Balu, Aditya; Rajanna, Manoj R.; Khristy, Joel; Xu, Fei; Krishnamurthy, Adarsh; Hsu, Ming-Chen Direct immersogeometric fluid flow and heat transfer analysis of objects represented by point clouds. (English) Zbl 07644832 Comput. Methods Appl. Mech. Eng. 404, Article ID 115742, 34 p. (2023). MSC: 76-XX 68-XX PDF BibTeX XML Cite \textit{A. Balu} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115742, 34 p. (2023; Zbl 07644832) Full Text: DOI arXiv OpenURL
Mei, Liangcai; Wu, Boying; Lin, Yingzhen Shifted-Legendre orthonormal method for delay heat conduction equation. (English) Zbl 07523636 Appl. Math. Lett. 130, Article ID 107996, 7 p. (2022). MSC: 65-XX 80-XX PDF BibTeX XML Cite \textit{L. Mei} et al., Appl. Math. Lett. 130, Article ID 107996, 7 p. (2022; Zbl 07523636) Full Text: DOI OpenURL
He, Xiaoxiao; Deng, Weibing An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems. (English) Zbl 1483.65187 Appl. Numer. Math. 173, 434-452 (2022). MSC: 65N30 65N15 65N12 35J25 76M10 PDF BibTeX XML Cite \textit{X. He} and \textit{W. Deng}, Appl. Numer. Math. 173, 434--452 (2022; Zbl 1483.65187) Full Text: DOI OpenURL
Hackemack, Michael W. Discontinuous Galerkin solutions for elliptic problems on polygonal grids using arbitrary-order Bernstein-Bézier functions. (English) Zbl 07505901 J. Comput. Phys. 437, Article ID 110293, 28 p. (2021). MSC: 65Nxx 35Jxx 65-XX PDF BibTeX XML Cite \textit{M. W. Hackemack}, J. Comput. Phys. 437, Article ID 110293, 28 p. (2021; Zbl 07505901) Full Text: DOI OpenURL
Luo, Li; Cai, Xiao-Chuan; Keyes, David E. Nonlinear preconditioning strategies for two-phase flows in porous media discretized by a fully implicit discontinuous Galerkin method. (English) Zbl 1490.65203 SIAM J. Sci. Comput. 43, No. 5, S317-S344 (2021). MSC: 65M60 65M22 65Y05 76S05 76T06 PDF BibTeX XML Cite \textit{L. Luo} et al., SIAM J. Sci. Comput. 43, No. 5, S317--S344 (2021; Zbl 1490.65203) Full Text: DOI OpenURL
Yang, Jiming; Su, Yifan A two-grid combined mixed finite element and discontinuous Galerkin method for an incompressible miscible displacement problem in porous media. (English) Zbl 1491.65104 J. Sci. Comput. 88, No. 3, Paper No. 81, 24 p. (2021). MSC: 65M60 65M55 65M12 65M15 76S05 35Q35 PDF BibTeX XML Cite \textit{J. Yang} and \textit{Y. Su}, J. Sci. Comput. 88, No. 3, Paper No. 81, 24 p. (2021; Zbl 1491.65104) Full Text: DOI OpenURL
Luo, Li; Cai, Xiao-Chuan; Keyes, David E. Nonlinear preconditioning strategies for two-phase flows in porous media discretized by a fully implicit discontinuous Galerkin method. (English) Zbl 1469.76063 SIAM J. Sci. Comput. 43, No. 3, S317-S344 (2021). Reviewer: J. Manimaran (Ponda) MSC: 76M10 76S05 76T30 65Y05 PDF BibTeX XML Cite \textit{L. Luo} et al., SIAM J. Sci. Comput. 43, No. 3, S317--S344 (2021; Zbl 1469.76063) Full Text: DOI OpenURL
Liu, Hailiang Analysis of direct discontinuous Galerkin methods for multi-dimensional convection-diffusion equations. (English) Zbl 1465.65100 Numer. Math. 147, No. 4, 839-867 (2021). Reviewer: J. Manimaran (Ponda) MSC: 65M60 65N30 35K15 35J15 65M15 76R50 PDF BibTeX XML Cite \textit{H. Liu}, Numer. Math. 147, No. 4, 839--867 (2021; Zbl 1465.65100) Full Text: DOI OpenURL
Febrianto, Eky; Ortiz, Michael; Cirak, Fehmi Mollified finite element approximants of arbitrary order and smoothness. (English) Zbl 07337794 Comput. Methods Appl. Mech. Eng. 373, Article ID 113513, 22 p. (2021). MSC: 65-XX 41-XX PDF BibTeX XML Cite \textit{E. Febrianto} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113513, 22 p. (2021; Zbl 07337794) Full Text: DOI arXiv Link OpenURL
La Spina, Andrea; Giacomini, Matteo; Huerta, Antonio Hybrid coupling of CG and HDG discretizations based on Nitsche’s method. (English) Zbl 1490.74107 Comput. Mech. 65, No. 2, 311-330 (2020). MSC: 74S05 74F05 74B05 PDF BibTeX XML Cite \textit{A. La Spina} et al., Comput. Mech. 65, No. 2, 311--330 (2020; Zbl 1490.74107) Full Text: DOI arXiv OpenURL
Raeisi Isa-Abadi, Ali; Fontaine, Vincent; Ghafouri, Hamid-Reza; Younes, Anis; Fahs, Marwan A fully interior penalty discontinuous Galerkin method for variable density groundwater flow problems. (English) Zbl 07426179 Comput. Fluids 213, Article ID 104744, 16 p. (2020). MSC: 76-XX PDF BibTeX XML Cite \textit{A. Raeisi Isa-Abadi} et al., Comput. Fluids 213, Article ID 104744, 16 p. (2020; Zbl 07426179) Full Text: DOI OpenURL
