Alsheikh, Dina N.; Katsaounis, Theodoros A posteriori error estimators for discontinuous Galerkin method for diffusion problems, based on the hypercircle method. (English) Zbl 1501.35153 Arab. J. Math. 11, No. 3, 407-426 (2022). MSC: 35J25 65N30 PDF BibTeX XML Cite \textit{D. N. Alsheikh} and \textit{T. Katsaounis}, Arab. J. Math. 11, No. 3, 407--426 (2022; Zbl 1501.35153) Full Text: DOI OpenURL
Ding, Qianqian; Mao, Shipeng; Sun, Jiaao Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system. (English) Zbl 1498.76052 Adv. Comput. Math. 48, No. 5, Paper No. 55, 23 p. (2022). MSC: 76M10 76W05 65M15 65M12 PDF BibTeX XML Cite \textit{Q. Ding} et al., Adv. Comput. Math. 48, No. 5, Paper No. 55, 23 p. (2022; Zbl 1498.76052) Full Text: DOI OpenURL
Aretaki, Aikaterini; Karatzas, Efthymios N.; Katsouleas, Georgios Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems. (English) Zbl 1497.65217 J. Sci. Comput. 91, No. 2, Paper No. 48, 35 p. (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N85 76D07 76M10 PDF BibTeX XML Cite \textit{A. Aretaki} et al., J. Sci. Comput. 91, No. 2, Paper No. 48, 35 p. (2022; Zbl 1497.65217) Full Text: DOI arXiv OpenURL
Antonietti, Paola F.; Mascotto, Lorenzo; Verani, Marco; Zonca, Stefano Stability analysis of polytopic discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems. (English) Zbl 1478.65079 J. Sci. Comput. 90, No. 1, Paper No. 23, 31 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 74F10 65D07 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., J. Sci. Comput. 90, No. 1, Paper No. 23, 31 p. (2022; Zbl 1478.65079) Full Text: DOI arXiv OpenURL
Ye, Xiu; Zhang, Shangyou A numerical scheme with divergence free \(H\)-\(\operatorname{div}\) triangular finite element for the Stokes equations. (English) Zbl 1476.65312 Appl. Numer. Math. 167, 211-217 (2021). MSC: 65N30 65F35 76D07 PDF BibTeX XML Cite \textit{X. Ye} and \textit{S. Zhang}, Appl. Numer. Math. 167, 211--217 (2021; Zbl 1476.65312) Full Text: DOI OpenURL
Ye, Xiu; Zhang, Shangyou A stabilizer-free pressure-robust finite element method for the Stokes equations. (English) Zbl 1473.65323 Adv. Comput. Math. 47, No. 2, Paper No. 28, 17 p. (2021). MSC: 65N30 65N15 76D07 76M10 35Q35 PDF BibTeX XML Cite \textit{X. Ye} and \textit{S. Zhang}, Adv. Comput. Math. 47, No. 2, Paper No. 28, 17 p. (2021; Zbl 1473.65323) Full Text: DOI arXiv OpenURL
Chernov, A.; Marcati, C.; Mascotto, L. \(p\)- and \(hp\)-virtual elements for the Stokes problem. (English) Zbl 1475.65187 Adv. Comput. Math. 47, No. 2, Paper No. 24, 31 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N12 65N15 76D07 PDF BibTeX XML Cite \textit{A. Chernov} et al., Adv. Comput. Math. 47, No. 2, Paper No. 24, 31 p. (2021; Zbl 1475.65187) Full Text: DOI arXiv 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
Oyarzúa, Ricardo; Serón, Miguel A divergence-conforming DG-mixed finite element method for the stationary Boussinesq problem. (English) Zbl 1450.65149 J. Sci. Comput. 85, No. 1, Paper No. 14, 35 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N15 35Q79 35K05 76R05 76D07 80A19 PDF BibTeX XML Cite \textit{R. Oyarzúa} and \textit{M. Serón}, J. Sci. Comput. 85, No. 1, Paper No. 14, 35 p. (2020; Zbl 1450.65149) Full Text: DOI OpenURL
