Hou, Shijin; Xia, Yinhua Discontinuous Galerkin method based on the reduced space for the nonlinear convection-diffusion-reaction equation. (English) Zbl 07818684 J. Sci. Comput. 99, No. 1, Paper No. 19, 25 p. (2024). MSC: 65M60 65M06 65N30 35A01 35A02 76V05 76R50 PDFBibTeX XMLCite \textit{S. Hou} and \textit{Y. Xia}, J. Sci. Comput. 99, No. 1, Paper No. 19, 25 p. (2024; Zbl 07818684) Full Text: DOI arXiv
Gao, Hecong; Liang, Hui On the convergence of discontinuous Galerkin methods for integral-algebraic equations of index 1. (English) Zbl 07815391 Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2092-2109 (2024). MSC: 65R20 45L05 PDFBibTeX XMLCite \textit{H. Gao} and \textit{H. Liang}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2092--2109 (2024; Zbl 07815391) Full Text: DOI
Valseth, Eirik; Behnoudfar, Pouria; Dawson, Clint; Romkes, Albert Automatic variationally stable analysis for finite element computations: transient convection-diffusion problems. (English) Zbl 07813433 Comput. Math. Appl. 157, 15-26 (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{E. Valseth} et al., Comput. Math. Appl. 157, 15--26 (2024; Zbl 07813433) Full Text: DOI arXiv
Hong, Xue; Qiu, Jing-Mei A conservative Eulerian-Lagrangian Runge-Kutta discontinuous Galerkin method for linear hyperbolic system with large time stepping. (English) Zbl 07812554 J. Sci. Comput. 98, No. 3, Paper No. 70, 32 p. (2024). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65L06 65M20 65M25 35L02 76W05 76B15 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{X. Hong} and \textit{J.-M. Qiu}, J. Sci. Comput. 98, No. 3, Paper No. 70, 32 p. (2024; Zbl 07812554) Full Text: DOI arXiv
Huang, Jiandong; Yang, Dinghui; He, Xijun A unified higher-order unsplit CFS-PML technique for solving second-order seismic equations using discontinuous Galerkin method. (English) Zbl 07811345 J. Comput. Phys. 500, Article ID 112776, 22 p. (2024). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{J. Huang} et al., J. Comput. Phys. 500, Article ID 112776, 22 p. (2024; Zbl 07811345) Full Text: DOI
Ricardo, Kieran; Lee, Dave; Duru, Kenneth Conservation and stability in a discontinuous Galerkin method for the vector invariant spherical shallow water equations. (English) Zbl 07811344 J. Comput. Phys. 500, Article ID 112763, 15 p. (2024). MSC: 65Mxx 76Mxx 86Axx PDFBibTeX XMLCite \textit{K. Ricardo} et al., J. Comput. Phys. 500, Article ID 112763, 15 p. (2024; Zbl 07811344) Full Text: DOI arXiv
Ersing, Patrick; Winters, Andrew R. An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes. (English) Zbl 07807895 J. Sci. Comput. 98, No. 3, Paper No. 62, 35 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M70 65M60 65M06 65L06 65N35 65N30 65D32 65M12 76B15 76T06 86A05 76M22 35L50 35Q30 PDFBibTeX XMLCite \textit{P. Ersing} and \textit{A. R. Winters}, J. Sci. Comput. 98, No. 3, Paper No. 62, 35 p. (2024; Zbl 07807895) Full Text: DOI arXiv OA License
Rachowicz, Waldemar; Cecot, Witold; Zdunek, Adam An adaptive two-grid solver for DPG formulation of compressible Navier-Stokes equations in 3D. (English) Zbl 07804038 Comput. Methods Appl. Math. 24, No. 1, 141-172 (2024). MSC: 65L60 35M33 PDFBibTeX XMLCite \textit{W. Rachowicz} et al., Comput. Methods Appl. Math. 24, No. 1, 141--172 (2024; Zbl 07804038) Full Text: DOI
