Han, Jiayu; Zhang, Zhimin An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem. (English) Zbl 07782832 BIT 63, No. 4, Paper No. 56, 29 p. (2023). MSC: 65N25 65N30 65N12 65N15 65N50 35B45 35Q60 PDFBibTeX XMLCite \textit{J. Han} and \textit{Z. Zhang}, BIT 63, No. 4, Paper No. 56, 29 p. (2023; Zbl 07782832) Full Text: DOI arXiv
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela Error analysis of Nitsche’s and discontinuous Galerkin methods of a reduced Landau-de Gennes problem. (English) Zbl 1473.65312 Comput. Methods Appl. Math. 21, No. 1, 179-209 (2021). MSC: 65N30 35J65 65N15 PDFBibTeX XMLCite \textit{R. R. Maity} et al., Comput. Methods Appl. Math. 21, No. 1, 179--209 (2021; Zbl 1473.65312) Full Text: DOI arXiv
Arumugam, Gurusamy; Tyagi, Jagmohan Keller-Segel chemotaxis models: a review. (English) Zbl 1464.35001 Acta Appl. Math. 171, Paper No. 6, 82 p. (2021). MSC: 35-02 35A35 35D30 35B40 35B44 35K51 35K59 65N30 65M08 65M06 PDFBibTeX XMLCite \textit{G. Arumugam} and \textit{J. Tyagi}, Acta Appl. Math. 171, Paper No. 6, 82 p. (2021; Zbl 1464.35001) Full Text: DOI
Bonizzoni, Francesca; Braukhoff, Marcel; Jüngel, Ansgar; Perugia, Ilaria A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation. (English) Zbl 1452.65225 Numer. Math. 146, No. 1, 119-157 (2020). MSC: 65M60 65M06 65M12 35K20 35K57 35B09 35D35 92D25 35Q92 PDFBibTeX XMLCite \textit{F. Bonizzoni} et al., Numer. Math. 146, No. 1, 119--157 (2020; Zbl 1452.65225) Full Text: DOI arXiv
Zaghdani, Abdelhamid; Ezzat, Mohamed A new mixed discontinuous Galerkin method for the electrostatic field. (English) Zbl 1487.65186 Adv. Difference Equ. 2019, Paper No. 487, 13 p. (2019). MSC: 65N30 65N12 78M10 78A30 PDFBibTeX XMLCite \textit{A. Zaghdani} and \textit{M. Ezzat}, Adv. Difference Equ. 2019, Paper No. 487, 13 p. (2019; Zbl 1487.65186) Full Text: DOI
Bird, Robert E.; Coombs, William M.; Giani, Stefano A posteriori discontinuous Galerkin error estimator for linear elasticity. (English) Zbl 1428.74201 Appl. Math. Comput. 344-345, 78-96 (2019). MSC: 74S05 65N30 35J57 35Q74 65N15 65N50 74B05 PDFBibTeX XMLCite \textit{R. E. Bird} et al., Appl. Math. Comput. 344--345, 78--96 (2019; Zbl 1428.74201) Full Text: DOI
Chaumont-Frelet, T.; Nicaise, S. High-frequency behaviour of corner singularities in Helmholtz problems. (English) Zbl 1414.35053 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1803-1845 (2018). MSC: 35J05 65N30 PDFBibTeX XMLCite \textit{T. Chaumont-Frelet} and \textit{S. Nicaise}, ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1803--1845 (2018; Zbl 1414.35053) Full Text: DOI Link
Kim, Dojin Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation. (English) Zbl 1448.65133 Adv. Difference Equ. 2018, Paper No. 464, 20 p. (2018). MSC: 65M15 65M60 PDFBibTeX XMLCite \textit{D. Kim}, Adv. Difference Equ. 2018, Paper No. 464, 20 p. (2018; Zbl 1448.65133) Full Text: DOI
Giani, Stefano \(HP\)-adaptive celatus enriched discontinuous Galerkin method for second-order elliptic source problems. (English) Zbl 1402.65157 SIAM J. Sci. Comput. 40, No. 5, B1391-B1418 (2018). MSC: 65N30 65N50 49M15 35J15 PDFBibTeX XMLCite \textit{S. Giani}, SIAM J. Sci. Comput. 40, No. 5, B1391--B1418 (2018; Zbl 1402.65157) Full Text: DOI
Homsi, Lina; Noels, Ludovic A discontinuous Galerkin method for non-linear electro-thermo-mechanical problems: application to shape memory composite materials. (English) Zbl 1388.74125 Meccanica 53, No. 6, 1357-1401 (2018). MSC: 74S30 65M60 74F15 74F10 74M05 PDFBibTeX XMLCite \textit{L. Homsi} and \textit{L. Noels}, Meccanica 53, No. 6, 1357--1401 (2018; Zbl 1388.74125) Full Text: DOI Link