Hong, Qingguo; Kraus, Johannes; Lymbery, Maria; Wheeler, Mary F. Parameter-robust convergence analysis of fixed-stress split iterative method for multiple-permeability poroelasticity systems. (English) Zbl 1447.65077 Multiscale Model. Simul. 18, No. 2, 916-941 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M12 65F10 65N22 74F10 74B20 76S05 PDF BibTeX XML Cite \textit{Q. Hong} et al., Multiscale Model. Simul. 18, No. 2, 916--941 (2020; Zbl 1447.65077) Full Text: DOI arXiv OpenURL
Gedicke, Joscha; Khan, Arbaz Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems. (English) Zbl 1455.65204 Numer. Math. 144, No. 3, 585-614 (2020). Reviewer: Wei Gong (Beijing) MSC: 65N30 65N15 65N25 PDF BibTeX XML Cite \textit{J. Gedicke} and \textit{A. Khan}, Numer. Math. 144, No. 3, 585--614 (2020; Zbl 1455.65204) Full Text: DOI arXiv OpenURL
Wihler, Thomas P.; Wirz, Marcel Stability and convergence of spectral mixed discontinuous Galerkin methods for 3D linear elasticity on anisotropic geometric meshes. (English) Zbl 1434.65282 J. Sci. Comput. 82, No. 2, Paper No. 49, 24 p. (2020). MSC: 65N30 65N35 65N12 74B05 74S05 PDF BibTeX XML Cite \textit{T. P. Wihler} and \textit{M. Wirz}, J. Sci. Comput. 82, No. 2, Paper No. 49, 24 p. (2020; Zbl 1434.65282) Full Text: DOI arXiv OpenURL
Khan, Arbaz; Kanschat, Guido A robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation. (English) Zbl 1434.76070 SIAM J. Numer. Anal. 58, No. 1, 492-518 (2020). MSC: 76M10 65M70 65M60 76D07 65M15 PDF BibTeX XML Cite \textit{A. Khan} and \textit{G. Kanschat}, SIAM J. Numer. Anal. 58, No. 1, 492--518 (2020; Zbl 1434.76070) Full Text: DOI OpenURL
Botti, L.; Colombo, A.; Crivellini, A.; Franciolini, M. {h-p-hp}-multilevel discontinuous Galerkin solution strategies for elliptic operators. (English) Zbl 07474500 Int. J. Comput. Fluid Dyn. 33, No. 9, 362-370 (2019). MSC: 76-XX 35-XX PDF BibTeX XML Cite \textit{L. Botti} et al., Int. J. Comput. Fluid Dyn. 33, No. 9, 362--370 (2019; Zbl 07474500) Full Text: DOI OpenURL
Barrenechea, Gabriel R.; Bosy, Michał; Dolean, Victorita; Nataf, Frédéric; Tournier, Pierre-Henri Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem. (English) Zbl 1430.76361 Comput. Methods Appl. Math. 19, No. 4, 703-722 (2019). MSC: 76M10 65N30 76D05 65F10 65N22 65N55 PDF BibTeX XML Cite \textit{G. R. Barrenechea} et al., Comput. Methods Appl. Math. 19, No. 4, 703--722 (2019; Zbl 1430.76361) Full Text: DOI arXiv Link OpenURL
Li, Ruo; Sun, Zhiyuan; Yang, Fanyi; Yang, Zhijian A finite element method by patch reconstruction for the Stokes problem using mixed formulations. (English) Zbl 1427.65371 J. Comput. Appl. Math. 353, 1-20 (2019). Reviewer: Sarah Eberle (Frankfurt am Main) MSC: 65N30 76M10 35Q35 65N12 65N50 76D07 PDF BibTeX XML Cite \textit{R. Li} et al., J. Comput. Appl. Math. 353, 1--20 (2019; Zbl 1427.65371) Full Text: DOI arXiv OpenURL
Igreja, Iury; Loula, Abimael F. D. A stabilized hybrid mixed DGFEM naturally coupling Stokes-Darcy flows. (English) Zbl 1440.76070 Comput. Methods Appl. Mech. Eng. 339, 739-768 (2018). MSC: 76M10 65N30 65N12 76D07 76S05 PDF BibTeX XML Cite \textit{I. Igreja} and \textit{A. F. D. Loula}, Comput. Methods Appl. Mech. Eng. 339, 739--768 (2018; Zbl 1440.76070) Full Text: DOI OpenURL
Kanschat, Guido; Riviere, Beatrice A finite element method with strong mass conservation for Biot’s linear consolidation model. (English) Zbl 1407.65192 J. Sci. Comput. 77, No. 3, 1762-1779 (2018). MSC: 65M60 65M12 65M15 35Q74 35Q35 74F10 74S05 PDF BibTeX XML Cite \textit{G. Kanschat} and \textit{B. Riviere}, J. Sci. Comput. 77, No. 3, 1762--1779 (2018; Zbl 1407.65192) Full Text: DOI arXiv OpenURL
