Antonietti, Paola F.; Botti, Michele; Mazzieri, Ilario; Poltri, Simone Nati A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids. (English) Zbl 07459356 SIAM J. Sci. Comput. 44, No. 1, B1-B28 (2022). MSC: 65M12 65M60 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., SIAM J. Sci. Comput. 44, No. 1, B1--B28 (2022; Zbl 07459356) Full Text: DOI OpenURL
Ferro, Nicola; Perotto, Simona; Cangiani, Andrea An anisotropic recovery-based error estimator for adaptive discontinuous Galerkin methods. (English) Zbl 07454827 J. Sci. Comput. 90, No. 1, Paper No. 45, 24 p. (2022). MSC: 65Nxx 65Mxx 35Jxx PDF BibTeX XML Cite \textit{N. Ferro} et al., J. Sci. Comput. 90, No. 1, Paper No. 45, 24 p. (2022; Zbl 07454827) Full Text: DOI OpenURL
Zhong, Liuqiang; Xuan, Yue; Cui, Jintao Two-grid discontinuous Galerkin method for convection-diffusion-reaction equations. (English) Zbl 07444657 J. Comput. Appl. Math. 404, Article ID 113903, 13 p. (2022). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{L. Zhong} et al., J. Comput. Appl. Math. 404, Article ID 113903, 13 p. (2022; Zbl 07444657) Full Text: DOI OpenURL
Weber, Ivy; Kreiss, Gunilla; Nazarov, Murtazo Stability analysis of high order methods for the wave equation. (English) Zbl 07444654 J. Comput. Appl. Math. 404, Article ID 113900, 20 p. (2022). MSC: 65Mxx 65Fxx 65Nxx PDF BibTeX XML Cite \textit{I. Weber} et al., J. Comput. Appl. Math. 404, Article ID 113900, 20 p. (2022; Zbl 07444654) Full Text: DOI OpenURL
Liu, Xiaodong; Morgan, Nathaniel R.; Lieberman, Evan J.; Burton, Donald E. A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids. (English) Zbl 07444644 J. Comput. Appl. Math. 404, Article ID 113890, 26 p. (2022). MSC: 76Mxx 65Mxx 76N15 PDF BibTeX XML Cite \textit{X. Liu} et al., J. Comput. Appl. Math. 404, Article ID 113890, 26 p. (2022; Zbl 07444644) Full Text: DOI OpenURL
Wen, Jing; Su, Jian; He, Yinnian; Wang, Zhiheng A strongly conservative finite element method for the coupled Stokes and dual-porosity model. (English) Zbl 07444638 J. Comput. Appl. Math. 404, Article ID 113879, 16 p. (2022). MSC: 65Nxx 76Mxx 76Dxx PDF BibTeX XML Cite \textit{J. Wen} et al., J. Comput. Appl. Math. 404, Article ID 113879, 16 p. (2022; Zbl 07444638) Full Text: DOI OpenURL
La Spina, Andrea; Fish, Jacob A superconvergent hybridizable discontinuous Galerkin method for weakly compressible magnetohydrodynamics. (English) Zbl 07442813 Comput. Methods Appl. Mech. Eng. 388, Article ID 114278, 32 p. (2022). MSC: 76-XX 74-XX PDF BibTeX XML Cite \textit{A. La Spina} and \textit{J. Fish}, Comput. Methods Appl. Mech. Eng. 388, Article ID 114278, 32 p. (2022; Zbl 07442813) Full Text: DOI OpenURL
Stoter, Stein K. F.; Cockburn, Bernardo; Hughes, Thomas J. R.; Schillinger, Dominik Discontinuous Galerkin methods through the Lens of variational multiscale analysis. (English) Zbl 07442790 Comput. Methods Appl. Mech. Eng. 388, Article ID 114220, 26 p. (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{S. K. F. Stoter} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114220, 26 p. (2022; Zbl 07442790) Full Text: DOI OpenURL
Çiloğlu, Pelin; Yücel, Hamdullah Stochastic discontinuous Galerkin methods with low-rank solvers for convection diffusion equations. (English) Zbl 07441548 Appl. Numer. Math. 172, 157-185 (2022). MSC: 60Hxx 65Nxx 65Cxx PDF BibTeX XML Cite \textit{P. Çiloğlu} and \textit{H. Yücel}, Appl. Numer. Math. 172, 157--185 (2022; Zbl 07441548) Full Text: DOI OpenURL
Brio, M.; Caputo, J.-G.; Kravitz, H. Spectral solutions of PDEs on networks. (English) Zbl 07441545 Appl. Numer. Math. 172, 99-117 (2022). MSC: 65Mxx 35Qxx 65Fxx PDF BibTeX XML Cite \textit{M. Brio} et al., Appl. Numer. Math. 172, 99--117 (2022; Zbl 07441545) Full Text: DOI 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 07435367 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 07435367) Full Text: DOI OpenURL
Zhou, Lingling; Xia, Yinhua Arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for linear convection-diffusion equations. (English) Zbl 07435365 J. Sci. Comput. 90, No. 1, Paper No. 21, 31 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDF BibTeX XML Cite \textit{L. Zhou} and \textit{Y. Xia}, J. Sci. Comput. 90, No. 1, Paper No. 21, 31 p. (2022; Zbl 07435365) Full Text: DOI OpenURL
Vismara, Federico; Benacchio, Tommaso; Bonaventura, Luca A seamless, extended DG approach for advection-diffusion problems on unbounded domains. (English) Zbl 07435298 J. Sci. Comput. 90, No. 1, Paper No. 5, 27 p. (2022). MSC: 65M60 65M06 65N30 65M70 65D32 33C55 76M10 76M22 35Q35 PDF BibTeX XML Cite \textit{F. Vismara} et al., J. Sci. Comput. 90, No. 1, Paper No. 5, 27 p. (2022; Zbl 07435298) Full Text: DOI OpenURL