Zhao, Zhuang; Qiu, Jianxian An oscillation-free Hermite WENO scheme for hyperbolic conservation laws. (English) Zbl 07803272 Sci. China, Math. 67, No. 2, 431-454 (2024). MSC: 65L60 35L65 65M08 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{J. Qiu}, Sci. China, Math. 67, No. 2, 431--454 (2024; Zbl 07803272) Full Text: DOI
Guo, Ruihan; Xu, Yan Semi-implicit spectral deferred correction methods based on second-order time integration schemes for nonlinear PDEs. (English) Zbl 07803024 J. Comput. Math. 42, No. 1, 111-133 (2024). MSC: 65M60 35L75 35G25 PDFBibTeX XMLCite \textit{R. Guo} and \textit{Y. Xu}, J. Comput. Math. 42, No. 1, 111--133 (2024; Zbl 07803024) Full Text: DOI
Wang, Haijin; Xu, Anping; Tao, Qi Analysis of the implicit-explicit ultra-weak discontinuous Galerkin method for convection-diffusion problems. (English) Zbl 07803020 J. Comput. Math. 42, No. 1, 1-23 (2024). MSC: 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Comput. Math. 42, No. 1, 1--23 (2024; Zbl 07803020) Full Text: DOI
Lakiss, Alaa; Heuzé, Thomas; Tannous, Mikhael; Stainier, Laurent ADER discontinuous Galerkin material point method. (English) Zbl 07801042 Int. J. Numer. Methods Eng. 125, No. 1, Article ID e7365, 26 p. (2024). MSC: 65M60 65L06 65K10 74B20 74S05 PDFBibTeX XMLCite \textit{A. Lakiss} et al., Int. J. Numer. Methods Eng. 125, No. 1, Article ID e7365, 26 p. (2024; Zbl 07801042) Full Text: DOI
Li, Yaping; Zhao, Weidong; Zhao, Wenju Spatio-temporal scalar auxiliary variable approach for the nonlinear convection-diffusion equation with discontinuous Galerkin method. (English) Zbl 07798413 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23061, 29 p. (2024). MSC: 65M60 65M15 35Q35 76M10 PDFBibTeX XMLCite \textit{Y. Li} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23061, 29 p. (2024; Zbl 07798413) Full Text: DOI
Wu, Siyu; Bai, Jinwei; He, Xiaoming; Zhao, Ren; Cao, Yong An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery. (English) Zbl 07797671 J. Comput. Phys. 498, Article ID 112703, 22 p. (2024). MSC: 65Nxx 35Jxx 35Rxx PDFBibTeX XMLCite \textit{S. Wu} et al., J. Comput. Phys. 498, Article ID 112703, 22 p. (2024; Zbl 07797671) Full Text: DOI
Crouseilles, Nicolas; Hong, Xue Exponential DG methods for Vlasov equations. (English) Zbl 07797661 J. Comput. Phys. 498, Article ID 112682, 28 p. (2024). MSC: 65Mxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{N. Crouseilles} and \textit{X. Hong}, J. Comput. Phys. 498, Article ID 112682, 28 p. (2024; Zbl 07797661) Full Text: DOI arXiv
Lepe, Felipe; Mora, David; Vellojin, Jesus Discontinuous Galerkin methods for the acoustic vibration problem. (English) Zbl 07797203 J. Comput. Appl. Math. 441, Article ID 115700, 21 p. (2024). MSC: 65N25 65N30 65N12 65N15 76Q05 76B03 70J30 76M10 35A15 35Q35 PDFBibTeX XMLCite \textit{F. Lepe} et al., J. Comput. Appl. Math. 441, Article ID 115700, 21 p. (2024; Zbl 07797203) Full Text: DOI arXiv
Ye, Xiu; Zhang, Shangyou Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations. (English) Zbl 07796534 Adv. Comput. Math. 50, No. 1, Paper No. 2, 17 p. (2024). MSC: 65N30 65N50 65N12 65N15 35J15 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Adv. Comput. Math. 50, No. 1, Paper No. 2, 17 p. (2024; Zbl 07796534) Full Text: DOI