Grieshaber, Beverley J.; McBride, Andrew T.; Reddy, B. Daya Convergence in the incompressible limit of new discontinuous Galerkin methods with general quadrilateral and hexahedral elements. (English) Zbl 07337109 Comput. Methods Appl. Mech. Eng. 370, Article ID 113233, 34 p. (2020). MSC: 74-XX 65-XX PDF BibTeX XML Cite \textit{B. J. Grieshaber} et al., Comput. Methods Appl. Mech. Eng. 370, Article ID 113233, 34 p. (2020; Zbl 07337109) Full Text: DOI arXiv OpenURL
Aboelenen, Tarek Discontinuous Galerkin methods for fractional elliptic problems. (English) Zbl 1463.65359 Comput. Appl. Math. 39, No. 2, Paper No. 88, 23 p. (2020). MSC: 65N30 35R11 65N12 65N15 PDF BibTeX XML Cite \textit{T. Aboelenen}, Comput. Appl. Math. 39, No. 2, Paper No. 88, 23 p. (2020; Zbl 1463.65359) Full Text: DOI arXiv OpenURL
Frank, Florian; Rupp, Andreas; Kuzmin, Dmitri Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn-Hilliard equation. (English) Zbl 1441.76059 Comput. Methods Appl. Mech. Eng. 359, Article ID 112665, 25 p. (2020). MSC: 76M10 65M60 PDF BibTeX XML Cite \textit{F. Frank} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112665, 25 p. (2020; Zbl 1441.76059) Full Text: DOI OpenURL
Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. (English) Zbl 1436.65125 Adv. Comput. Math. 46, No. 2, Paper No. 25, 35 p. (2020). MSC: 65M08 65M60 65M50 65M12 76D05 76D45 76T06 76M12 35Q35 PDF BibTeX XML Cite \textit{R. Li} et al., Adv. Comput. Math. 46, No. 2, Paper No. 25, 35 p. (2020; Zbl 1436.65125) Full Text: DOI OpenURL
Lewis, Thomas; Rapp, Aaron; Zhang, Yi Convergence analysis of symmetric dual-wind discontinuous Galerkin approximation methods for the obstacle problem. (English) Zbl 1433.65305 J. Math. Anal. Appl. 485, No. 2, Article ID 123840, 22 p. (2020). MSC: 65N30 65K10 35J86 46E35 PDF BibTeX XML Cite \textit{T. Lewis} et al., J. Math. Anal. Appl. 485, No. 2, Article ID 123840, 22 p. (2020; Zbl 1433.65305) Full Text: DOI OpenURL
Bastian, Peter; Müller, Eike Hermann; Müthing, Steffen; Piatkowski, Marian Matrix-free multigrid block-preconditioners for higher order discontinuous Galerkin discretisations. (English) Zbl 1452.65322 J. Comput. Phys. 394, 417-439 (2019). MSC: 65N30 65N55 35J57 PDF BibTeX XML Cite \textit{P. Bastian} et al., J. Comput. Phys. 394, 417--439 (2019; Zbl 1452.65322) Full Text: DOI arXiv OpenURL
Adams, Thomas; McLeish, Nicholas; Giani, Stefano; Coombs, William M. A parabolic level set reinitialisation method using a discontinuous Galerkin discretisation. (English) Zbl 1443.65154 Comput. Math. Appl. 78, No. 9, 2944-2960 (2019). MSC: 65M08 65M60 PDF BibTeX XML Cite \textit{T. Adams} et al., Comput. Math. Appl. 78, No. 9, 2944--2960 (2019; Zbl 1443.65154) Full Text: DOI OpenURL
Elfverson, Daniel; Larson, Mats G.; Larsson, Karl A new least squares stabilized Nitsche method for cut isogeometric analysis. (English) Zbl 1441.65099 Comput. Methods Appl. Mech. Eng. 349, 1-16 (2019). MSC: 65N30 65D07 PDF BibTeX XML Cite \textit{D. Elfverson} et al., Comput. Methods Appl. Mech. Eng. 349, 1--16 (2019; Zbl 1441.65099) Full Text: DOI arXiv OpenURL
Lozinski, Alexei CutFEM without cutting the mesh cells: a new way to impose Dirichlet and Neumann boundary conditions on unfitted meshes. (English) Zbl 1441.65108 Comput. Methods Appl. Mech. Eng. 356, 75-100 (2019). MSC: 65N30 65N12 PDF BibTeX XML Cite \textit{A. Lozinski}, Comput. Methods Appl. Mech. Eng. 356, 75--100 (2019; Zbl 1441.65108) Full Text: DOI arXiv OpenURL
Kim, Mi-Young; Shin, Dong-wook A high order discontinuous Galerkin method with skeletal multipliers for convection-diffusion-reaction problems. (English) Zbl 1440.65215 Comput. Methods Appl. Mech. Eng. 343, 207-233 (2019). MSC: 65N30 PDF BibTeX XML Cite \textit{M.-Y. Kim} and \textit{D.-w. Shin}, Comput. Methods Appl. Mech. Eng. 343, 207--233 (2019; Zbl 1440.65215) Full Text: DOI OpenURL
Xu, Fei; Bazilevs, Yuri; Hsu, Ming-Chen Immersogeometric analysis of compressible flows with application to aerodynamic simulation of rotorcraft. (English) Zbl 1425.35140 Math. Models Methods Appl. Sci. 29, No. 5, 905-938 (2019). MSC: 35Q30 65M60 76N10 76M10 PDF BibTeX XML Cite \textit{F. Xu} et al., Math. Models Methods Appl. Sci. 29, No. 5, 905--938 (2019; Zbl 1425.35140) Full Text: DOI OpenURL
Xu, Mingtian A high order scheme for unsteady heat conduction equations. (English) Zbl 1429.80012 Appl. Math. Comput. 348, 565-574 (2019). MSC: 80M12 80M20 65M08 80A19 65M06 PDF BibTeX XML Cite \textit{M. Xu}, Appl. Math. Comput. 348, 565--574 (2019; Zbl 1429.80012) Full Text: DOI OpenURL