Hong, Qingguo; Kraus, Johannes Parameter-robust stability of classical three-field formulation of Biot’s consolidation model. (English) Zbl 1398.65046 ETNA, Electron. Trans. Numer. Anal. 48, 202-226 (2018). MSC: 65F10 65N20 65N30 PDF BibTeX XML Cite \textit{Q. Hong} and \textit{J. Kraus}, ETNA, Electron. Trans. Numer. Anal. 48, 202--226 (2018; Zbl 1398.65046) Full Text: DOI arXiv Link OpenURL
Jing, Feifei; Han, Weimin; Yan, Wenjing; Wang, Fei Discontinuous Galerkin methods for a stationary Navier-Stokes problem with a nonlinear slip boundary condition of friction type. (English) Zbl 1397.65272 J. Sci. Comput. 76, No. 2, 888-912 (2018). MSC: 65N30 76D05 65N15 35A23 65N12 35Q30 PDF BibTeX XML Cite \textit{F. Jing} et al., J. Sci. Comput. 76, No. 2, 888--912 (2018; Zbl 1397.65272) Full Text: DOI OpenURL
Schötzau, Dominik; Schwab, Christoph Exponential convergence of \(hp\)-FEM for elliptic problems in polyhedra: mixed boundary conditions and anisotropic polynomial degrees. (English) Zbl 1402.65166 Found. Comput. Math. 18, No. 3, 595-660 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 35J25 PDF BibTeX XML Cite \textit{D. Schötzau} and \textit{C. Schwab}, Found. Comput. Math. 18, No. 3, 595--660 (2018; Zbl 1402.65166) Full Text: DOI OpenURL
Houston, Paul; Wihler, Thomas P. An \(hp\)-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. (English) Zbl 1410.65449 Math. Comput. 87, No. 314, 2641-2674 (2018). Reviewer: Konstantinos Chrysafinos (Athens) MSC: 65N30 35J61 35J25 65H10 PDF BibTeX XML Cite \textit{P. Houston} and \textit{T. P. Wihler}, Math. Comput. 87, No. 314, 2641--2674 (2018; Zbl 1410.65449) Full Text: DOI arXiv OpenURL
Cheung, Siu Wun; Chung, Eric; Kim, Hyea Hyun A mass conservative scheme for fluid-structure interaction problems by the staggered discontinuous Galerkin method. (English) Zbl 1402.65152 J. Sci. Comput. 74, No. 3, 1423-1456 (2018). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 76D05 74F10 35Q35 35Q74 65M06 65N12 65N50 PDF BibTeX XML Cite \textit{S. W. Cheung} et al., J. Sci. Comput. 74, No. 3, 1423--1456 (2018; Zbl 1402.65152) Full Text: DOI arXiv OpenURL
Krank, Benjamin; Fehn, Niklas; Wall, Wolfgang A.; Kronbichler, Martin A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow. (English) Zbl 1380.76040 J. Comput. Phys. 348, 634-659 (2017). MSC: 76M10 65M60 76D05 76F65 PDF BibTeX XML Cite \textit{B. Krank} et al., J. Comput. Phys. 348, 634--659 (2017; Zbl 1380.76040) Full Text: DOI arXiv OpenURL
Botti, L.; Colombo, A.; Bassi, F. \(h\)-multigrid agglomeration based solution strategies for discontinuous Galerkin discretizations of incompressible flow problems. (English) Zbl 1380.65251 J. Comput. Phys. 347, 382-415 (2017). MSC: 65M60 65M55 76M10 76D05 65M12 PDF BibTeX XML Cite \textit{L. Botti} et al., J. Comput. Phys. 347, 382--415 (2017; Zbl 1380.65251) Full Text: DOI arXiv OpenURL
Rhebergen, Sander; Wells, Garth N. Analysis of a hybridized/interface stabilized finite element method for the Stokes equations. (English) Zbl 1426.76299 SIAM J. Numer. Anal. 55, No. 4, 1982-2003 (2017). MSC: 76M10 76D07 PDF BibTeX XML Cite \textit{S. Rhebergen} and \textit{G. N. Wells}, SIAM J. Numer. Anal. 55, No. 4, 1982--2003 (2017; Zbl 1426.76299) Full Text: DOI arXiv OpenURL
Chung, Eric T.; Du, Jie; Yuen, Man Chun An adaptive SDG method for the Stokes system. (English) Zbl 1401.76085 J. Sci. Comput. 70, No. 2, 766-792 (2017). MSC: 76M10 65N30 65N15 65N50 76D07 76S05 PDF BibTeX XML Cite \textit{E. T. Chung} et al., J. Sci. Comput. 70, No. 2, 766--792 (2017; Zbl 1401.76085) 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