Cissé, Amadou; Boutayeb, Mohamed On state feedback control of a class of nonlinear PDE systems in finite dimension. (English) Zbl 07793558 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107751, 14 p. (2024). MSC: 35Q83 35Q83 65M60 65L06 65M12 65M15 93B52 93B07 35B40 35C09 35A01 35A02 PDFBibTeX XMLCite \textit{A. Cissé} and \textit{M. Boutayeb}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107751, 14 p. (2024; Zbl 07793558) Full Text: DOI
Camargo, Liliana; López-Rodríguez, Bibiana; Osorio, Mauricio; Solano, Manuel An adaptive and quasi-periodic HDG method for Maxwell’s equations in heterogeneous media. (English) Zbl 07784041 J. Sci. Comput. 98, No. 1, Paper No. 7, 32 p. (2024). MSC: 65N30 65N12 65N15 78A25 78M10 31A30 35Q61 PDFBibTeX XMLCite \textit{L. Camargo} et al., J. Sci. Comput. 98, No. 1, Paper No. 7, 32 p. (2024; Zbl 07784041) Full Text: DOI OA License
Wang, Fan; Tao, Qi; Xu, Yan The local discontinuous Galerkin method for the nonlinear quantum Zakharov system. (English) Zbl 1519.65042 J. Comput. Appl. Math. 436, Article ID 115416, 24 p. (2024). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{F. Wang} et al., J. Comput. Appl. Math. 436, Article ID 115416, 24 p. (2024; Zbl 1519.65042) Full Text: DOI
Tian, Lulu; Chuenjarern, Nattaporn; Guo, Hui; Yang, Yang Maximum-principle-preserving high-order discontinuous Galerkin methods for incompressible Euler equations on overlapping meshes. (English) Zbl 1528.76045 J. Comput. Appl. Math. 436, Article ID 115408, 18 p. (2024). MSC: 76M10 65M60 76B47 PDFBibTeX XMLCite \textit{L. Tian} et al., J. Comput. Appl. Math. 436, Article ID 115408, 18 p. (2024; Zbl 1528.76045) Full Text: DOI
Tang, Ming; Xing, Xiaoqing; Zhong, Liuqiang A posteriori error estimator for mixed interior penalty discontinuous Galerkin finite element method for the \(\boldsymbol{H}(\operatorname{curl})\)-elliptic problems. (English) Zbl 1522.65227 J. Comput. Appl. Math. 436, Article ID 115407, 17 p. (2024). MSC: 65N30 65N50 65N15 35A15 35B25 78A30 78M10 35Q60 PDFBibTeX XMLCite \textit{M. Tang} et al., J. Comput. Appl. Math. 436, Article ID 115407, 17 p. (2024; Zbl 1522.65227) Full Text: DOI arXiv
Chen, Yan; Li, Ruo; Liu, Qicheng An arbitrary order reconstructed discontinuous approximation to biharmonic interface problem. (English) Zbl 07814781 Ann. Appl. Math. 39, No. 2, 149-180 (2023). MSC: 65N30 PDFBibTeX XMLCite \textit{Y. Chen} et al., Ann. Appl. Math. 39, No. 2, 149--180 (2023; Zbl 07814781) Full Text: DOI arXiv
Meddahi, Salim An \(hp\) error analysis of a hybrid discontinuous mixed Galerkin method for linear viscoelasticity. (English) Zbl 07805003 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116452, 18 p. (2023). MSC: 65M30 65M12 65M15 74H15 PDFBibTeX XMLCite \textit{S. Meddahi}, Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116452, 18 p. (2023; Zbl 07805003) Full Text: DOI
Birke, Gunnar; Engwer, Christian; May, Sandra; Streitbürger, Florian Domain of dependence stabilization for the acoustic wave equation on 2D cut-cell meshes. (English) Zbl 07803005 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 53-61 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76Q05 PDFBibTeX XMLCite \textit{G. Birke} et al., Springer Proc. Math. Stat. 433, 53--61 (2023; Zbl 07803005) Full Text: DOI arXiv