Ambartsumyan, Ilona; Khattatov, Eldar; Nguyen, Truong; Yotov, Ivan Flow and transport in fractured poroelastic media. (English) Zbl 1419.76602 GEM. Int. J. Geomath. 10, No. 1, Paper No. 11, 34 p. (2019). MSC: 76S05 76D07 74F10 65M60 65M12 PDF BibTeX XML Cite \textit{I. Ambartsumyan} et al., GEM. Int. J. Geomath. 10, Paper No. 11, 34 p. (2019; Zbl 1419.76602) Full Text: DOI OpenURL
Zhou, Y. C.; Gupta, Varun Interface solutions of partial differential equations with point singularity. (English) Zbl 1451.74039 J. Comput. Appl. Math. 362, 400-409 (2019). MSC: 74A45 35Q74 35B65 74B05 PDF BibTeX XML Cite \textit{Y. C. Zhou} and \textit{V. Gupta}, J. Comput. Appl. Math. 362, 400--409 (2019; Zbl 1451.74039) Full Text: DOI Link OpenURL
Eptaimeros, K. G.; Koutsoumaris, C. Chr.; Tsamasphyros, G. J. Interior penalty discontinuous Galerkin FEMs for a gradient beam and cnts. (English) Zbl 1451.74188 Appl. Numer. Math. 144, 118-139 (2019). MSC: 74M25 74K10 65N30 74S05 PDF BibTeX XML Cite \textit{K. G. Eptaimeros} et al., Appl. Numer. Math. 144, 118--139 (2019; Zbl 1451.74188) Full Text: DOI OpenURL
Ueda, Yuki; Saito, Norikazu The inf-sup condition and error estimates of the Nitsche method for evolutionary diffusion-advection-reaction equations. (English) Zbl 1410.65349 Japan J. Ind. Appl. Math. 36, No. 1, 209-238 (2019). MSC: 65M12 65M60 PDF BibTeX XML Cite \textit{Y. Ueda} and \textit{N. Saito}, Japan J. Ind. Appl. Math. 36, No. 1, 209--238 (2019; Zbl 1410.65349) Full Text: DOI arXiv OpenURL
Kim, Mi-Young; Shin, Dong-Wook A high order discontinuous Galerkin method with Lagrange multipliers for second-order elliptic problems. (English) Zbl 1404.65269 Appl. Numer. Math. 135, 47-68 (2019). MSC: 65N30 35J15 65N15 65F10 PDF BibTeX XML Cite \textit{M.-Y. Kim} and \textit{D.-W. Shin}, Appl. Numer. Math. 135, 47--68 (2019; Zbl 1404.65269) Full Text: DOI OpenURL
Zhuang, Chijie; Huang, Mengmin; Zeng, Rong Numerical simulations for the quasi-3D fluid streamer propagation model: methods and applications. (English) Zbl 1475.65139 Commun. Comput. Phys. 24, No. 4, 1259-1278 (2018). MSC: 65M60 76-10 PDF BibTeX XML Cite \textit{C. Zhuang} et al., Commun. Comput. Phys. 24, No. 4, 1259--1278 (2018; Zbl 1475.65139) Full Text: DOI OpenURL
Bouclier, Robin; Passieux, Jean-Charles A Nitsche-based non-intrusive coupling strategy for global/local isogeometric structural analysis. (English) Zbl 1440.65185 Comput. Methods Appl. Mech. Eng. 340, 253-277 (2018). MSC: 65N30 65D07 PDF BibTeX XML Cite \textit{R. Bouclier} and \textit{J.-C. Passieux}, Comput. Methods Appl. Mech. Eng. 340, 253--277 (2018; Zbl 1440.65185) Full Text: DOI HAL OpenURL
Adjerid, Slimane; Ben-Romdhane, Mohamed; Lin, Tao Higher degree immersed finite element spaces constructed according to the actual interface. (English) Zbl 1409.65087 Comput. Math. Appl. 75, No. 6, 1868-1881 (2018). MSC: 65N30 65N12 PDF BibTeX XML Cite \textit{S. Adjerid} et al., Comput. Math. Appl. 75, No. 6, 1868--1881 (2018; Zbl 1409.65087) Full Text: DOI OpenURL
Jayasinghe, Savithru; Darmofal, David L.; Burgess, Nicholas K.; Galbraith, Marshall C.; Allmaras, Steven R. A space-time adaptive method for reservoir flows: formulation and one-dimensional application. (English) Zbl 1405.86004 Comput. Geosci. 22, No. 1, 107-123 (2018). MSC: 86-08 65M06 76S05 PDF BibTeX XML Cite \textit{S. Jayasinghe} et al., Comput. Geosci. 22, No. 1, 107--123 (2018; Zbl 1405.86004) Full Text: DOI Link OpenURL
Vidotto, Ettore; Helmig, Rainer; Schneider, Martin; Wohlmuth, Barbara Streamline method for resolving sharp fronts for complex two-phase flow in porous media. (English) Zbl 1404.86010 Comput. Geosci. 22, No. 6, 1487-1502 (2018). MSC: 86-08 PDF BibTeX XML Cite \textit{E. Vidotto} et al., Comput. Geosci. 22, No. 6, 1487--1502 (2018; Zbl 1404.86010) Full Text: DOI arXiv OpenURL
Song, Lunji; Zhao, Shan Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions. (English) Zbl 1376.65130 J. Comput. Appl. Math. 330, 356-379 (2018). MSC: 65M60 35K20 35R05 65M12 65M20 65M06 65M15 PDF BibTeX XML Cite \textit{L. Song} and \textit{S. Zhao}, J. Comput. Appl. Math. 330, 356--379 (2018; Zbl 1376.65130) Full Text: DOI OpenURL
Liu, Hailiang; Wen, Hairui Error estimates for the AEDG method to one-dimensional linear convection-diffusion equations. (English) Zbl 1376.65122 Math. Comput. 87, No. 309, 123-148 (2018). MSC: 65M15 65M12 65M60 35K20 PDF BibTeX XML Cite \textit{H. Liu} and \textit{H. Wen}, Math. Comput. 87, No. 309, 123--148 (2018; Zbl 1376.65122) Full Text: DOI OpenURL