Hong, Qingguo; Kraus, Johannes Uniformly stable discontinuous Galerkin discretization and robust iterative solution methods for the Brinkman problem. (English) Zbl 1346.76068 SIAM J. Numer. Anal. 54, No. 5, 2750-2774 (2016). MSC: 76M10 76S05 65F10 65N20 65N30 PDF BibTeX XML Cite \textit{Q. Hong} and \textit{J. Kraus}, SIAM J. Numer. Anal. 54, No. 5, 2750--2774 (2016; Zbl 1346.76068) Full Text: DOI OpenURL
Bi, Chunjia; Wang, Cheng; Lin, Yanping Pointwise error estimates and two-grid algorithms of discontinuous Galerkin method for strongly nonlinear elliptic problems. (English) Zbl 1341.65043 J. Sci. Comput. 67, No. 1, 153-175 (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N15 65N30 65N50 35J60 65N55 PDF BibTeX XML Cite \textit{C. Bi} et al., J. Sci. Comput. 67, No. 1, 153--175 (2016; Zbl 1341.65043) Full Text: DOI OpenURL
Dedner, Andreas; Madhavan, Pravin Adaptive discontinuous Galerkin methods on surfaces. (English) Zbl 1336.65189 Numer. Math. 132, No. 2, 369-398 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35J25 58J05 65N15 PDF BibTeX XML Cite \textit{A. Dedner} and \textit{P. Madhavan}, Numer. Math. 132, No. 2, 369--398 (2016; Zbl 1336.65189) Full Text: DOI arXiv OpenURL
Hong, Qingguo; Kraus, Johannes; Xu, Jinchao; Zikatanov, Ludmil A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. (English) Zbl 1338.76054 Numer. Math. 132, No. 1, 23-49 (2016). MSC: 76M10 74S05 65N30 65N55 74B05 76D07 PDF BibTeX XML Cite \textit{Q. Hong} et al., Numer. Math. 132, No. 1, 23--49 (2016; Zbl 1338.76054) Full Text: DOI OpenURL
Bi, Chunjia; Wang, Cheng; Lin, Yanping A posteriori error estimates of \(h p\)-discontinuous Galerkin method for strongly nonlinear elliptic problems. (English) Zbl 1425.65147 Comput. Methods Appl. Mech. Eng. 297, 140-166 (2015). MSC: 65N30 65N15 35J25 35J62 PDF BibTeX XML Cite \textit{C. Bi} et al., Comput. Methods Appl. Mech. Eng. 297, 140--166 (2015; Zbl 1425.65147) Full Text: DOI OpenURL
Adjerid, Slimane; Chaabane, Nabil; Lin, Tao An immersed discontinuous finite element method for Stokes interface problems. (English) Zbl 1423.76200 Comput. Methods Appl. Mech. Eng. 293, 170-190 (2015). MSC: 76M10 65N30 76D07 PDF BibTeX XML Cite \textit{S. Adjerid} et al., Comput. Methods Appl. Mech. Eng. 293, 170--190 (2015; Zbl 1423.76200) Full Text: DOI OpenURL
Cheung, Siu Wun; Chung, Eric; Kim, Hyea Hyun; Qian, Yue Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations. (English) Zbl 1349.76189 J. Comput. Phys. 302, 251-266 (2015). MSC: 76M10 65N30 76D05 PDF BibTeX XML Cite \textit{S. W. Cheung} et al., J. Comput. Phys. 302, 251--266 (2015; Zbl 1349.76189) Full Text: DOI OpenURL
Gatica, Gabriel N.; Sequeira, Filánder A. Analysis of an augmented HDG method for a class of quasi-Newtonian Stokes flows. (English) Zbl 1330.76067 J. Sci. Comput. 65, No. 3, 1270-1308 (2015). MSC: 76M10 65N30 76D07 PDF BibTeX XML Cite \textit{G. N. Gatica} and \textit{F. A. Sequeira}, J. Sci. Comput. 65, No. 3, 1270--1308 (2015; Zbl 1330.76067) Full Text: DOI Link OpenURL
Congreve, Scott; Houston, Paul Two-grid \(hp\)-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. (English) Zbl 1499.65651 Int. J. Numer. Anal. Model. 11, No. 3, 496-524 (2014). MSC: 65N30 65N55 65N50 65H10 65N15 35J62 76A10 76M10 35Q35 PDF BibTeX XML Cite \textit{S. Congreve} and \textit{P. Houston}, Int. J. Numer. Anal. Model. 11, No. 3, 496--524 (2014; Zbl 1499.65651) Full Text: Link OpenURL