Antonietti, Paola F.; Bonizzoni, Francesca; Verani, Marco A cVEM-DG space-time method for the dissipative wave equation. (English) Zbl 07801662 Comput. Math. Appl. 152, 341-354 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Comput. Math. Appl. 152, 341--354 (2023; Zbl 07801662) Full Text: DOI arXiv
Baccouch, Mahboub A posteriori error estimates for a local discontinuous Galerkin approximation of semilinear second-order elliptic problems on Cartesian grids. (English) Zbl 07793825 Int. J. Numer. Anal. Model. 20, No. 6, 772-804 (2023). MSC: 65N12 65N15 65N30 65N50 PDFBibTeX XMLCite \textit{M. Baccouch}, Int. J. Numer. Anal. Model. 20, No. 6, 772--804 (2023; Zbl 07793825) Full Text: DOI
Baccouch, Mahboub A posteriori error analysis for an ultra-weak discontinuous Galerkin approximations of nonlinear second-order two-point boundary-value problems. (English) Zbl 07793818 Int. J. Numer. Anal. Model. 20, No. 5, 618-646 (2023). MSC: 65L10 65L60 65L70 PDFBibTeX XMLCite \textit{M. Baccouch}, Int. J. Numer. Anal. Model. 20, No. 5, 618--646 (2023; Zbl 07793818) Full Text: DOI
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela A priori and a posteriori error analysis for semilinear problems in liquid crystals. (English) Zbl 07792485 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3201-3250 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 35J15 35J60 65N12 65N15 35B45 35B65 31A30 76A15 82D30 76M10 35Q35 PDFBibTeX XMLCite \textit{R. R. Maity} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3201--3250 (2023; Zbl 07792485) Full Text: DOI
Lei, Wenyu Numerical modeling of anisotropic ferroelectric materials with hybridizable discontinuous Galerkin methods. (English) Zbl 07789843 Math. Methods Appl. Sci. 46, No. 16, 17522-17543 (2023). MSC: 65N30 35A01 35A02 65M60 PDFBibTeX XMLCite \textit{W. Lei}, Math. Methods Appl. Sci. 46, No. 16, 17522--17543 (2023; Zbl 07789843) Full Text: DOI arXiv
Heimann, Fabian; Lehrenfeld, Christoph; Stocker, Paul; von Wahl, Henry Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems. (English) Zbl 07787597 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2803-2833 (2023). MSC: 65N30 65N85 41A30 PDFBibTeX XMLCite \textit{F. Heimann} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2803--2833 (2023; Zbl 07787597) Full Text: DOI arXiv
Gu, Xiaolu; Cheng, Juan; Shu, Chi-Wang A high order positivity-preserving discontinuous Galerkin remapping method based on a moving mesh solver for ALE simulation of the compressible fluid flow. (English) Zbl 07787318 Commun. Comput. Phys. 34, No. 5, 1177-1214 (2023). MSC: 65M60 35Q31 PDFBibTeX XMLCite \textit{X. Gu} et al., Commun. Comput. Phys. 34, No. 5, 1177--1214 (2023; Zbl 07787318) Full Text: DOI
Zhang, Fengrui; Peet, Yulia T. Discontinuous Galerkin spectral element method for shock capturing with summation by parts properties. (English) Zbl 07785566 J. Comput. Phys.: X 17, Article ID 100123, 26 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{F. Zhang} and \textit{Y. T. Peet}, J. Comput. Phys.: X 17, Article ID 100123, 26 p. (2023; Zbl 07785566) Full Text: DOI