Klingenberg, Christian; Pörner, Frank; Xia, Yinhua An efficient implementation of the divergence free constraint in a discontinuous Galerkin method for magnetohydrodynamics on unstructured meshes. (English) Zbl 1488.65427 Commun. Comput. Phys. 21, No. 2, 423-442 (2017). MSC: 65M60 65M12 65M20 35L65 76W05 65L05 35Q35 PDF BibTeX XML Cite \textit{C. Klingenberg} et al., Commun. Comput. Phys. 21, No. 2, 423--442 (2017; Zbl 1488.65427) Full Text: DOI Link OpenURL
Shields, Sidney; Li, Jichun; Machorro, Eric A. Weak Galerkin methods for time-dependent Maxwell’s equations. (English) Zbl 1397.65192 Comput. Math. Appl. 74, No. 9, 2106-2124 (2017). MSC: 65M60 78M10 35Q61 65M12 65M06 65M15 PDF BibTeX XML Cite \textit{S. Shields} et al., Comput. Math. Appl. 74, No. 9, 2106--2124 (2017; Zbl 1397.65192) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{Y. Guo} et al., Comput. Mech. 59, No. 4, 693--715 (2017; Zbl 1398.74333) Full Text: DOI Link OpenURL
Huang, Hongying; Chen, Zheng; Li, Jin; Yan, Jue Direct discontinuous Galerkin method and its variations for second order elliptic equations. (English) Zbl 1366.65105 J. Sci. Comput. 70, No. 2, 744-765 (2017). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N30 35J25 PDF BibTeX XML Cite \textit{H. Huang} et al., J. Sci. Comput. 70, No. 2, 744--765 (2017; Zbl 1366.65105) Full Text: DOI Link OpenURL
Cao, Waixiang; Liu, Hailiang; Zhang, Zhimin Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations. (English) Zbl 1361.65061 Numer. Methods Partial Differ. Equations 33, No. 1, 290-317 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M12 65M60 35K20 65M15 PDF BibTeX XML Cite \textit{W. Cao} et al., Numer. Methods Partial Differ. Equations 33, No. 1, 290--317 (2017; Zbl 1361.65061) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{D. Schillinger} et al., Comput. Methods Appl. Mech. Eng. 309, 625--652 (2016; Zbl 1439.65192) Full Text: DOI OpenURL
Ji, Duofa; Lei, Weidong; Li, Hongjun Corner treatment by assigning dual tractions to every node for elastodynamics in TD-BEM. (English) Zbl 1410.74079 Appl. Math. Comput. 284, 125-135 (2016). MSC: 74S15 65M38 PDF BibTeX XML Cite \textit{D. Ji} et al., Appl. Math. Comput. 284, 125--135 (2016; Zbl 1410.74079) Full Text: DOI OpenURL
Shu, Chi-Wang Discontinuous Galerkin methods for time-dependent convection dominated problems: basics, recent developments and comparison with other methods. (English) Zbl 1357.65179 Barrenechea, Gabriel R. (ed.) et al., Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8–16, 2014. Cham: Springer (ISBN 978-3-319-41638-0/hbk; 978-3-319-41640-3/ebook). Lecture Notes in Computational Science and Engineering 114, 371-399 (2016). MSC: 65M60 35L65 35K55 35Q53 65-02 PDF BibTeX XML Cite \textit{C.-W. Shu}, Lect. Notes Comput. Sci. Eng. 114, 371--399 (2016; Zbl 1357.65179) Full Text: DOI OpenURL
Kovalevsky, Louis; Gosselet, Pierre A quasi-optimal coarse problem and an augmented Krylov solver for the variational theory of complex rays. (English) Zbl 1352.65522 Int. J. Numer. Methods Eng. 107, No. 11, 903-922 (2016). MSC: 65N30 65N22 PDF BibTeX XML Cite \textit{L. Kovalevsky} and \textit{P. Gosselet}, Int. J. Numer. Methods Eng. 107, No. 11, 903--922 (2016; Zbl 1352.65522) Full Text: DOI arXiv OpenURL
Liu, Hailiang; Pollack, Michael Alternating evolution discontinuous Galerkin methods for convection-diffusion equations. (English) Zbl 1352.65356 J. Comput. Phys. 307, 574-592 (2016). MSC: 65M60 PDF BibTeX XML Cite \textit{H. Liu} and \textit{M. Pollack}, J. Comput. Phys. 307, 574--592 (2016; Zbl 1352.65356) Full Text: DOI OpenURL
Wang, Zixuan; Tang, Qi; Guo, Wei; Cheng, Yingda Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations. (English) Zbl 1349.65636 J. Comput. Phys. 314, 244-263 (2016). MSC: 65N30 PDF BibTeX XML Cite \textit{Z. Wang} et al., J. Comput. Phys. 314, 244--263 (2016; Zbl 1349.65636) Full Text: DOI arXiv 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
Tagliabue, Anna; Dedè, Luca; Quarteroni, Alfio Nitsche’s method for parabolic partial differential equations with mixed time varying boundary conditions. (English) Zbl 1382.65327 ESAIM, Math. Model. Numer. Anal. 50, No. 2, 541-563 (2016). MSC: 65M60 65M12 35K20 PDF BibTeX XML Cite \textit{A. Tagliabue} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 2, 541--563 (2016; Zbl 1382.65327) Full Text: DOI Link OpenURL
Feng, Xiaobing; Lewis, Thomas; Neilan, Michael Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. (English) Zbl 1333.65129 J. Comput. Appl. Math. 299, 68-91 (2016). MSC: 65N30 35J25 35J60 65D25 65N06 PDF BibTeX XML Cite \textit{X. Feng} et al., J. Comput. Appl. Math. 299, 68--91 (2016; Zbl 1333.65129) Full Text: DOI arXiv OpenURL