McClarren, Ryan G.; Rossmanith, James A.; Shin, Minwoo Semi-implicit hybrid discrete \(\left(\mathrm{H}^T_N\right)\) approximation of thermal radiative transfer. (English) Zbl 07435295 J. Sci. Comput. 90, No. 1, Paper No. 2, 29 p. (2022). MSC: 85A25 65M60 PDF BibTeX XML Cite \textit{R. G. McClarren} et al., J. Sci. Comput. 90, No. 1, Paper No. 2, 29 p. (2022; Zbl 07435295) Full Text: DOI OpenURL
Shin, Dongwook; Jeon, Youngmok; Park, Eun-Jae A novel hybrid difference method for an elliptic equation. (English) Zbl 07428255 Appl. Math. Comput. 415, Article ID 126702, 21 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDF BibTeX XML Cite \textit{D. Shin} et al., Appl. Math. Comput. 415, Article ID 126702, 21 p. (2022; Zbl 07428255) Full Text: DOI OpenURL
Safdari, Hamid; Rajabzadeh, Majid; Khalighi, Moein LDG approximation of a nonlinear fractional convection-diffusion equation using B-spline basis functions. (English) Zbl 07418826 Appl. Numer. Math. 171, 45-57 (2022). MSC: 65Mxx 65Dxx 35Rxx PDF BibTeX XML Cite \textit{H. Safdari} et al., Appl. Numer. Math. 171, 45--57 (2022; Zbl 07418826) Full Text: DOI OpenURL
Thiele, Christopher; Riviere, Beatrice \(p\)-multigrid with partial smoothing: an efficient preconditioner for discontinuous Galerkin discretizations with modal bases. (English) Zbl 07415983 J. Comput. Appl. Math. 402, Article ID 113815, 16 p. (2022). MSC: 65Nxx 65Fxx 35Jxx PDF BibTeX XML Cite \textit{C. Thiele} and \textit{B. Riviere}, J. Comput. Appl. Math. 402, Article ID 113815, 16 p. (2022; Zbl 07415983) Full Text: DOI OpenURL
Fabien, Maurice S. Numerical error analysis for an energy-stable HDG method for the Allen-Cahn equation. (English) Zbl 07415975 J. Comput. Appl. Math. 402, Article ID 113800, 15 p. (2022). MSC: 65Mxx 65Nxx 35Jxx PDF BibTeX XML Cite \textit{M. S. Fabien}, J. Comput. Appl. Math. 402, Article ID 113800, 15 p. (2022; Zbl 07415975) Full Text: DOI OpenURL
Engström, C.; Giani, S.; Grubišić, L. Higher order composite DG approximations of Gross-Pitaevskii ground state: benchmark results and experiments. (English) Zbl 07396389 J. Comput. Appl. Math. 400, Article ID 113652, 15 p. (2022). MSC: 65N35 65M60 78M10 PDF BibTeX XML Cite \textit{C. Engström} et al., J. Comput. Appl. Math. 400, Article ID 113652, 15 p. (2022; Zbl 07396389) Full Text: DOI OpenURL
Solano, Manuel; Vargas M., Felipe An unfitted HDG method for Oseen equations. (English) Zbl 07389256 J. Comput. Appl. Math. 399, Article ID 113721, 18 p. (2022). MSC: 65N30 65N12 65N15 76D07 76D05 35Q35 PDF BibTeX XML Cite \textit{M. Solano} and \textit{F. Vargas M.}, J. Comput. Appl. Math. 399, Article ID 113721, 18 p. (2022; Zbl 07389256) Full Text: DOI OpenURL
Hong, Qingguo; Hu, Jun; Ma, Limin; Xu, Jinchao New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor. (English) Zbl 07459672 Numer. Math. 149, No. 3, 645-678 (2021). MSC: 65N30 65N12 74B10 74S05 35Q74 PDF BibTeX XML Cite \textit{Q. Hong} et al., Numer. Math. 149, No. 3, 645--678 (2021; Zbl 07459672) Full Text: DOI OpenURL
Hoppe, Ronald H. W.; Iliash, Youri An equilibrated a posteriori error estimator for an interior penalty discontinuous Galerkin approximation of the \(p\)-Laplace problem. (English) Zbl 07449461 Russ. J. Numer. Anal. Math. Model. 36, No. 6, 313-336 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{R. H. W. Hoppe} and \textit{Y. Iliash}, Russ. J. Numer. Anal. Math. Model. 36, No. 6, 313--336 (2021; Zbl 07449461) Full Text: DOI OpenURL
Wang, Jufang; Liu, Tiegang Solution remapping technique to accelerate flow convergence for discontinuous Galerkin methods on unstructured meshes. (Chinese. English summary) Zbl 07448735 J. Numer. Methods Comput. Appl. 42, No. 2, 169-182 (2021). MSC: 65M60 76M10 PDF BibTeX XML Cite \textit{J. Wang} and \textit{T. Liu}, J. Numer. Methods Comput. Appl. 42, No. 2, 169--182 (2021; Zbl 07448735) Full Text: DOI OpenURL
Du, Yulong; Xu, Kaiwen; Zhao, Kunlei; Yuan, Li A parallel DGM solver for the Euler equations on unstructured tetrahedral grids based on the toolbox PHG. (Chinese. English summary) Zbl 07448734 J. Numer. Methods Comput. Appl. 42, No. 2, 155-168 (2021). MSC: 65M60 65Y05 76M10 PDF BibTeX XML Cite \textit{Y. Du} et al., J. Numer. Methods Comput. Appl. 42, No. 2, 155--168 (2021; Zbl 07448734) Full Text: DOI OpenURL
Wang, Haiyun; Yuan, An’an; Zhu, Hongqiang An \(hp\)-adaptive RKDG algorithm using troubled-cell indicators. (Chinese. English summary) Zbl 07448702 J. Yangzhou Univ., Nat. Sci. Ed. 24, No. 1, 11-15, 29 (2021). MSC: 65M50 PDF BibTeX XML Cite \textit{H. Wang} et al., J. Yangzhou Univ., Nat. Sci. Ed. 24, No. 1, 11--15, 29 (2021; Zbl 07448702) Full Text: DOI OpenURL
