order local projection method for the Oseen equation. (English) Zbl 1235.76059 Int. J. Numer. Methods Eng. 86, No. 7, 801-815 (2011). MSC: 76M10 76D07 PDFBibTeX XMLCite \textit{G. R. Barrenechea} and \textit{F. Valentin}, Int. J. Numer. Methods Eng. 86, No. 7, 801--815 (2011; Zbl 1235.76059) Full Text: DOI
Avila, Matias; Codina, Ramon; Principe, Javier Spatial approximation of the radiation transport equation using a subgrid-scale finite element method. (English) Zbl 1225.80010 Comput. Methods Appl. Mech. Eng. 200, No. 5-8, 425-438 (2011). MSC: 80M10 80A20 PDFBibTeX XMLCite \textit{M. Avila} et al., Comput. Methods Appl. Mech. Eng. 200, No. 5--8, 425--438 (2011; Zbl 1225.80010) Full Text: DOI Link
Coppola-Owen, H.; Codina, R. A free surface finite element model for low Froude number mould filling problems on fixed meshes. (English) Zbl 1452.76084 Int. J. Numer. Methods Fluids 66, No. 7, 833-851 (2011). MSC: 76M10 76B07 PDFBibTeX XMLCite \textit{H. Coppola-Owen} and \textit{R. Codina}, Int. J. Numer. Methods Fluids 66, No. 7, 833--851 (2011; Zbl 1452.76084) Full Text: DOI Link
Codina, Ramon; Hernández, Noel Approximation of the thermally coupled MHD problem using a stabilized finite element method. (English) Zbl 1391.76317 J. Comput. Phys. 230, No. 4, 1281-1303 (2011). MSC: 76M10 65M60 76W05 80A20 PDFBibTeX XMLCite \textit{R. Codina} and \textit{N. Hernández}, J. Comput. Phys. 230, No. 4, 1281--1303 (2011; Zbl 1391.76317) Full Text: DOI
Cervera, M.; Chiumenti, M.; Codina, R. Mixed stabilized finite element methods in nonlinear solid mechanics. I: Formulation. (English) Zbl 1231.74404 Comput. Methods Appl. Mech. Eng. 199, No. 37-40, 2559-2570 (2010). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{M. Cervera} et al., Comput. Methods Appl. Mech. Eng. 199, No. 37--40, 2559--2570 (2010; Zbl 1231.74404) Full Text: DOI
Badia, Santiago; Codina, Ramon Stabilized continuous and discontinuous Galerkin techniques for Darcy flow. (English) Zbl 1231.76134 Comput. Methods Appl. Mech. Eng. 199, No. 25-28, 1654-1667 (2010). MSC: 76M10 76S05 65N12 PDFBibTeX XMLCite \textit{S. Badia} and \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 199, No. 25--28, 1654--1667 (2010; Zbl 1231.76134) Full Text: DOI Link
Codina, Ramon; Principe, Javier; Ávila, Matías Finite element approximation of turbulent thermally coupled incompressible flows with numerical sub-grid scale modelling. (English) Zbl 1231.76140 Int. J. Numer. Methods Heat Fluid Flow 20, No. 5, 492-516 (2010). MSC: 76M10 80M10 76F99 80A20 PDFBibTeX XMLCite \textit{R. Codina} et al., Int. J. Numer. Methods Heat Fluid Flow 20, No. 5, 492--516 (2010; Zbl 1231.76140) Full Text: DOI
Principe, Javier; Codina, Ramon On the stabilization parameter in the subgrid scale approximation of scalar convection-diffusion-reaction equations on distorted meshes. (English) Zbl 1227.76039 Comput. Methods Appl. Mech. Eng. 199, No. 21-22, 1386-1402 (2010). MSC: 76M10 76R99 76V05 PDFBibTeX XMLCite \textit{J. Principe} and \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 199, No. 21--22, 1386--1402 (2010; Zbl 1227.76039) Full Text: DOI
Knobloch, Petr; Lube, Gert Local projection stabilization for advection-diffusion-reaction problems: one-level vs. two-level approach. (English) Zbl 1180.65139 Appl. Numer. Math. 59, No. 12, 2891-2907 (2009). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N12 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{P. Knobloch} and \textit{G. Lube}, Appl. Numer. Math. 59, No. 12, 2891--2907 (2009; Zbl 1180.65139) Full Text: DOI
Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Lewandowski, Roger Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations. (English) Zbl 1169.76031 Math. Models Methods Appl. Sci. 19, No. 7, 1139-1183 (2009). MSC: 76M10 76D05 76F60 65N15 65N30 PDFBibTeX XMLCite \textit{C. Bernardi} et al., Math. Models Methods Appl. Sci. 19, No. 7, 1139--1183 (2009; Zbl 1169.76031) Full Text: DOI
Badia, Santiago; Codina, Ramon On a multiscale approach to the transient Stokes problem: dynamic subscales and anisotropic space-time discretization. (English) Zbl 1163.76026 Appl. Math. Comput. 207, No. 2, 415-433 (2009). MSC: 76M10 76D05 65M12 65M60 PDFBibTeX XMLCite \textit{S. Badia} and \textit{R. Codina}, Appl. Math. Comput. 207, No. 2, 415--433 (2009; Zbl 1163.76026) Full Text: DOI
Codina, Ramon Finite element approximation of the hyperbolic wave equation in mixed form. (English) Zbl 1162.65388 Comput. Methods Appl. Mech. Eng. 197, No. 13-16, 1305-1322 (2008). MSC: 65M60 65M12 35L05 PDFBibTeX XMLCite \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 197, No. 13--16, 1305--1322 (2008; Zbl 1162.65388) Full Text: DOI Link
Codina, Ramon; Soto, Orlando Approximation of the incompressible Navier-Stokes equations using orthogonal subscale stabilization and pressure segregation on anisotropic finite element meshes. (English) Zbl 1079.76579 Comput. Methods Appl. Mech. Eng. 193, No. 15-16, 1403-1419 (2004). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{R. Codina} and \textit{O. Soto}, Comput. Methods Appl. Mech. Eng. 193, No. 15--16, 1403--1419 (2004; Zbl 1079.76579) Full Text: DOI
Codina, Ramon Stabilized finite element approximation of transient incompressible flows using orthogonal subscales. (English) Zbl 1015.76045 Comput. Methods Appl. Mech. Eng. 191, No. 39-40, 4295-4321 (2002). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 191, No. 39--40, 4295--4321 (2002; Zbl 1015.76045) Full Text: DOI