Kim, Mi-Young A discontinuous Galerkin method with Lagrange multiplier for hyperbolic conservation laws with boundary conditions. (English) Zbl 1443.65206 Comput. Math. Appl. 70, No. 4, 488-506 (2015). MSC: 65M60 65M12 65M15 35L50 35L65 PDF BibTeX XML Cite \textit{M.-Y. Kim}, Comput. Math. Appl. 70, No. 4, 488--506 (2015; Zbl 1443.65206) 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
Dutra do Carmo, E. G.; Araújo Fernandes, M. T. C.; Mansur, Webe João Continuous/discontinuous Galerkin methods stabilized through transfer functions applied to the incompressible elasticity and to the Stokes problem. (English) Zbl 1423.74878 Comput. Methods Appl. Mech. Eng. 283, 806-840 (2015). MSC: 74S05 76M10 65N30 74B05 74G15 76D07 PDF BibTeX XML Cite \textit{E. G. Dutra do Carmo} et al., Comput. Methods Appl. Mech. Eng. 283, 806--840 (2015; Zbl 1423.74878) Full Text: DOI OpenURL
Song, Shicang; Sun, Ming; Jiang, Liying A nonconforming scheme to solve the parabolic problem. (English) Zbl 1410.65380 Appl. Math. Comput. 265, 108-119 (2015). MSC: 65M60 65M12 35K20 PDF BibTeX XML Cite \textit{S. Song} et al., Appl. Math. Comput. 265, 108--119 (2015; Zbl 1410.65380) Full Text: DOI OpenURL
Huang, Chaobao; Yu, Xijun; Wang, Cheng; Li, Zhenzhen; An, Na A numerical method based on fully discrete direct discontinuous Galerkin method for the time fractional diffusion equation. (English) Zbl 1410.65371 Appl. Math. Comput. 264, 483-492 (2015). MSC: 65M60 65M12 65M15 PDF BibTeX XML Cite \textit{C. Huang} et al., Appl. Math. Comput. 264, 483--492 (2015; Zbl 1410.65371) Full Text: DOI OpenURL
Cao, Jiwei; Ge, Zhihao A new posteriori error estimates for a discontinuous Galerkin method for a reaction-diffusion problem. (English) Zbl 1338.65242 Appl. Math. Comput. 256, 735-741 (2015). MSC: 65N30 35K57 65N15 PDF BibTeX XML Cite \textit{J. Cao} and \textit{Z. Ge}, Appl. Math. Comput. 256, 735--741 (2015; Zbl 1338.65242) Full Text: DOI OpenURL
Feng, W.; Lewis, T. L.; Wise, S. M. Discontinuous Galerkin derivative operators with applications to second-order elliptic problems and stability. (English) Zbl 1336.65190 Math. Methods Appl. Sci. 38, No. 18, 5160-5182 (2015). Reviewer: H. P. Dikshit (Bhopal) MSC: 65N30 65N12 35J25 65N15 PDF BibTeX XML Cite \textit{W. Feng} et al., Math. Methods Appl. Sci. 38, No. 18, 5160--5182 (2015; Zbl 1336.65190) Full Text: DOI OpenURL
Grieshaber, B. J.; McBride, A. T.; Reddy, B. D. Uniformly convergent interior penalty methods using multilinear approximations for problems in elasticity. (English) Zbl 1327.74133 SIAM J. Numer. Anal. 53, No. 5, 2255-2278 (2015). MSC: 74S05 65N30 65N15 74B05 PDF BibTeX XML Cite \textit{B. J. Grieshaber} et al., SIAM J. Numer. Anal. 53, No. 5, 2255--2278 (2015; Zbl 1327.74133) Full Text: DOI OpenURL
Balázsová, Monika; Feistauer, Miloslav On the stability of the ALE space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains. (English) Zbl 1363.65157 Appl. Math., Praha 60, No. 5, 501-526 (2015). MSC: 65M60 35K55 65M12 PDF BibTeX XML Cite \textit{M. Balázsová} and \textit{M. Feistauer}, Appl. Math., Praha 60, No. 5, 501--526 (2015; Zbl 1363.65157) Full Text: DOI Link OpenURL
Liu, Hailiang; Yu, Hui The entropy satisfying discontinuous Galerkin method for Fokker-Planck equations. (English) Zbl 1320.65143 J. Sci. Comput. 62, No. 3, 803-830 (2015). MSC: 65M60 35K20 76A05 82C31 82D60 35Q84 PDF BibTeX XML Cite \textit{H. Liu} and \textit{H. Yu}, J. Sci. Comput. 62, No. 3, 803--830 (2015; Zbl 1320.65143) Full Text: DOI OpenURL
Liu, Hailiang Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations. (English) Zbl 1331.65141 Math. Comput. 84, No. 295, 2263-2295 (2015). MSC: 65M60 35K15 35K59 65M15 76R50 PDF BibTeX XML Cite \textit{H. Liu}, Math. Comput. 84, No. 295, 2263--2295 (2015; Zbl 1331.65141) Full Text: DOI OpenURL
Shin, Dong-wook; Jeon, Youngmok; Park, Eun-Jae A hybrid discontinuous Galerkin method for advection-diffusion-reaction problems. (English) Zbl 1320.65181 Appl. Numer. Math. 95, 292-303 (2015). MSC: 65N30 65N12 35K57 PDF BibTeX XML Cite \textit{D.-w. Shin} et al., Appl. Numer. Math. 95, 292--303 (2015; Zbl 1320.65181) Full Text: DOI OpenURL
Lin, Tao; Lin, Yanping; Zhang, Xu Partially penalized immersed finite element methods for elliptic interface problems. (English) Zbl 1316.65104 SIAM J. Numer. Anal. 53, No. 2, 1121-1144 (2015). MSC: 65N30 35J25 35R05 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{T. Lin} et al., SIAM J. Numer. Anal. 53, No. 2, 1121--1144 (2015; Zbl 1316.65104) Full Text: DOI arXiv OpenURL