Xiao, Yuyu; He, Siriguleng; Yang, Kaili A time-discontinuous space-time finite volume element method for convection-diffusion equations. (Chinese. English summary) Zbl 07448218 Appl. Math., Ser. A (Chin. Ed.) 36, No. 2, 179-192 (2021). MSC: 65N08 65N30 65N15 PDF BibTeX XML Cite \textit{Y. Xiao} et al., Appl. Math., Ser. A (Chin. Ed.) 36, No. 2, 179--192 (2021; Zbl 07448218) Full Text: DOI OpenURL
Vacek, Lukáš; Kučera, Václav Construction of fluxes at junctions for the numerical solution of traffic flow models on networks. (English) Zbl 07447619 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21–26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 149-158 (2021). MSC: 65M60 76A30 90B20 PDF BibTeX XML Cite \textit{L. Vacek} and \textit{V. Kučera}, in: Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21--26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 149--158 (2021; Zbl 07447619) Full Text: DOI OpenURL
Shin, Dongwook; Hwang, Yoongu; Park, Eun-Jae Novel adaptive hybrid discontinuous Galerkin algorithms for elliptic problems. (English) Zbl 07446791 Comput. Methods Appl. Math. 21, No. 4, 929-951 (2021). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{D. Shin} et al., Comput. Methods Appl. Math. 21, No. 4, 929--951 (2021; Zbl 07446791) Full Text: DOI OpenURL
Cheng, Yao; Mei, Yanjie Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems. (English) Zbl 07444710 Calcolo 58, No. 4, Paper No. 52, 36 p. (2021). MSC: 65L11 65L20 65L60 PDF BibTeX XML Cite \textit{Y. Cheng} and \textit{Y. Mei}, Calcolo 58, No. 4, Paper No. 52, 36 p. (2021; Zbl 07444710) Full Text: DOI OpenURL
Uzunca, Murat; Sarıaydın-Filibelioǧlu, Ayşe Adaptive discontinuous Galerkin finite elements for advective Allen-Cahn equation. (English) Zbl 07443597 Numer. Algebra Control Optim. 11, No. 2, 269-281 (2021). MSC: 65M60 35K57 65M15 PDF BibTeX XML Cite \textit{M. Uzunca} and \textit{A. Sarıaydın-Filibelioǧlu}, Numer. Algebra Control Optim. 11, No. 2, 269--281 (2021; Zbl 07443597) Full Text: DOI OpenURL
Hozman, Jiří; Tichý, Tomáš Option valuation under the VG process by a DG method. (English) Zbl 07442410 Appl. Math., Praha 66, No. 6, 857-886 (2021). MSC: 65M60 35Q91 65M15 91G60 91G80 PDF BibTeX XML Cite \textit{J. Hozman} and \textit{T. Tichý}, Appl. Math., Praha 66, No. 6, 857--886 (2021; Zbl 07442410) Full Text: DOI OpenURL
Wu, Kailiang Minimum principle on specific entropy and high-order accurate invariant-region-preserving numerical methods for relativistic hydrodynamics. (English) Zbl 07439856 SIAM J. Sci. Comput. 43, No. 6, B1164-B1197 (2021). MSC: 65-XX 35L65 65M60 65M08 65M12 76Y05 PDF BibTeX XML Cite \textit{K. Wu}, SIAM J. Sci. Comput. 43, No. 6, B1164--B1197 (2021; Zbl 07439856) Full Text: DOI OpenURL
Kreuzer, Christian; Verfürth, Rüdiger; Zanotti, Pietro Quasi-optimal and pressure robust discretizations of the Stokes equations by moment- and divergence-preserving operators. (English) Zbl 1475.65195 Comput. Methods Appl. Math. 21, No. 2, 423-443 (2021). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{C. Kreuzer} et al., Comput. Methods Appl. Math. 21, No. 2, 423--443 (2021; Zbl 1475.65195) Full Text: DOI OpenURL
Führer, Thomas; García Vera, Carlos; Heuer, Norbert A locking-free DPG scheme for Timoshenko beams. (English) Zbl 07433986 Comput. Methods Appl. Math. 21, No. 2, 373-383 (2021). MSC: 74S05 74K10 PDF BibTeX XML Cite \textit{T. Führer} et al., Comput. Methods Appl. Math. 21, No. 2, 373--383 (2021; Zbl 07433986) Full Text: DOI OpenURL
Hirmand, M. R.; Vahab, M.; Papoulia, K. D.; Khalili, N. Energy minimization versus criteria-based methods in discrete cohesive fracture simulations. (English) Zbl 07432599 Comput. Mech. 68, No. 4, 845-860 (2021). MSC: 74R10 74G65 74S05 PDF BibTeX XML Cite \textit{M. R. Hirmand} et al., Comput. Mech. 68, No. 4, 845--860 (2021; Zbl 07432599) Full Text: DOI OpenURL
Chan, Jesse; Bencomo, Mario J.; Del Rey Fernández, David C. Mortar-based entropy-stable discontinuous Galerkin methods on non-conforming quadrilateral and hexahedral meshes. (English) Zbl 07431329 J. Sci. Comput. 89, No. 2, Paper No. 51, 33 p. (2021). MSC: 65Mxx 35Lxx 76Mxx PDF BibTeX XML Cite \textit{J. Chan} et al., J. Sci. Comput. 89, No. 2, Paper No. 51, 33 p. (2021; Zbl 07431329) Full Text: DOI OpenURL
Guarino, Giuliano; Milazzo, Alberto; Gulizzi, Vincenzo Equivalent-single-layer discontinuous Galerkin methods for static analysis of multilayered shells. (English) Zbl 07428442 Appl. Math. Modelling 98, 701-721 (2021). MSC: 74Kxx 74Sxx 65Nxx PDF BibTeX XML Cite \textit{G. Guarino} et al., Appl. Math. Modelling 98, 701--721 (2021; Zbl 07428442) Full Text: DOI OpenURL