Barker, Andrew T.; Brenner, Susanne C. A mixed finite element method for the Stokes equations based on a weakly over-penalized symmetric interior penalty approach. (English) Zbl 1306.65276 J. Sci. Comput. 58, No. 2, 290-307 (2014). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 35J25 35Q30 76D07 76M10 65Y05 65N50 PDF BibTeX XML Cite \textit{A. T. Barker} and \textit{S. C. Brenner}, J. Sci. Comput. 58, No. 2, 290--307 (2014; Zbl 1306.65276) Full Text: DOI OpenURL
Riviere, Beatrice; Sardar, Shirin Penalty-free discontinuous Galerkin methods for incompressible Navier-Stokes equations. (English) Zbl 1361.76007 Math. Models Methods Appl. Sci. 24, No. 6, 1217-1236 (2014). MSC: 76D05 76M10 65N30 35D30 65N12 PDF BibTeX XML Cite \textit{B. Riviere} and \textit{S. Sardar}, Math. Models Methods Appl. Sci. 24, No. 6, 1217--1236 (2014; Zbl 1361.76007) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{R. Codina} and \textit{S. Badia}, Comput. Methods Appl. Mech. Eng. 263, 158--168 (2013; Zbl 1286.65157) Full Text: DOI Link OpenURL
Bi, Chunjia; Ginting, Victor A posteriori error estimates of discontinuous Galerkin method for nonmonotone quasi-linear elliptic problems. (English) Zbl 1269.65111 J. Sci. Comput. 55, No. 3, 659-687 (2013). Reviewer: Abdallah Bradji (Annaba) MSC: 65N15 65N30 35J62 PDF BibTeX XML Cite \textit{C. Bi} and \textit{V. Ginting}, J. Sci. Comput. 55, No. 3, 659--687 (2013; Zbl 1269.65111) Full Text: DOI OpenURL
Guo, Benqi; Yi, Lijun Local Chebyshev projection-interpolation operator and application to the \(h-p\) version of the finite element method in three dimensions. (English) Zbl 1263.65112 Math. Models Methods Appl. Sci. 23, No. 5, 777-801 (2013). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N15 35J25 PDF BibTeX XML Cite \textit{B. Guo} and \textit{L. Yi}, Math. Models Methods Appl. Sci. 23, No. 5, 777--801 (2013; Zbl 1263.65112) Full Text: DOI OpenURL
Feistauer, Miloslav; Sändig, Anna-Margarete Graded mesh refinement and error estimates of higher order for DGFE solutions of elliptic boundary value problems in polygons. (English) Zbl 1253.65193 Numer. Methods Partial Differ. Equations 28, No. 4, 1124-1151 (2012). Reviewer: Nina Shokina (Freiburg) MSC: 65N50 65N30 65N15 35J25 PDF BibTeX XML Cite \textit{M. Feistauer} and \textit{A.-M. Sändig}, Numer. Methods Partial Differ. Equations 28, No. 4, 1124--1151 (2012; Zbl 1253.65193) Full Text: DOI OpenURL
Wihler, Thomas P.; Wirz, Marcel Mixed \(hp\)-discontinuous Galerkin FEM for linear elasticity and Stokes flow in three dimensions. (English) Zbl 1246.76061 Math. Models Methods Appl. Sci. 22, No. 8, 1250016, 31 p. (2012). MSC: 76M10 65N12 65N30 PDF BibTeX XML Cite \textit{T. P. Wihler} and \textit{M. Wirz}, Math. Models Methods Appl. Sci. 22, No. 8, 1250016, 31 p. (2012; Zbl 1246.76061) Full Text: DOI OpenURL
Chernov, Alexey Optimal convergence estimates for the trace of the polynomial \(L^{2}\)-projection operator on a simplex. (English) Zbl 1242.41007 Math. Comput. 81, No. 278, 765-787 (2012). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A10 65N35 41A25 65N15 PDF BibTeX XML Cite \textit{A. Chernov}, Math. Comput. 81, No. 278, 765--787 (2012; Zbl 1242.41007) Full Text: DOI OpenURL
Cliffe, K. Andrew; Hall, Edward J. C.; Houston, Paul; Phipps, Eric T.; Salinger, Andrew G. Adaptivity and a posteriori error control for bifurcation problems. II: Incompressible fluid flow in open systems with \(Z_{2}\) symmetry. (English) Zbl 1311.76052 J. Sci. Comput. 47, No. 3, 389-418 (2011). MSC: 76M10 65N30 65N15 76D05 PDF BibTeX XML Cite \textit{K. A. Cliffe} et al., J. Sci. Comput. 47, No. 3, 389--418 (2011; Zbl 1311.76052) Full Text: DOI OpenURL