Adjerid, Slimane; Ben-Romdhane, M.; Lin, Tao Higher degree immersed finite element methods for second-order elliptic interface problems. (English) Zbl 1499.65639 Int. J. Numer. Anal. Model. 11, No. 3, 541-566 (2014). MSC: 65N30 65N15 65N50 35R05 35J15 65N12 PDF BibTeX XML Cite \textit{S. Adjerid} et al., Int. J. Numer. Anal. Model. 11, No. 3, 541--566 (2014; Zbl 1499.65639) Full Text: Link OpenURL
Michoski, C. E.; Evans, J. A.; Schmitz, P. G. Discontinuous Galerkin \(h p\)-adaptive methods for multiscale chemical reactors: quiescent reactors. (English) Zbl 1425.65117 Comput. Methods Appl. Mech. Eng. 279, 163-197 (2014). MSC: 65M60 92E20 35K57 PDF BibTeX XML Cite \textit{C. E. Michoski} et al., Comput. Methods Appl. Mech. Eng. 279, 163--197 (2014; Zbl 1425.65117) Full Text: DOI OpenURL
Michoski, C.; Meyerson, D.; Isaac, T.; Waelbroeck, F. Discontinuous Galerkin methods for plasma physics in the scrape-off layer of tokamaks. (English) Zbl 1351.82104 J. Comput. Phys. 274, 898-919 (2014). MSC: 82D10 82C80 PDF BibTeX XML Cite \textit{C. Michoski} et al., J. Comput. Phys. 274, 898--919 (2014; Zbl 1351.82104) Full Text: DOI OpenURL
van Es, Bram; Koren, Barry; de Blank, Hugo J. Finite-difference schemes for anisotropic diffusion. (English) Zbl 1349.82136 J. Comput. Phys. 272, 526-549 (2014). MSC: 82C80 65M06 82D10 PDF BibTeX XML Cite \textit{B. van Es} et al., J. Comput. Phys. 272, 526--549 (2014; Zbl 1349.82136) Full Text: DOI OpenURL
Kim, Mi-Young; Wheeler, Mary F. Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems. (English) Zbl 1350.65109 Comput. Math. Appl. 67, No. 1, 181-198 (2014). MSC: 65M60 65M55 35K57 65M12 65Y05 PDF BibTeX XML Cite \textit{M.-Y. Kim} and \textit{M. F. Wheeler}, Comput. Math. Appl. 67, No. 1, 181--198 (2014; Zbl 1350.65109) Full Text: DOI OpenURL
Kou, Jisheng; Sun, Shuyu Upwind discontinuous Galerkin methods with mass conservation of both phases for incompressible two-phase flow in porous media. (English) Zbl 1308.76169 Numer. Methods Partial Differ. Equations 30, No. 5, 1674-1699 (2014). MSC: 76M10 76S05 76T99 65M60 65M15 PDF BibTeX XML Cite \textit{J. Kou} and \textit{S. Sun}, Numer. Methods Partial Differ. Equations 30, No. 5, 1674--1699 (2014; Zbl 1308.76169) Full Text: DOI OpenURL
Lewis, Thomas; Neilan, Michael Convergence analysis of a symmetric dual-wind discontinuous Galerkin method. (English) Zbl 1303.65092 J. Sci. Comput. 59, No. 3, 602-625 (2014). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65N12 65N30 35J05 65N15 PDF BibTeX XML Cite \textit{T. Lewis} and \textit{M. Neilan}, J. Sci. Comput. 59, No. 3, 602--625 (2014; Zbl 1303.65092) Full Text: DOI OpenURL
Dutra do Carmo, E. G.; Araújo Fernandes, M. T. C.; Mansur, Webe João Continuous/discontinuous Galerkin methods applied to elasticity problems. (English) Zbl 1296.74110 Comput. Methods Appl. Mech. Eng. 269, 291-314 (2014). MSC: 74S05 65N30 74B05 PDF BibTeX XML Cite \textit{E. G. Dutra do Carmo} et al., Comput. Methods Appl. Mech. Eng. 269, 291--314 (2014; Zbl 1296.74110) 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
He, Xiaoming; Lin, Tao; Lin, Yanping A selective immersed discontinuous Galerkin method for elliptic interface problems. (English) Zbl 1292.65126 Math. Methods Appl. Sci. 37, No. 7, 983-1002 (2014). MSC: 65N30 35J25 65N50 PDF BibTeX XML Cite \textit{X. He} et al., Math. Methods Appl. Sci. 37, No. 7, 983--1002 (2014; Zbl 1292.65126) Full Text: DOI OpenURL
Kou, Jisheng; Sun, Shuyu Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media. (English) Zbl 1291.76204 Math. Methods Appl. Sci. 37, No. 7, 962-982 (2014). MSC: 76M10 76T99 76S05 PDF BibTeX XML Cite \textit{J. Kou} and \textit{S. Sun}, Math. Methods Appl. Sci. 37, No. 7, 962--982 (2014; Zbl 1291.76204) Full Text: DOI OpenURL
Lipnikov, Konstantin; Vassilev, Danail; Yotov, Ivan Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids. (English) Zbl 1282.76139 Numer. Math. 126, No. 2, 321-360 (2014). MSC: 76M20 76D07 65N12 65N15 65N22 65N30 PDF BibTeX XML Cite \textit{K. Lipnikov} et al., Numer. Math. 126, No. 2, 321--360 (2014; Zbl 1282.76139) Full Text: DOI OpenURL
Liu, Ruijie; Wheeler, Mary F.; Yotov, Ivan On the spatial formulation of discontinuous Galerkin methods for finite elastoplasticity. (English) Zbl 1297.74121 Comput. Methods Appl. Mech. Eng. 253, 219-236 (2013). MSC: 74S05 65M60 74C05 PDF BibTeX XML Cite \textit{R. Liu} et al., Comput. Methods Appl. Mech. Eng. 253, 219--236 (2013; Zbl 1297.74121) Full Text: DOI OpenURL