Duan, Huoyuan; Ma, Junhua; Zou, Jun Mixed finite element method with Gauss’s law enforced for the Maxwell eigenproblem. (English) Zbl 07427876 SIAM J. Sci. Comput. 43, No. 6, A3677-A3712 (2021). MSC: 65N30 65N25 65N50 78M10 PDF BibTeX XML Cite \textit{H. Duan} et al., SIAM J. Sci. Comput. 43, No. 6, A3677--A3712 (2021; Zbl 07427876) Full Text: DOI OpenURL
Cheng, Yao; Song, Chuanjing; Mei, Yanjie Local discontinuous Galerkin method for time-dependent singularly perturbed semilinear reaction-diffusion problems. (English) Zbl 1473.65186 Comput. Methods Appl. Math. 21, No. 1, 31-52 (2021). MSC: 65M60 65M12 65M15 PDF BibTeX XML Cite \textit{Y. Cheng} et al., Comput. Methods Appl. Math. 21, No. 1, 31--52 (2021; Zbl 1473.65186) Full Text: DOI OpenURL
Qing, Fang; Yu, Xijun; Jia, Zupeng; Li, Zhenzhen A cell-centered Lagrangian discontinuous Galerkin method using WENO and HWENO limiter for compressible Euler equations in two dimensions. (English) Zbl 07426654 Comput. Appl. Math. 40, No. 6, Paper No. 212, 33 p. (2021). MSC: 65M60 PDF BibTeX XML Cite \textit{F. Qing} et al., Comput. Appl. Math. 40, No. 6, Paper No. 212, 33 p. (2021; Zbl 07426654) Full Text: DOI OpenURL
Manzanero, Juan; Redondo, Carlos; Rubio, Gonzalo; Ferrer, Esteban; Rivero-Jiménez, Ángel A discontinuous Galerkin approximation for a wall-bounded consistent three-component Cahn-Hilliard flow model. (English) Zbl 07426263 Comput. Fluids 225, Article ID 104971, 13 p. (2021). MSC: 76-XX PDF BibTeX XML Cite \textit{J. Manzanero} et al., Comput. Fluids 225, Article ID 104971, 13 p. (2021; Zbl 07426263) Full Text: DOI OpenURL
Huynh, H. T. On explicit discontinuous Galerkin methods for conservation laws. (English) Zbl 07426225 Comput. Fluids 222, Article ID 104920, 17 p. (2021). MSC: 76-XX PDF BibTeX XML Cite \textit{H. T. Huynh}, Comput. Fluids 222, Article ID 104920, 17 p. (2021; Zbl 07426225) Full Text: DOI OpenURL
Trojak, W.; Witherden, F. D. A new family of weighted one-parameter flux reconstruction schemes. (English) Zbl 07426223 Comput. Fluids 222, Article ID 104918, 14 p. (2021). MSC: 46E39 46N40 65M60 65T99 76F65 PDF BibTeX XML Cite \textit{W. Trojak} and \textit{F. D. Witherden}, Comput. Fluids 222, Article ID 104918, 14 p. (2021; Zbl 07426223) Full Text: DOI OpenURL
Dürrwächter, Jakob; Kurz, Marius; Kopper, Patrick; Kempf, Daniel; Munz, Claus-Dieter; Beck, Andrea An efficient sliding mesh interface method for high-order discontinuous Galerkin schemes. (English) Zbl 07426144 Comput. Fluids 217, Article ID 104825, 16 p. (2021). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{J. Dürrwächter} et al., Comput. Fluids 217, Article ID 104825, 16 p. (2021; Zbl 07426144) Full Text: DOI OpenURL
Zhang, Yingjuan; Li, Gang; Qian, Shouguo; Gao, Jinmei A new ADER discontinuous Galerkin method based on differential transformation procedure for hyperbolic conservation laws. (English) Zbl 07425839 Comput. Appl. Math. 40, No. 4, Paper No. 139, 20 p. (2021). MSC: 65N30 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Comput. Appl. Math. 40, No. 4, Paper No. 139, 20 p. (2021; Zbl 07425839) Full Text: DOI OpenURL
Charati, AllahBakhsh Yazdani; Momeni, Hamid; Cheichan, Mohammed S. A new \(P_0\) weak Galerkin finite element scheme for second-order problems. (English) Zbl 07425838 Comput. Appl. Math. 40, No. 4, Paper No. 138, 11 p. (2021). MSC: 65M60 65N30 35J15 PDF BibTeX XML Cite \textit{A. Y. Charati} et al., Comput. Appl. Math. 40, No. 4, Paper No. 138, 11 p. (2021; Zbl 07425838) Full Text: DOI OpenURL
Bonito, Andrea; Nochetto, Ricardo H.; Ntogkas, Dimitrios DG approach to large bending plate deformations with isometry constraint. (English) Zbl 1473.65287 Math. Models Methods Appl. Sci. 31, No. 1, 133-175 (2021). MSC: 65N30 65N12 74K20 PDF BibTeX XML Cite \textit{A. Bonito} et al., Math. Models Methods Appl. Sci. 31, No. 1, 133--175 (2021; Zbl 1473.65287) Full Text: DOI OpenURL
Izadi, Mohammad A discontinuous finite element approximation to singular Lane-Emden type equations. (English) Zbl 07423560 Appl. Math. Comput. 401, Article ID 126115, 13 p. (2021). MSC: 65L05 65L10 65L60 65L07 34B16 PDF BibTeX XML Cite \textit{M. Izadi}, Appl. Math. Comput. 401, Article ID 126115, 13 p. (2021; Zbl 07423560) Full Text: DOI OpenURL
Dierkes, Dominik; Kummer, Florian; Plümacher, Dominik A high-order discontinuous Galerkin solver for helically symmetric flows. (English) Zbl 07423053 Commun. Comput. Phys. 30, No. 1, 288-320 (2021). MSC: 76M10 76M20 76D05 PDF BibTeX XML Cite \textit{D. Dierkes} et al., Commun. Comput. Phys. 30, No. 1, 288--320 (2021; Zbl 07423053) Full Text: DOI OpenURL