Giani, Stefano Reliable anisotropic-adaptive discontinuous Galerkin method for simplified \(\mathbf{P}_{\mathbf{N}}\) approximations of radiative transfer. (English) Zbl 1448.65230 J. Comput. Appl. Math. 337, 225-243 (2018). MSC: 65N30 65N15 65N50 80A21 PDFBibTeX XMLCite \textit{S. Giani}, J. Comput. Appl. Math. 337, 225--243 (2018; Zbl 1448.65230) Full Text: DOI
Guo, Yujie; Ruess, Martin; Schillinger, Dominik A parameter-free variational coupling approach for trimmed isogeometric thin shells. (English) Zbl 1398.74333 Comput. Mech. 59, No. 4, 693-715 (2017). MSC: 74S05 65N30 65D17 76M10 65N15 PDFBibTeX XMLCite \textit{Y. Guo} et al., Comput. Mech. 59, No. 4, 693--715 (2017; Zbl 1398.74333) Full Text: DOI Link
Schillinger, Dominik; Harari, Isaac; Hsu, Ming-Chen; Kamensky, David; Stoter, Stein K. F.; Yu, Yue; Zhao, Ying The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements. (English) Zbl 1439.65192 Comput. Methods Appl. Mech. Eng. 309, 625-652 (2016). MSC: 65N30 PDFBibTeX XMLCite \textit{D. Schillinger} et al., Comput. Methods Appl. Mech. Eng. 309, 625--652 (2016; Zbl 1439.65192) Full Text: DOI
Sandilya, Ruchi; Kumar, Sarvesh Convergence analysis of discontinuous finite volume methods for elliptic optimal control problems. (English) Zbl 1359.49008 Int. J. Comput. Methods 13, No. 2, Article ID 1640012, 20 p. (2016). MSC: 49M25 65N08 65N12 PDFBibTeX XMLCite \textit{R. Sandilya} and \textit{S. Kumar}, Int. J. Comput. Methods 13, No. 2, Article ID 1640012, 20 p. (2016; Zbl 1359.49008) Full Text: DOI
Ladevèze, Pierre; Riou, Hervé On Trefftz and weak Trefftz discontinuous Galerkin approaches for medium-frequency acoustics. (English) Zbl 1423.74899 Comput. Methods Appl. Mech. Eng. 278, 729-743 (2014). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{P. Ladevèze} and \textit{H. Riou}, Comput. Methods Appl. Mech. Eng. 278, 729--743 (2014; Zbl 1423.74899) Full Text: DOI HAL
Hartmann, R.; Lukáčová-Medvid’ová, M.; Prill, F. Efficient preconditioning for the discontinuous Galerkin finite element method by low-order elements. (English) Zbl 1171.65078 Appl. Numer. Math. 59, No. 8, 1737-1753 (2009). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N30 35J05 35J25 65F10 65F35 PDFBibTeX XMLCite \textit{R. Hartmann} et al., Appl. Numer. Math. 59, No. 8, 1737--1753 (2009; Zbl 1171.65078) Full Text: DOI
Sobotíková, Veronika Numerical integration in the DGFEM for 3D nonlinear convection-diffusion problems on nonconforming meshes. (English) Zbl 1156.65086 Numer. Funct. Anal. Optim. 29, No. 7-8, 927-958 (2008). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M60 65M15 35K57 PDFBibTeX XMLCite \textit{V. Sobotíková}, Numer. Funct. Anal. Optim. 29, No. 7--8, 927--958 (2008; Zbl 1156.65086) Full Text: DOI
Süli, Endre; Mozolevski, Igor \(hp\)-version interior penalty DGFEMs for the biharmonic equation. (English) Zbl 1173.65360 Comput. Methods Appl. Mech. Eng. 196, No. 13-16, 1851-1863 (2007). MSC: 65N30 31A30 PDFBibTeX XMLCite \textit{E. Süli} and \textit{I. Mozolevski}, Comput. Methods Appl. Mech. Eng. 196, No. 13--16, 1851--1863 (2007; Zbl 1173.65360) Full Text: DOI
Dolejší, V.; Feistauer, M.; Hozman, J. Analysis of semi-implicit DGFEM for nonlinear convection-diffusion problems on nonconforming meshes. (English) Zbl 1121.76033 Comput. Methods Appl. Mech. Eng. 196, No. 29-30, 2813-2827 (2007). MSC: 76M10 76R99 65M15 PDFBibTeX XMLCite \textit{V. Dolejší} et al., Comput. Methods Appl. Mech. Eng. 196, No. 29--30, 2813--2827 (2007; Zbl 1121.76033) Full Text: DOI