Song, Lunji; Gie, Gung-Min; Shiue, Ming-Cheng Interior penalty discontinuous Galerkin methods with implicit time-integration techniques for nonlinear parabolic equations. (English) Zbl 1281.65131 Numer. Methods Partial Differ. Equations 29, No. 4, 1341-1366 (2013). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65M20 35K55 76S05 76M10 65M15 65M12 PDF BibTeX XML Cite \textit{L. Song} et al., Numer. Methods Partial Differ. Equations 29, No. 4, 1341--1366 (2013; Zbl 1281.65131) Full Text: DOI 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
Heumann, Holger; Hiptmair, Ralf Convergence of lowest-order semi-Lagrangian schemes. (English) Zbl 1273.65121 Found. Comput. Math. 13, No. 2, 187-220 (2013). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M12 65M25 65M60 62M20 35K20 PDF BibTeX XML Cite \textit{H. Heumann} and \textit{R. Hiptmair}, Found. Comput. Math. 13, No. 2, 187--220 (2013; Zbl 1273.65121) Full Text: DOI OpenURL
Yan, Jue A new nonsymmetric discontinuous Galerkin method for time dependent convection diffusion equations. (English) Zbl 1269.65102 J. Sci. Comput. 54, No. 2-3, 663-683 (2013). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M60 65M12 35K05 35K55 35K20 35K57 35K65 76S05 76M10 PDF BibTeX XML Cite \textit{J. Yan}, J. Sci. Comput. 54, No. 2--3, 663--683 (2013; Zbl 1269.65102) Full Text: DOI OpenURL
Jeon, Youngmok; Park, Eun-Jae New locally conservative finite element methods on a rectangular mesh. (English) Zbl 1269.65125 Numer. Math. 123, No. 1, 97-119 (2013). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 65N15 65N50 35J25 PDF BibTeX XML Cite \textit{Y. Jeon} and \textit{E.-J. Park}, Numer. Math. 123, No. 1, 97--119 (2013; Zbl 1269.65125) Full Text: DOI OpenURL
Yang, Jiming; Chen, Yanping A posteriori error analysis for a fully discrete discontinuous Galerkin approximation to a kind of reactive transport problems. (English) Zbl 1307.65121 J. Syst. Sci. Complex. 25, No. 2, 398-409 (2012). MSC: 65M15 65M60 35K20 PDF BibTeX XML Cite \textit{J. Yang} and \textit{Y. Chen}, J. Syst. Sci. Complex. 25, No. 2, 398--409 (2012; Zbl 1307.65121) Full Text: DOI OpenURL
Bastian, Peter; Blatt, Markus; Scheichl, Robert Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems. (English) Zbl 1274.65313 Numer. Linear Algebra Appl. 19, No. 2, 367-388 (2012). MSC: 65N55 65F10 65N22 65N30 35J25 35R05 PDF BibTeX XML Cite \textit{P. Bastian} et al., Numer. Linear Algebra Appl. 19, No. 2, 367--388 (2012; Zbl 1274.65313) Full Text: DOI OpenURL
Zhang, Mengping; Yan, Jue Fourier type error analysis of the direct discontinuous Galerkin method and its variations for diffusion equations. (English) Zbl 1255.65165 J. Sci. Comput. 52, No. 3, 638-655 (2012). MSC: 65M15 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Yan}, J. Sci. Comput. 52, No. 3, 638--655 (2012; Zbl 1255.65165) Full Text: DOI OpenURL
Li, Jichun; Waters, Jiajia Wang; Machorro, Eric A. An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell’s equations in metamaterials. (English) Zbl 1253.78008 Comput. Methods Appl. Mech. Eng. 223-224, 43-54 (2012). MSC: 78A25 78M10 65M60 PDF BibTeX XML Cite \textit{J. Li} et al., Comput. Methods Appl. Mech. Eng. 223--224, 43--54 (2012; Zbl 1253.78008) Full Text: DOI OpenURL
Giani, Stefano; Hall, Edward J. C. An a posteriori error estimator for \(hp\)-adaptive discontinuous Galerkin methods for elliptic eigenvalue problems. (English) Zbl 1257.65062 Math. Models Methods Appl. Sci. 22, No. 10, 1250030, 35 p. (2012). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N15 65N25 65N30 65N50 35P15 35J05 65N12 PDF BibTeX XML Cite \textit{S. Giani} and \textit{E. J. C. Hall}, Math. Models Methods Appl. Sci. 22, No. 10, 1250030, 35 p. (2012; Zbl 1257.65062) Full Text: DOI OpenURL
Huang, Yunqing; Liu, Hailiang; Yi, Nianyu Recovery of normal derivatives from the piecewise \(L^2\) projection. (English) Zbl 1408.65009 J. Comput. Phys. 231, No. 4, 1230-1243 (2012). MSC: 65D25 65N30 PDF BibTeX XML Cite \textit{Y. Huang} et al., J. Comput. Phys. 231, No. 4, 1230--1243 (2012; Zbl 1408.65009) Full Text: DOI OpenURL
Song, Lunji Fully discrete interior penalty discontinuous Galerkin methods for nonlinear parabolic equations. (English) Zbl 1236.65127 Numer. Methods Partial Differ. Equations 28, No. 1, 288-311 (2012). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 35K55 65M15 65M20 65M06 65M12 PDF BibTeX XML Cite \textit{L. Song}, Numer. Methods Partial Differ. Equations 28, No. 1, 288--311 (2012; Zbl 1236.65127) Full Text: DOI OpenURL