Zonca, Stefano; Antonietti, Paola F.; Vergara, Christian A polygonal discontinuous Galerkin formulation for contact mechanics in fluid-structure interaction problems. (English) Zbl 1473.65227 Commun. Comput. Phys. 30, No. 1, 1-33 (2021). MSC: 65M60 74F10 74M15 PDF BibTeX XML Cite \textit{S. Zonca} et al., Commun. Comput. Phys. 30, No. 1, 1--33 (2021; Zbl 1473.65227) Full Text: DOI OpenURL
Zhang, Qian; Xu, Yan; Shu, Chi-Wang Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations. (English) Zbl 1473.65225 Commun. Comput. Phys. 30, No. 2, 321-356 (2021). MSC: 65M60 35L75 35G25 PDF BibTeX XML Cite \textit{Q. Zhang} et al., Commun. Comput. Phys. 30, No. 2, 321--356 (2021; Zbl 1473.65225) Full Text: DOI OpenURL
Li, Shu-Cun; Tang, Huazhong Three discontinuous Galerkin methods for one- and two-dimensional nonlinear Dirac equations with a scalar self-interaction. (English) Zbl 1473.65206 Commun. Comput. Phys. 30, No. 4, 1150-1184 (2021). MSC: 65M60 35L05 81Q05 81-08 PDF BibTeX XML Cite \textit{S.-C. Li} and \textit{H. Tang}, Commun. Comput. Phys. 30, No. 4, 1150--1184 (2021; Zbl 1473.65206) Full Text: DOI OpenURL
Huang, Jianguo; Yu, Yue A sparse grid discrete ordinate discontinuous Galerkin method for the radiative transfer equation. (English) Zbl 1473.65301 Commun. Comput. Phys. 30, No. 4, 1009-1036 (2021). MSC: 65N30 65N35 65N15 65R20 PDF BibTeX XML Cite \textit{J. Huang} and \textit{Y. Yu}, Commun. Comput. Phys. 30, No. 4, 1009--1036 (2021; Zbl 1473.65301) Full Text: DOI OpenURL
Castillo, Paul; Gómez, Sergio An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D. (English) Zbl 07422795 Appl. Math. Comput. 397, Article ID 125984, 13 p. (2021). MSC: 65Mxx 35Kxx PDF BibTeX XML Cite \textit{P. Castillo} and \textit{S. Gómez}, Appl. Math. Comput. 397, Article ID 125984, 13 p. (2021; Zbl 07422795) Full Text: DOI OpenURL
Dong, Ziming; Li, Hong A space-time finite element method based on local projection stabilization in space and discontinuous Galerkin method in time for convection-diffusion-reaction equations. (English) Zbl 07422784 Appl. Math. Comput. 397, Article ID 125937, 15 p. (2021). MSC: 76Dxx 65Nxx PDF BibTeX XML Cite \textit{Z. Dong} and \textit{H. Li}, Appl. Math. Comput. 397, Article ID 125937, 15 p. (2021; Zbl 07422784) Full Text: DOI OpenURL
Tunc, Huseyin; Sari, Murat A stabilized discontinuous Galerkin method for the nonlinear advection-diffusion processes. (English) Zbl 1473.65214 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 1, 24-45 (2021). MSC: 65M60 65N30 35L67 PDF BibTeX XML Cite \textit{H. Tunc} and \textit{M. Sari}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 1, 24--45 (2021; Zbl 1473.65214) Full Text: DOI OpenURL
Ray, Deep; Liu, Chen; Riviere, Beatrice A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant. (English) Zbl 1473.76061 Comput. Geosci. 25, No. 5, 1775-1792 (2021). MSC: 76T06 76M10 76S05 86-08 PDF BibTeX XML Cite \textit{D. Ray} et al., Comput. Geosci. 25, No. 5, 1775--1792 (2021; Zbl 1473.76061) Full Text: DOI OpenURL
Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on tetrahedral meshes. (English) Zbl 1474.65379 Commun. Comput. Phys. 29, No. 4, 1030-1058 (2021). MSC: 65M60 65M99 35L65 PDF BibTeX XML Cite \textit{J. Zhu} et al., Commun. Comput. Phys. 29, No. 4, 1030--1058 (2021; Zbl 1474.65379) Full Text: DOI OpenURL
Du, Jie; Chung, Eric Mortar DG method with staggered hybridization for Rayleigh waves simulation. (English) Zbl 1473.65163 Commun. Comput. Phys. 29, No. 1, 111-127 (2021). MSC: 65M32 65M60 PDF BibTeX XML Cite \textit{J. Du} and \textit{E. Chung}, Commun. Comput. Phys. 29, No. 1, 111--127 (2021; Zbl 1473.65163) Full Text: DOI OpenURL
Imbert-Gérard, Lise-Marie; Sylvand, Guillaume A roadmap for Generalized Plane Waves and their interpolation properties. (English) Zbl 07418774 Numer. Math. 149, No. 1, 87-137 (2021). MSC: 65N30 35J05 PDF BibTeX XML Cite \textit{L.-M. Imbert-Gérard} and \textit{G. Sylvand}, Numer. Math. 149, No. 1, 87--137 (2021; Zbl 07418774) Full Text: DOI OpenURL
He, Yunhui; Rhebergen, Sander; de Sterck, Hans Local Fourier analysis of multigrid for hybridized and embedded discontinuous Galerkin methods. (English) Zbl 07418122 SIAM J. Sci. Comput. 43, No. 5, S612-S636 (2021). MSC: 65F08 65N30 65N55 PDF BibTeX XML Cite \textit{Y. He} et al., SIAM J. Sci. Comput. 43, No. 5, S612--S636 (2021; Zbl 07418122) 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 07418110 SIAM J. Sci. Comput. 43, No. 5, S317-S344 (2021). MSC: 76S05 49M15 76D05 PDF BibTeX XML Cite \textit{L. Luo} et al., SIAM J. Sci. Comput. 43, No. 5, S317--S344 (2021; Zbl 07418110) Full Text: DOI OpenURL