Feistauer, Miloslav; Kučera, Václav; Najzar, Karel; Prokopová, Jaroslava Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems. (English) Zbl 1211.65125 Numer. Math. 117, No. 2, 251-288 (2011). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 65M15 35K61 PDF BibTeX XML Cite \textit{M. Feistauer} et al., Numer. Math. 117, No. 2, 251--288 (2011; Zbl 1211.65125) Full Text: DOI OpenURL
Greif, Chen; Li, Dan; Schötzau, Dominik; Wei, Xiaoxi A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics. (English) Zbl 1231.76146 Comput. Methods Appl. Mech. Eng. 199, No. 45-48, 2840-2855 (2010). MSC: 76M10 76W05 PDF BibTeX XML Cite \textit{C. Greif} et al., Comput. Methods Appl. Mech. Eng. 199, No. 45--48, 2840--2855 (2010; Zbl 1231.76146) Full Text: DOI OpenURL
Stamm, Benjamin; Wihler, Thomas P. \(hp\)-optimal discontinuous Galerkin methods for linear elliptic problems. (English) Zbl 1202.65151 Math. Comput. 79, No. 272, 2117-2133 (2010). Reviewer: Erwin Schechter (Moers) MSC: 65N15 65N30 65N12 35J05 PDF BibTeX XML Cite \textit{B. Stamm} and \textit{T. P. Wihler}, Math. Comput. 79, No. 272, 2117--2133 (2010; Zbl 1202.65151) Full Text: DOI OpenURL
Kučera, Václav Optimal \(L^{\infty}(L^{2})\)-error estimates for the DG method applied to nonlinear convection-diffusion problems with nonlinear diffusion. (English) Zbl 1195.65118 Numer. Funct. Anal. Optim. 31, No. 3, 285-312 (2010). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M15 65M12 35K61 65M20 PDF BibTeX XML Cite \textit{V. Kučera}, Numer. Funct. Anal. Optim. 31, No. 3, 285--312 (2010; Zbl 1195.65118) Full Text: DOI OpenURL
Houston, Paul; Schötzau, Dominik; Wei, Xiaoxi A mixed DG method for linearized incompressible magnetohydrodynamics. (English) Zbl 1203.76083 J. Sci. Comput. 40, No. 1-3, 281-314 (2009). MSC: 76M10 65N30 76W05 65N15 PDF BibTeX XML Cite \textit{P. Houston} et al., J. Sci. Comput. 40, No. 1--3, 281--314 (2009; Zbl 1203.76083) Full Text: DOI OpenURL
Çeşmelioğlu, Ayçıl; Rivière, Béatrice Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. (English) Zbl 1203.76078 J. Sci. Comput. 40, No. 1-3, 115-140 (2009). MSC: 76M10 76D05 65M60 PDF BibTeX XML Cite \textit{A. Çeşmelioğlu} and \textit{B. Rivière}, J. Sci. Comput. 40, No. 1--3, 115--140 (2009; Zbl 1203.76078) Full Text: DOI OpenURL
Carstensen, Carsten; Gudi, Thirupathi; Jensen, Max A unifying theory of a posteriori error control for discontinuous Galerkin FEM. (English) Zbl 1169.65106 Numer. Math. 112, No. 3, 363-379 (2009). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N15 65N30 35J25 35J05 35Q30 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Numer. Math. 112, No. 3, 363--379 (2009; Zbl 1169.65106) Full Text: DOI OpenURL
Guzmán, J. Local and pointwise error estimates of the local discontinuous Galerkin method applied to the Stokes problem. (English) Zbl 1285.76017 Math. Comput. 77, No. 263, 1293-1322 (2008). MSC: 76M10 76D07 65N30 65N15 PDF BibTeX XML Cite \textit{J. Guzmán}, Math. Comput. 77, No. 263, 1293--1322 (2008; Zbl 1285.76017) Full Text: DOI OpenURL
van der Vegt, J. J. W.; Sudirham, J. J. A space-time discontinuous Galerkin method for the time-dependent Oseen equations. (English) Zbl 1148.76035 Appl. Numer. Math. 58, No. 12, 1892-1917 (2008). MSC: 76M10 76D07 PDF BibTeX XML Cite \textit{J. J. W. van der Vegt} and \textit{J. J. Sudirham}, Appl. Numer. Math. 58, No. 12, 1892--1917 (2008; Zbl 1148.76035) Full Text: DOI OpenURL