Vemaganti, Kumar Discontinuous Galerkin methods for periodic boundary value problems. (English) Zbl 1114.65144 Numer. Methods Partial Differ. Equations 23, No. 3, 587-596 (2007). MSC: 65N30 65N15 35J25 74Q05 74S05 PDFBibTeX XMLCite \textit{K. Vemaganti}, Numer. Methods Partial Differ. Equations 23, No. 3, 587--596 (2007; Zbl 1114.65144) Full Text: DOI
Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R. Isogeometric analysis of structural vibrations. (English) Zbl 1119.74024 Comput. Methods Appl. Mech. Eng. 195, No. 41-43, 5257-5296 (2006). MSC: 74H45 74S05 PDFBibTeX XMLCite \textit{J. A. Cottrell} et al., Comput. Methods Appl. Mech. Eng. 195, No. 41--43, 5257--5296 (2006; Zbl 1119.74024) Full Text: DOI HAL
Romkes, Albert; Prudhomme, Serge; Oden, J. Tinsley Convergence analysis of a discontinuous finite element formulation based on second-order derivatives. (English) Zbl 1125.65097 Comput. Methods Appl. Mech. Eng. 195, No. 25-28, 3461-3482 (2006). Reviewer: Dietrich Braess (Bochum) MSC: 65N12 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{A. Romkes} et al., Comput. Methods Appl. Mech. Eng. 195, No. 25--28, 3461--3482 (2006; Zbl 1125.65097) Full Text: DOI
Lee, Min A; Shin, Jun Yong Error estimates for a discontinuous Galerkin method for elliptic problems. (English) Zbl 1104.65106 J. Appl. Math. Comput. 21, No. 1-2, 189-201 (2006). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{M. A Lee} and \textit{J. Y. Shin}, J. Appl. Math. Comput. 21, No. 1--2, 189--201 (2006; Zbl 1104.65106) Full Text: DOI
Zarin, Helena; Roos, Hans-Görg Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers. (English) Zbl 1100.65105 Numer. Math. 100, No. 4, 735-759 (2005). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N12 65N15 35J25 35B25 PDFBibTeX XMLCite \textit{H. Zarin} and \textit{H.-G. Roos}, Numer. Math. 100, No. 4, 735--759 (2005; Zbl 1100.65105) Full Text: DOI
Zaghdani, Abdelhamid; Daveau, Christian Two new discrete inequalities of Poincaré-Friedrichs on discontinuous spaces for Maxwell’s equations. (English) Zbl 1089.35075 C. R., Math., Acad. Sci. Paris 342, No. 1, 29-32 (2005). MSC: 35Q60 26D15 78M10 PDFBibTeX XMLCite \textit{A. Zaghdani} and \textit{C. Daveau}, C. R., Math., Acad. Sci. Paris 342, No. 1, 29--32 (2005; Zbl 1089.35075) Full Text: DOI
Romkes, A.; Prudhomme, S.; Oden, J. T. A priori error analyses of a stabilized discontinuous Galerkin method. (English) Zbl 1058.65122 Comput. Math. Appl. 46, No. 8-9, 1289-1311 (2003). Reviewer: I. N. Katz (St. Louis) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{A. Romkes} et al., Comput. Math. Appl. 46, No. 8--9, 1289--1311 (2003; Zbl 1058.65122) Full Text: DOI
Perugia, Ilaria; Schötzau, Dominik The \(hp\)-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. (English) Zbl 1084.78007 Math. Comput. 72, No. 243, 1179-1214 (2003). Reviewer: Christian Daveau (Cergy-Pontoise) MSC: 78M10 78A25 35Q60 65N30 PDFBibTeX XMLCite \textit{I. Perugia} and \textit{D. Schötzau}, Math. Comput. 72, No. 243, 1179--1214 (2003; Zbl 1084.78007) Full Text: DOI
Perugia, I.; Schötzau, D.; Monk, P. Stabilized interior penalty methods for the time-harmonic Maxwell equations. (English) Zbl 1040.78011 Comput. Methods Appl. Mech. Eng. 191, No. 41-42, 4675-4697 (2002). MSC: 78M10 65N30 PDFBibTeX XMLCite \textit{I. Perugia} et al., Comput. Methods Appl. Mech. Eng. 191, No. 41--42, 4675--4697 (2002; Zbl 1040.78011) Full Text: DOI
Engel, G.; Garikipati, K.; Hughes, T. J. R.; Larson, M. G.; Mazzei, L.; Taylor, R. L. Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. (English) Zbl 1086.74038 Comput. Methods Appl. Mech. Eng. 191, No. 34, 3669-3750 (2002). MSC: 74S05 74K10 74K20 74B99 PDFBibTeX XMLCite \textit{G. Engel} et al., Comput. Methods Appl. Mech. Eng. 191, No. 34, 3669--3750 (2002; Zbl 1086.74038) Full Text: DOI