Yan, Fengna; Xu, Yan Error analysis of an unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard equation with concentration-dependent mobility. (English) Zbl 1473.65155 Comput. Methods Appl. Math. 21, No. 3, 729-751 (2021). MSC: 65M15 65M12 65M60 35K55 PDF BibTeX XML Cite \textit{F. Yan} and \textit{Y. Xu}, Comput. Methods Appl. Math. 21, No. 3, 729--751 (2021; Zbl 1473.65155) Full Text: DOI OpenURL
Witte, Julius; Arndt, Daniel; Kanschat, Guido Fast tensor product Schwarz smoothers for high-order discontinuous Galerkin methods. (English) Zbl 1473.65344 Comput. Methods Appl. Math. 21, No. 3, 709-728 (2021). MSC: 65N55 65N30 65Y20 PDF BibTeX XML Cite \textit{J. Witte} et al., Comput. Methods Appl. Math. 21, No. 3, 709--728 (2021; Zbl 1473.65344) Full Text: DOI arXiv OpenURL
Kang, Shinhoo; Bui-Thanh, Tan A scalable exponential-DG approach for nonlinear conservation laws: with application to Burger and Euler equations. (English) Zbl 07415677 Comput. Methods Appl. Mech. Eng. 385, Article ID 114031, 36 p. (2021). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{S. Kang} and \textit{T. Bui-Thanh}, Comput. Methods Appl. Mech. Eng. 385, Article ID 114031, 36 p. (2021; Zbl 07415677) 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 OpenURL
Sánchez, Manuel A.; Cockburn, Bernardo; Nguyen, Ngoc-Cuong; Peraire, Jaime Symplectic Hamiltonian finite element methods for linear elastodynamics. (English) Zbl 07414362 Comput. Methods Appl. Mech. Eng. 381, Article ID 113843, 23 p. (2021). MSC: 65M60 74H15 74J05 74S05 PDF BibTeX XML Cite \textit{M. A. Sánchez} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113843, 23 p. (2021; Zbl 07414362) Full Text: DOI OpenURL
Hofer, Christoph; Toulopoulos, Ioannis Discontinuous Galerkin isogeometric analysis for segmentations generating overlapping regions. (English) Zbl 07413702 Appl. Anal. 100, No. 13, 2749-2776 (2021). MSC: 65M12 65M15 PDF BibTeX XML Cite \textit{C. Hofer} and \textit{I. Toulopoulos}, Appl. Anal. 100, No. 13, 2749--2776 (2021; Zbl 07413702) Full Text: DOI OpenURL
Lyu, Maohui; Bokil, Vrushali A.; Cheng, Yingda; Li, Fengyan Energy stable nodal discontinuous Galerkin methods for nonlinear Maxwell’s equations in multi-dimensions. (English) Zbl 07413663 J. Sci. Comput. 89, No. 2, Paper No. 45, 42 p. (2021). MSC: 65Mxx 78Axx 78Mxx PDF BibTeX XML Cite \textit{M. Lyu} et al., J. Sci. Comput. 89, No. 2, Paper No. 45, 42 p. (2021; Zbl 07413663) Full Text: DOI OpenURL
Sivas, A. A.; Southworth, B. S.; Rhebergen, S. AIR algebraic multigrid for a space-time hybridizable discontinuous Galerkin discretization of advection(-diffusion). (English) Zbl 07411925 SIAM J. Sci. Comput. 43, No. 5, A3393-A3416 (2021). MSC: 65F08 65F10 65M22 65M55 65M60 PDF BibTeX XML Cite \textit{A. A. Sivas} et al., SIAM J. Sci. Comput. 43, No. 5, A3393--A3416 (2021; Zbl 07411925) Full Text: DOI OpenURL
Stauffert, Maxime; Duvigneau, Régis Shape sensitivity analysis in aerodynamics using an isogeometric discontinuous Galerkin method. (English) Zbl 07411921 SIAM J. Sci. Comput. 43, No. 5, B1081-B1104 (2021). MSC: 65-XX 35L60 65M50 65M60 76N25 PDF BibTeX XML Cite \textit{M. Stauffert} and \textit{R. Duvigneau}, SIAM J. Sci. Comput. 43, No. 5, B1081--B1104 (2021; Zbl 07411921) Full Text: DOI OpenURL
Kim, H. H.; Jung, C.-Y.; Nguyen, T. B. A staggered discontinuous Galerkin method for elliptic problems on rectangular grids. (English) Zbl 07411564 Comput. Math. Appl. 99, 133-154 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{H. H. Kim} et al., Comput. Math. Appl. 99, 133--154 (2021; Zbl 07411564) Full Text: DOI OpenURL
Burman, Erik; Delay, Guillaume; Ern, Alexandre A hybridized high-order method for unique continuation subject to the Helmholtz equation. (English) Zbl 07410700 SIAM J. Numer. Anal. 59, No. 5, 2368-2392 (2021). MSC: 65N20 65N30 65J20 35R25 35J05 PDF BibTeX XML Cite \textit{E. Burman} et al., SIAM J. Numer. Anal. 59, No. 5, 2368--2392 (2021; Zbl 07410700) Full Text: DOI OpenURL
Kang, Qiao; Xu, Yan A discontinuous Galerkin method with minimal dissipation for a finite-strain plate. (English) Zbl 07409149 Adv. Appl. Math. Mech. 13, No. 5, 1027-1063 (2021). MSC: 65N30 35J47 35G15 PDF BibTeX XML Cite \textit{Q. Kang} and \textit{Y. Xu}, Adv. Appl. Math. Mech. 13, No. 5, 1027--1063 (2021; Zbl 07409149) Full Text: DOI OpenURL
Yeager, Benjamin; Kubatko, Ethan; Wood, Dylan Time step restrictions for strong-stability-preserving multistep Runge-Kutta discontinuous Galerkin methods. (English) Zbl 07408884 J. Sci. Comput. 89, No. 2, Paper No. 29, 18 p. (2021). MSC: 65M12 65M60 PDF BibTeX XML Cite \textit{B. Yeager} et al., J. Sci. Comput. 89, No. 2, Paper No. 29, 18 p. (2021; Zbl 07408884) Full Text: DOI OpenURL