Kanschat, Guido; Schötzau, Dominik Energy norm a posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier-Stokes equations. (English) Zbl 1140.76020 Int. J. Numer. Methods Fluids 57, No. 9, 1093-1113 (2008). MSC: 76M10 76D05 65N15 65N30 PDF BibTeX XML Cite \textit{G. Kanschat} and \textit{D. Schötzau}, Int. J. Numer. Methods Fluids 57, No. 9, 1093--1113 (2008; Zbl 1140.76020) Full Text: DOI OpenURL
Cui, Mingrong Analysis of a semidiscrete discontinuous Galerkin scheme for compressible miscible displacement problem. (English) Zbl 1144.76030 J. Comput. Appl. Math. 214, No. 2, 617-636 (2008). MSC: 76M10 65M15 65M60 76S05 PDF BibTeX XML Cite \textit{M. Cui}, J. Comput. Appl. Math. 214, No. 2, 617--636 (2008; Zbl 1144.76030) Full Text: DOI OpenURL
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. (English) Zbl 1151.76527 J. Sci. Comput. 31, No. 1-2, 61-73 (2007). MSC: 76M10 76D05 65N30 PDF BibTeX XML Cite \textit{B. Cockburn} et al., J. Sci. Comput. 31, No. 1--2, 61--73 (2007; Zbl 1151.76527) Full Text: DOI OpenURL
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. (English) Zbl 1116.65115 Math. Models Methods Appl. Sci. 17, No. 1, 33-62 (2007). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N15 65N30 35J25 65N50 PDF BibTeX XML Cite \textit{P. Houston} et al., Math. Models Methods Appl. Sci. 17, No. 1, 33--62 (2007; Zbl 1116.65115) Full Text: DOI OpenURL
Shahbazi, Khosro; Fischer, Paul F.; Ethier, C. Ross A high-order discontinuous Galerkin method for the unsteady incompressible Navier-Stokes equations. (English) Zbl 1216.76034 J. Comput. Phys. 222, No. 1, 391-407 (2007). MSC: 76M10 65M60 76D05 PDF BibTeX XML Cite \textit{K. Shahbazi} et al., J. Comput. Phys. 222, No. 1, 391--407 (2007; Zbl 1216.76034) Full Text: DOI OpenURL
Cui, Mingrong A combined mixed and discontinuous Galerkin method for compressible miscible displacement problem in porous media. (English) Zbl 1101.76033 J. Comput. Appl. Math. 198, No. 1, 19-34 (2007). MSC: 76M10 76S05 76N15 65M60 65M15 PDF BibTeX XML Cite \textit{M. Cui}, J. Comput. Appl. Math. 198, No. 1, 19--34 (2007; Zbl 1101.76033) Full Text: DOI OpenURL
Rivière, Béatrice; Girault, Vivette Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces. (English) Zbl 1121.76038 Comput. Methods Appl. Mech. Eng. 195, No. 25-28, 3274-3292 (2006). MSC: 76M10 76D05 PDF BibTeX XML Cite \textit{B. Rivière} and \textit{V. Girault}, Comput. Methods Appl. Mech. Eng. 195, No. 25--28, 3274--3292 (2006; Zbl 1121.76038) Full Text: DOI OpenURL
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. (English) Zbl 1118.74049 Comput. Methods Appl. Mech. Eng. 195, No. 25-28, 3224-3246 (2006). MSC: 74S05 74B05 65N15 65N30 PDF BibTeX XML Cite \textit{P. Houston} et al., Comput. Methods Appl. Mech. Eng. 195, No. 25--28, 3224--3246 (2006; Zbl 1118.74049) Full Text: DOI OpenURL
Gwynllyw, D. Rh.; Phillips, T. N. On the enforcement of the zero mean pressure condition in the spectral element approximation of the Stokes problem. (English) Zbl 1176.76090 Comput. Methods Appl. Mech. Eng. 195, No. 9-12, 1027-1049 (2006). MSC: 76M22 76D07 PDF BibTeX XML Cite \textit{D. Rh. Gwynllyw} and \textit{T. N. Phillips}, Comput. Methods Appl. Mech. Eng. 195, No. 9--12, 1027--1049 (2006; Zbl 1176.76090) Full Text: DOI OpenURL
