Zhao, Lina Analysis of a mixed DG method for stress-velocity formulation of the Stokes equations. (English) Zbl 07568015 J. Sci. Comput. 92, No. 2, Paper No. 44, 22 p. (2022). MSC: 65Nxx 76Mxx 76Dxx PDF BibTeX XML Cite \textit{L. Zhao}, J. Sci. Comput. 92, No. 2, Paper No. 44, 22 p. (2022; Zbl 07568015) Full Text: DOI OpenURL
Kraus, Johannes; Lederer, Philip L.; Lymbery, Maria; Schöberl, Joachim Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot’s consolidation model. (English) Zbl 07415276 Comput. Methods Appl. Mech. Eng. 384, Article ID 113991, 23 p. (2021). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{J. Kraus} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113991, 23 p. (2021; Zbl 07415276) Full Text: DOI arXiv OpenURL
Jia, Jiwei; Lee, Young-Ju; Feng, Yue; Wang, Zichan; Zhao, Zhongshu Hybridized weak Galerkin finite element methods for Brinkman equations. (English) Zbl 1476.65304 Electron Res. Arch. 29, No. 3, 2489-2516 (2021). MSC: 65N30 65N15 65N12 35J50 76D07 76S05 35Q35 PDF BibTeX XML Cite \textit{J. Jia} et al., Electron Res. Arch. 29, No. 3, 2489--2516 (2021; Zbl 1476.65304) Full Text: DOI OpenURL
Carvalho, Pablo G. S.; Devloo, Philippe R. B.; Gomes, Sônia M. On the use of divergence balanced \(\mathbf{H}(\operatorname{div})\)-\(L^2\) pair of approximation spaces for divergence-free and robust simulations of Stokes, coupled Stokes-Darcy and Brinkman problems. (English) Zbl 07317978 Math. Comput. Simul. 170, 51-78 (2020). MSC: 35Jxx 65Nxx PDF BibTeX XML Cite \textit{P. G. S. Carvalho} et al., Math. Comput. Simul. 170, 51--78 (2020; Zbl 07317978) Full Text: DOI OpenURL
Fu, Guosheng Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces. (English) Zbl 1442.76066 Comput. Methods Appl. Mech. Eng. 367, Article ID 113158, 17 p. (2020). MSC: 76M10 76D05 65N30 PDF BibTeX XML Cite \textit{G. Fu}, Comput. Methods Appl. Mech. Eng. 367, Article ID 113158, 17 p. (2020; Zbl 1442.76066) Full Text: DOI arXiv OpenURL
Mu, Lin A uniformly robust \(H(\operatorname{div})\) weak Galerkin finite element method for Brinkman problems. (A uniformly robust \(H(\operatorname{div})\) weak Galerkin finite element methods for Brinkman problems.) (English) Zbl 1434.65271 SIAM J. Numer. Anal. 58, No. 3, 1422-1439 (2020). MSC: 65N30 65N15 35B45 35J50 35J35 PDF BibTeX XML Cite \textit{L. Mu}, SIAM J. Numer. Anal. 58, No. 3, 1422--1439 (2020; Zbl 1434.65271) Full Text: DOI OpenURL
Zhao, Lina; Chung, Eric; Lam, Ming Fai A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits. (English) Zbl 1442.76076 Comput. Methods Appl. Mech. Eng. 364, Article ID 112986, 18 p. (2020). MSC: 76M10 65N30 35Q35 76D07 76S05 PDF BibTeX XML Cite \textit{L. Zhao} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112986, 18 p. (2020; Zbl 1442.76076) Full Text: DOI arXiv OpenURL
Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry. (English) Zbl 1439.35368 SIAM J. Numer. Anal. 58, No. 1, 706-732 (2020). MSC: 35Q30 65N12 65N22 65N30 76D07 76M10 PDF BibTeX XML Cite \textit{J. Gopalakrishnan} et al., SIAM J. Numer. Anal. 58, No. 1, 706--732 (2020; Zbl 1439.35368) Full Text: DOI arXiv OpenURL
Barrios, Tomás P.; Bustinza, Rommel; García, Galina C.; González, María An a posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem. (English) Zbl 1415.76446 J. Comput. Appl. Math. 357, 349-365 (2019). MSC: 76M10 65N15 65N30 65N50 76D07 PDF BibTeX XML Cite \textit{T. P. Barrios} et al., J. Comput. Appl. Math. 357, 349--365 (2019; Zbl 1415.76446) Full Text: DOI OpenURL
Zhou, Xinchen; Meng, Zhaoliang; Fan, Xin; Luo, Zhongxuan Nonconforming polynomial mixed finite element for the Brinkman problem over quadrilateral meshes. (English) Zbl 1428.65098 Comput. Math. Appl. 76, No. 4, 877-892 (2018). MSC: 65N30 35Q35 76S05 76M10 58A12 PDF BibTeX XML Cite \textit{X. Zhou} et al., Comput. Math. Appl. 76, No. 4, 877--892 (2018; Zbl 1428.65098) Full Text: DOI OpenURL