Guo, Hui; Jia, Rui; Tian, Lulu; Yang, Yang Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation. (English) Zbl 07405593 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1103-1131 (2021). MSC: 65M15 65M60 PDF BibTeX XML Cite \textit{H. Guo} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1103--1131 (2021; Zbl 07405593) Full Text: DOI OpenURL
Kashiwabara, Takahito; Tsuchiya, Takuya A robust discontinuous Galerkin scheme on anisotropic meshes. (English) Zbl 07404706 Japan J. Ind. Appl. Math. 38, No. 3, 1001-1022 (2021). MSC: 65N30 65N50 65N15 PDF BibTeX XML Cite \textit{T. Kashiwabara} and \textit{T. Tsuchiya}, Japan J. Ind. Appl. Math. 38, No. 3, 1001--1022 (2021; Zbl 07404706) Full Text: DOI OpenURL
Hoppe, R. H. W. On Poincaré-Friedrichs type inequalities for the broken Sobolev space \({W^{2, 1}}\). (English) Zbl 07404490 Numer. Math., Theory Methods Appl. 14, No. 1, 31-46 (2021). MSC: 65N30 68U10 PDF BibTeX XML Cite \textit{R. H. W. Hoppe}, Numer. Math., Theory Methods Appl. 14, No. 1, 31--46 (2021; Zbl 07404490) Full Text: DOI OpenURL
Zeng, Yuping; Weng, Zhifeng; Hu, Hanzhang A priori and a posteriori error estimates of a WOPSIP DG method for a simplified frictional contact problem. (Chinese. English summary) Zbl 07404381 Math. Numer. Sin. 43, No. 2, 162-176 (2021). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{Y. Zeng} et al., Math. Numer. Sin. 43, No. 2, 162--176 (2021; Zbl 07404381) Full Text: DOI OpenURL
Li, Ruimin; Guo, Pan; Zhang, Jingfei; Wu, Wenhua; Wang, Fei A time discontinuous Galerkin finite element method for the propagation process of the acoustic wave in water. (Chinese. English summary) Zbl 07403697 Chin. J. Comput. Mech. 38, No. 2, 166-172 (2021). MSC: 76M10 65M60 PDF BibTeX XML Cite \textit{R. Li} et al., Chin. J. Comput. Mech. 38, No. 2, 166--172 (2021; Zbl 07403697) Full Text: DOI OpenURL
Botti, Lorenzo; Botti, Michele; Di Pietro, Daniele A. A hybrid high-order method for multiple-network poroelasticity. (English) Zbl 1470.76050 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 227-258 (2021). MSC: 76M10 76S05 PDF BibTeX XML Cite \textit{L. Botti} et al., SEMA SIMAI Springer Ser. 27, 227--258 (2021; Zbl 1470.76050) Full Text: DOI OpenURL
Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. (English) Zbl 1470.86002 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 159-225 (2021). MSC: 86-08 86A15 74S05 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., SEMA SIMAI Springer Ser. 27, 159--225 (2021; Zbl 1470.86002) Full Text: DOI OpenURL
Cancès, Clément; Droniou, Jérôme; Guichard, Cindy; Manzini, Gianmarco; Olivares, Manuela Bastidas; Pop, Iuliu Sorin Error estimates for the gradient discretisation method on degenerate parabolic equations of porous medium type. (English) Zbl 1470.76097 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 37-72 (2021). MSC: 76S05 76M10 PDF BibTeX XML Cite \textit{C. Cancès} et al., SEMA SIMAI Springer Ser. 27, 37--72 (2021; Zbl 1470.76097) Full Text: DOI OpenURL
Shah, Nirav Vasant; Hess, Martin Wilfried; Rozza, Gianluigi Discontinuous Galerkin model order reduction of geometrically parametrized Stokes equation. (English) Zbl 1475.76061 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 551-561 (2021). MSC: 76M10 65N30 76D07 PDF BibTeX XML Cite \textit{N. V. Shah} et al., Lect. Notes Comput. Sci. Eng. 139, 551--561 (2021; Zbl 1475.76061) Full Text: DOI OpenURL
Majumder, Papri Unified error analysis of discontinuous Galerkin methods for parabolic obstacle problem. (English) Zbl 07396173 Appl. Math., Praha 66, No. 5, 673-699 (2021). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{P. Majumder}, Appl. Math., Praha 66, No. 5, 673--699 (2021; Zbl 07396173) Full Text: DOI OpenURL
van Gestel, R. A. M.; Anthonissen, M. J. H.; Boonkkamp, J. H. M. ten Thije; IJzerman, W. L. An energy conservative hp-method for Liouville’s equation of geometrical optics. (English) Zbl 07395839 J. Sci. Comput. 89, No. 1, Paper No. 27, 35 p. (2021). MSC: 65-XX 35L65 65M70 78A05 PDF BibTeX XML Cite \textit{R. A. M. van Gestel} et al., J. Sci. Comput. 89, No. 1, Paper No. 27, 35 p. (2021; Zbl 07395839) Full Text: DOI OpenURL
Mu, Lin; Ye, Xiu; Zhang, Shangyou Development of pressure-robust discontinuous Galerkin finite element methods for the Stokes problem. (English) Zbl 07395838 J. Sci. Comput. 89, No. 1, Paper No. 26, 25 p. (2021). MSC: 65N15 65N30 76D07 35B45 35J50 PDF BibTeX XML Cite \textit{L. Mu} et al., J. Sci. Comput. 89, No. 1, Paper No. 26, 25 p. (2021; Zbl 07395838) Full Text: DOI OpenURL