Sudirham, J. J.; van der Vegt, J. J. W.; van Damme, R. M. J. Space-time discontinuous Galerkin method for advection-diffusion problems on time-dependent domains. (English) Zbl 1111.65089 Appl. Numer. Math. 56, No. 12, 1491-1518 (2006). Reviewer: Ziwen Jiang (Shandong) MSC: 65M60 65M12 35K15 65M15 PDF BibTeX XML Cite \textit{J. J. Sudirham} et al., Appl. Numer. Math. 56, No. 12, 1491--1518 (2006; Zbl 1111.65089) Full Text: DOI OpenURL
Bustinza, Rommel A unified analysis of the local discontinuous Galerkin method for a class of nonlinear problems. (English) Zbl 1102.65111 Appl. Numer. Math. 56, No. 10-11, 1293-1306 (2006). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 65N12 65N15 35J65 PDF BibTeX XML Cite \textit{R. Bustinza}, Appl. Numer. Math. 56, No. 10--11, 1293--1306 (2006; Zbl 1102.65111) Full Text: DOI Link OpenURL
Wihler, Thomas P. Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems. (English) Zbl 1088.74047 Math. Comput. 75, No. 255, 1087-1102 (2006). MSC: 74S05 74B05 65N30 65N15 PDF BibTeX XML Cite \textit{T. P. Wihler}, Math. Comput. 75, No. 255, 1087--1102 (2006; Zbl 1088.74047) Full Text: DOI OpenURL
Xin, Jianguo; Flaherty, Joseph E. Viscous stabilization of discontinuous Galerkin solutions of hyperbolic conservation laws. (English) Zbl 1089.65101 Appl. Numer. Math. 56, No. 3-4, 444-458 (2006). MSC: 65M60 35L65 35L67 PDF BibTeX XML Cite \textit{J. Xin} and \textit{J. E. Flaherty}, Appl. Numer. Math. 56, No. 3--4, 444--458 (2006; Zbl 1089.65101) Full Text: DOI OpenURL
Carrero, Jesús; Cockburn, Bernardo; Schötzau, Dominik Hybridized globally divergence-free LDG methods. I: The Stokes problem. (English) Zbl 1087.76061 Math. Comput. 75, No. 254, 533-563 (2006). MSC: 76M10 76D07 65N15 65N30 PDF BibTeX XML Cite \textit{J. Carrero} et al., Math. Comput. 75, No. 254, 533--563 (2006; Zbl 1087.76061) Full Text: DOI OpenURL
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik The local discontinuous Galerkin method for linearized incompressible fluid flow: a review. (English) Zbl 1138.76382 Comput. Fluids 34, No. 4-5, 491-506 (2005). MSC: 76M10 65N30 PDF BibTeX XML Cite \textit{B. Cockburn} et al., Comput. Fluids 34, No. 4--5, 491--506 (2005; Zbl 1138.76382) Full Text: DOI OpenURL
Bustinza, Rommel; Gatica, Gabriel N. A mixed local discontinuous Galerkin method for a class of nonlinear problems in fluid mechanics. (English) Zbl 1213.76118 J. Comput. Phys. 207, No. 2, 427-456 (2005). MSC: 76M10 65N30 76D07 PDF BibTeX XML Cite \textit{R. Bustinza} and \textit{G. N. Gatica}, J. Comput. Phys. 207, No. 2, 427--456 (2005; Zbl 1213.76118) Full Text: DOI OpenURL
Shahbazi, Khosro An explicit expression for the penalty parameter of the interior penalty method. (English) Zbl 1072.65149 J. Comput. Phys. 205, No. 2, 401-407 (2005). MSC: 65N30 35J05 PDF BibTeX XML Cite \textit{K. Shahbazi}, J. Comput. Phys. 205, No. 2, 401--407 (2005; Zbl 1072.65149) Full Text: DOI OpenURL
Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem. (English) Zbl 1065.76139 J. Sci. Comput. 22-23, 347-370 (2005). MSC: 76M10 76D07 65N15 65N30 PDF BibTeX XML Cite \textit{P. Houston} et al., J. Sci. Comput. 22--23, 347--370 (2005; Zbl 1065.76139) Full Text: DOI OpenURL
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik A locally conservative LDG method for the incompressible Navier-Stokes equations. (English) Zbl 1069.76029 Math. Comput. 74, No. 251, 1067-1095 (2005). MSC: 76M10 76D05 65N15 65N30 PDF BibTeX XML Cite \textit{B. Cockburn} et al., Math. Comput. 74, No. 251, 1067--1095 (2005; Zbl 1069.76029) Full Text: DOI OpenURL