Gatica, Luis F.; Sequeira, Filánder A. A priori and a posteriori error analyses of an HDG method for the Brinkman problem. (English) Zbl 1409.65093 Comput. Math. Appl. 75, No. 4, 1191-1212 (2018). MSC: 65N30 65N15 35J57 PDF BibTeX XML Cite \textit{L. F. Gatica} and \textit{F. A. Sequeira}, Comput. Math. Appl. 75, No. 4, 1191--1212 (2018; Zbl 1409.65093) Full Text: DOI OpenURL
Lederer, Philip L.; Lehrenfeld, Christoph; Schöberl, Joachim Hybrid discontinuous Galerkin methods with relaxed \(H(\operatorname{div})\)-conformity for incompressible flows. I. (English) Zbl 1402.35209 SIAM J. Numer. Anal. 56, No. 4, 2070-2094 (2018). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 65N12 65N22 65N30 76D07 PDF BibTeX XML Cite \textit{P. L. Lederer} et al., SIAM J. Numer. Anal. 56, No. 4, 2070--2094 (2018; Zbl 1402.35209) Full Text: DOI arXiv OpenURL
Díez, Pedro; Zlotnik, Sergio; Huerta, Antonio Generalized parametric solutions in Stokes flow. (English) Zbl 1439.76062 Comput. Methods Appl. Mech. Eng. 326, 223-240 (2017). MSC: 76M10 65N22 76D07 PDF BibTeX XML Cite \textit{P. Díez} et al., Comput. Methods Appl. Mech. Eng. 326, 223--240 (2017; Zbl 1439.76062) Full Text: DOI arXiv OpenURL
Chen, Shao-chun; Dong, Li-na; Zhao, Ji-kun Uniformly convergent cubic nonconforming element for Darcy-Stokes problem. (English) Zbl 1397.76063 J. Sci. Comput. 72, No. 1, 231-251 (2017). MSC: 76M10 65N30 65N12 65N15 65N22 76D07 76S05 PDF BibTeX XML Cite \textit{S.-c. Chen} et al., J. Sci. Comput. 72, No. 1, 231--251 (2017; Zbl 1397.76063) Full Text: DOI OpenURL
Cáceres, Ernesto; Gatica, Gabriel N.; Sequeira, Filánder A. A mixed virtual element method for the Brinkman problem. (English) Zbl 1432.65167 Math. Models Methods Appl. Sci. 27, No. 4, 707-743 (2017). MSC: 65N30 65N12 65N15 76M10 76S05 PDF BibTeX XML Cite \textit{E. Cáceres} et al., Math. Models Methods Appl. Sci. 27, No. 4, 707--743 (2017; Zbl 1432.65167) Full Text: DOI OpenURL
Lehrenfeld, Christoph; Schöberl, Joachim High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows. (English) Zbl 1439.76081 Comput. Methods Appl. Mech. Eng. 307, 339-361 (2016). MSC: 76M10 65M60 76D05 PDF BibTeX XML Cite \textit{C. Lehrenfeld} and \textit{J. Schöberl}, Comput. Methods Appl. Mech. Eng. 307, 339--361 (2016; Zbl 1439.76081) Full Text: DOI arXiv OpenURL
Howell, Jason S.; Neilan, Michael; Walkington, Noel J. A dual – mixed finite element method for the Brinkman problem. (English) Zbl 1416.76112 SMAI J. Comput. Math. 2, 1-17 (2016). MSC: 76M10 65N30 65N12 65N15 76S05 PDF BibTeX XML Cite \textit{J. S. Howell} et al., SMAI J. Comput. Math. 2, 1--17 (2016; Zbl 1416.76112) Full Text: DOI OpenURL
Anaya, Verónica; Mora, David; Reales, Carlos; Ruiz-Baier, Ricardo Stabilized mixed approximation of axisymmetric Brinkman flows. (English) Zbl 1329.76158 ESAIM, Math. Model. Numer. Anal. 49, No. 3, 855-874 (2015). MSC: 76M10 65N30 76S05 65N12 76D07 65N15 65J20 PDF BibTeX XML Cite \textit{V. Anaya} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 3, 855--874 (2015; Zbl 1329.76158) Full Text: DOI OpenURL
Chen, Shaochun; Dong, Lina; Qiao, Zhonghua Uniformly convergent \(H(\mathrm{div})\)-conforming rectangular elements for Darcy-Stokes problem. (English) Zbl 1305.76054 Sci. China, Math. 56, No. 12, 2723-2736 (2013). MSC: 76M10 65N30 65N12 76D07 76S05 PDF BibTeX XML Cite \textit{S. Chen} et al., Sci. China, Math. 56, No. 12, 2723--2736 (2013; Zbl 1305.76054) Full Text: DOI OpenURL
Gittelson, Claude J.; Könnö, Juho; Schwab, Christoph; Stenberg, Rolf The multi-level Monte Carlo finite element method for a stochastic Brinkman problem. (English) Zbl 1281.65010 Numer. Math. 125, No. 2, 347-386 (2013). Reviewer: Abass Sagna (Evry) MSC: 65C30 65C05 60H15 35R60 60H35 35J60 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{C. J. Gittelson} et al., Numer. Math. 125, No. 2, 347--386 (2013; Zbl 1281.65010) Full Text: DOI Link OpenURL