Benedusi, Pietro; Ferrari, Paola; Garoni, Carlo; Krause, Rolf; Serra-Capizzano, Stefano Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation. (English) Zbl 07395832 J. Sci. Comput. 89, No. 1, Paper No. 20, 21 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65F08 65M55 65Y05 47B06 80A19 35Q79 PDF BibTeX XML Cite \textit{P. Benedusi} et al., J. Sci. Comput. 89, No. 1, Paper No. 20, 21 p. (2021; Zbl 07395832) Full Text: DOI OpenURL
Zhu, Hongqiang; Wang, Haiyun; Gao, Zhen A new troubled-cell indicator for discontinuous Galerkin methods using K-means clustering. (English) Zbl 07395802 SIAM J. Sci. Comput. 43, No. 4, A3009-A3031 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65L06 65N30 35L65 PDF BibTeX XML Cite \textit{H. Zhu} et al., SIAM J. Sci. Comput. 43, No. 4, A3009--A3031 (2021; Zbl 07395802) Full Text: DOI OpenURL
Bertoluzza, Silvia; Prada, Daniele A polygonal discontinuous Galerkin method with minus one stabilization. (English) Zbl 07395689 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 785-810 (2021). MSC: 65N12 65N30 PDF BibTeX XML Cite \textit{S. Bertoluzza} and \textit{D. Prada}, ESAIM, Math. Model. Numer. Anal. 55, 785--810 (2021; Zbl 07395689) Full Text: DOI arXiv OpenURL
Ern, Alexndre; Vohralík, Martin; Zakerzadeh, Mohammad Guaranteed and robust \(L^2 \)-norm a posteriori error estimates for 1D linear advection problems. (English) Zbl 07395677 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 447-474 (2021). MSC: 65N15 65N30 35F05 PDF BibTeX XML Cite \textit{A. Ern} et al., ESAIM, Math. Model. Numer. Anal. 55, 447--474 (2021; Zbl 07395677) Full Text: DOI OpenURL
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian A local discontinuous Galerkin method for nonlinear parabolic SPDEs. (English) Zbl 07395668 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 187-223 (2021). MSC: 65C30 60H35 PDF BibTeX XML Cite \textit{Y. Li} et al., ESAIM, Math. Model. Numer. Anal. 55, 187--223 (2021; Zbl 07395668) Full Text: DOI OpenURL
He, Limin; Han, Weimin; Wang, Fei On a family of discontinuous Galerkin fully-discrete schemes for the wave equation. (English) Zbl 07394338 Comput. Appl. Math. 40, No. 2, Paper No. 56, 24 p. (2021). MSC: 65N30 49J40 PDF BibTeX XML Cite \textit{L. He} et al., Comput. Appl. Math. 40, No. 2, Paper No. 56, 24 p. (2021; Zbl 07394338) Full Text: DOI OpenURL
Guillén-Gonzàlez, Francisco; Redondo-Neble, M. Victoria; Rodríguez-Galvàn, J. Rafael Numerical analysis of a stable discontinuous Galerkin scheme for the hydrostatic Stokes problem. (English) Zbl 07394126 J. Numer. Math. 29, No. 2, 103-118 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M12 76D07 76U05 86A05 35Q35 35Q86 PDF BibTeX XML Cite \textit{F. Guillén-Gonzàlez} et al., J. Numer. Math. 29, No. 2, 103--118 (2021; Zbl 07394126) Full Text: DOI OpenURL
Hedayati Nasab, Siavash; Pereira, Carlos A.; Vermeire, Brian C. Optimal Runge-Kutta stability polynomials for multidimensional high-order methods. (English) Zbl 07394061 J. Sci. Comput. 89, No. 1, Paper No. 11, 30 p. (2021). MSC: 65Mxx 65Lxx 35Lxx PDF BibTeX XML Cite \textit{S. Hedayati Nasab} et al., J. Sci. Comput. 89, No. 1, Paper No. 11, 30 p. (2021; Zbl 07394061) Full Text: DOI OpenURL
Sheng, Qiwei; Hauck, Cory D. Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering. (English) Zbl 07390212 Math. Comput. 90, No. 332, 2645-2669 (2021). MSC: 65N12 65N30 35B40 35B45 35L40 PDF BibTeX XML Cite \textit{Q. Sheng} and \textit{C. D. Hauck}, Math. Comput. 90, No. 332, 2645--2669 (2021; Zbl 07390212) Full Text: DOI OpenURL
Bartels, Sören Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations. (English) Zbl 07390210 Math. Comput. 90, No. 332, 2579-2602 (2021). MSC: 65N12 65N15 65N30 PDF BibTeX XML Cite \textit{S. Bartels}, Math. Comput. 90, No. 332, 2579--2602 (2021; Zbl 07390210) 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 07389378 J. Sci. Comput. 88, No. 3, Paper No. 81, 24 p. (2021). MSC: 65M12 65M60 PDF BibTeX XML Cite \textit{J. Yang} and \textit{Y. Su}, J. Sci. Comput. 88, No. 3, Paper No. 81, 24 p. (2021; Zbl 07389378) Full Text: DOI OpenURL
Tao, Qi; Cao, Waixiang; Zhang, Zhimin Superconvergence analysis of the ultra-weak local discontinuous Galerkin method for one dimensional linear fifth order equations. (English) Zbl 07389360 J. Sci. Comput. 88, No. 3, Paper No. 63, 38 p. (2021). MSC: 65Mxx 65Nxx 35Lxx PDF BibTeX XML Cite \textit{Q. Tao} et al., J. Sci. Comput. 88, No. 3, Paper No. 63, 38 p. (2021; Zbl 07389360) Full Text: DOI OpenURL
Ma, Limin Superconvergence of discontinuous Galerkin methods for elliptic boundary value problems. (English) Zbl 07389359 J. Sci. Comput. 88, No. 3, Paper No. 62, 20 p. (2021). MSC: 65Nxx 35Jxx 74Sxx PDF BibTeX XML Cite \textit{L. Ma}, J. Sci. Comput. 88, No. 3, Paper No. 62, 20 p. (2021; Zbl 07389359) Full Text: DOI OpenURL