Nishikawa, Hiroaki Robust and accurate viscous discretization via upwind scheme. I: Basic principle. (English) Zbl 1271.76190 Comput. Fluids 49, No. 1, 62-86 (2011). MSC: 76M12 76M22 76R50 PDF BibTeX XML Cite \textit{H. Nishikawa}, Comput. Fluids 49, No. 1, 62--86 (2011; Zbl 1271.76190) Full Text: DOI Link OpenURL
Bi, Chunjia; Ginting, Victor Two-grid discontinuous Galerkin method for quasi-linear elliptic problems. (English) Zbl 1251.65157 J. Sci. Comput. 49, No. 3, 311-331 (2011). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N30 65N55 65N15 35J62 PDF BibTeX XML Cite \textit{C. Bi} and \textit{V. Ginting}, J. Sci. Comput. 49, No. 3, 311--331 (2011; Zbl 1251.65157) Full Text: DOI OpenURL
Aoki, Yasunori; De Sterck, Hans Augmented high order finite volume element method for elliptic PDEs in non-smooth domains: Convergence study. (English) Zbl 1221.65299 J. Comput. Appl. Math. 235, No. 17, 5177-5187 (2011). MSC: 65N30 65N08 65N12 35J25 PDF BibTeX XML Cite \textit{Y. Aoki} and \textit{H. De Sterck}, J. Comput. Appl. Math. 235, No. 17, 5177--5187 (2011; Zbl 1221.65299) Full Text: DOI OpenURL
Wu, Li; Wang, Kaixin A single-node characteristic collocation method for unsteady-state convection-diffusion equations in three-dimensional spaces. (English) Zbl 1219.65114 Numer. Methods Partial Differ. Equations 27, No. 4, 786-802 (2011). MSC: 65M70 35K20 65M25 76S05 76M22 PDF BibTeX XML Cite \textit{L. Wu} and \textit{K. Wang}, Numer. Methods Partial Differ. Equations 27, No. 4, 786--802 (2011; Zbl 1219.65114) Full Text: DOI OpenURL
Burman, Erik; Stamm, Benjamin Bubble stabilized discontinuous Galerkin methods on conforming and non-conforming meshes. (English) Zbl 1261.65114 Calcolo 48, No. 2, 189-209 (2011). Reviewer: Ali Filiz (Aydin) MSC: 65N30 65N50 65N12 35J25 PDF BibTeX XML Cite \textit{E. Burman} and \textit{B. Stamm}, Calcolo 48, No. 2, 189--209 (2011; Zbl 1261.65114) Full Text: DOI OpenURL
Yang, Jiming A posteriori error of a discontinuous Galerkin scheme for compressible miscible displacement problems with molecular diffusion and dispersion. (English) Zbl 1428.76178 Int. J. Numer. Methods Fluids 65, No. 7, 781-797 (2011). MSC: 76M99 65M60 65M15 76S05 PDF BibTeX XML Cite \textit{J. Yang}, Int. J. Numer. Methods Fluids 65, No. 7, 781--797 (2011; Zbl 1428.76178) 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
Liu, R.; Wheeler, M. F.; Dawson, C. N.; Dean, R. H. A fast convergent rate preserving discontinuous Galerkin framework for rate-independent plasticity problems. (English) Zbl 1225.74096 Comput. Methods Appl. Mech. Eng. 199, No. 49-52, 3213-3226 (2010). MSC: 74S05 74C05 74C15 PDF BibTeX XML Cite \textit{R. Liu} et al., Comput. Methods Appl. Mech. Eng. 199, No. 49--52, 3213--3226 (2010; Zbl 1225.74096) Full Text: DOI OpenURL
Yang, Jiming; Chen, Yanping A priori error analysis of a discontinuous Galerkin approximation for a kind of compressible miscible displacement problems. (English) Zbl 1273.76284 Sci. China, Math. 53, No. 10, 2679-2696 (2010). MSC: 76M10 65M60 76N99 76S05 PDF BibTeX XML Cite \textit{J. Yang} and \textit{Y. Chen}, Sci. China, Math. 53, No. 10, 2679--2696 (2010; Zbl 1273.76284) Full Text: DOI OpenURL
Younes, Anis; Fahs, Marwan; Ackerer, Philippe An efficient geometric approach to solve the slope limiting problem with the discontinuous Galerkin method on unstructured triangles. (English) Zbl 1208.65149 Int. J. Numer. Methods Biomed. Eng. 26, No. 12, 1824-1835 (2010). MSC: 65M60 35L50 PDF BibTeX XML Cite \textit{A. Younes} et al., Int. J. Numer. Methods Biomed. Eng. 26, No. 12, 1824--1835 (2010; Zbl 1208.65149) Full Text: DOI OpenURL
He, Xiaoming; Lin, Tao; Lin, Yanping Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient. (English) Zbl 1205.35010 J. Syst. Sci. Complex. 23, No. 3, 467-483 (2010). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35A35 65N50 35J25 PDF BibTeX XML Cite \textit{X. He} et al., J. Syst. Sci. Complex. 23, No. 3, 467--483 (2010; Zbl 1205.35010) 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
Burman, Erik; Stamm, Benjamin Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems. (English) Zbl 1207.65135 Numer. Math. 116, No. 2, 213-241 (2010). Reviewer: Ali Filiz (Aydin) MSC: 65N30 65M60 65N12 65M12 35J25 35K20 65M06 PDF BibTeX XML Cite \textit{E. Burman} and \textit{B. Stamm}, Numer. Math. 116, No. 2, 213--241 (2010; Zbl 1207.65135) Full Text: DOI Link OpenURL