Zhan, Jiajun; Zhong, Liuqiang; Peng, Jie Iterative two-grid methods for discontinuous Galerkin finite element approximations of semilinear elliptic problem. (English) Zbl 07785130 Adv. Comput. Math. 49, No. 6, Paper No. 84, 22 p. (2023). MSC: 65N30 65N55 65N50 65N12 65N15 35J61 35A15 41A58 PDFBibTeX XMLCite \textit{J. Zhan} et al., Adv. Comput. Math. 49, No. 6, Paper No. 84, 22 p. (2023; Zbl 07785130) Full Text: DOI
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
Sun, Lingling; Bi, Hai; Yang, Yidu The discontinuous Galerkin and the nonconforming ECR element approximations for an MHD Stokes eigenvalue problem. (English) Zbl 07782156 Math. Methods Appl. Sci. 46, No. 5, 6154-6176 (2023). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{L. Sun} et al., Math. Methods Appl. Sci. 46, No. 5, 6154--6176 (2023; Zbl 07782156) Full Text: DOI
Baharlouei, S.; Mokhtari, R.; Chegini, N. Solving two-dimensional coupled Burgers equations via a stable hybridized discontinuous Galerkin method. (English) Zbl 07780456 Iran. J. Numer. Anal. Optim. 13, No. 3, 397-425 (2023). MSC: 65L10 65K15 PDFBibTeX XMLCite \textit{S. Baharlouei} et al., Iran. J. Numer. Anal. Optim. 13, No. 3, 397--425 (2023; Zbl 07780456) Full Text: DOI
Yang, Xu; Zhao, Weidong; Zhao, Wenju Strong optimal error estimates of discontinuous Galerkin method for multiplicative noise driving nonlinear SPDEs. (English) Zbl 07776998 Numer. Methods Partial Differ. Equations 39, No. 3, 2073-2095 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Yang} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2073--2095 (2023; Zbl 07776998) Full Text: DOI
Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane Simulation of the interaction of light with 3-D metallic nanostructures using a proper orthogonal decomposition-Galerkin reduced-order discontinuous Galerkin time-domain method. (English) Zbl 07776946 Numer. Methods Partial Differ. Equations 39, No. 2, 932-954 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{K. Li} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 932--954 (2023; Zbl 07776946) Full Text: DOI
van der Sande, Kiera; Appelö, Daniel; Albin, Nathan Fourier continuation discontinuous Galerkin methods for linear hyperbolic problems. (English) Zbl 07776121 Commun. Appl. Math. Comput. 5, No. 4, 1385-1405 (2023). MSC: 65M60 65M06 PDFBibTeX XMLCite \textit{K. van der Sande} et al., Commun. Appl. Math. Comput. 5, No. 4, 1385--1405 (2023; Zbl 07776121) Full Text: DOI arXiv
Li, Changpin; Li, Dongxia; Wang, Zhen L1/LDG method for the generalized time-fractional Burgers equation in two spatial dimensions. (English) Zbl 07776117 Commun. Appl. Math. Comput. 5, No. 4, 1299-1322 (2023). MSC: 65M60 35R11 26A33 PDFBibTeX XMLCite \textit{C. Li} et al., Commun. Appl. Math. Comput. 5, No. 4, 1299--1322 (2023; Zbl 07776117) Full Text: DOI
Anees, Asad; Angermann, Lutz An energy stable discontinuous Galerkin time-domain finite element method in optics and photonics. (English) Zbl 07773395 Results Appl. Math. 19, Article ID 100393, 22 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 78A60 78M10 78M20 35Q61 PDFBibTeX XMLCite \textit{A. Anees} and \textit{L. Angermann}, Results Appl. Math. 19, Article ID 100393, 22 p. (2023; Zbl 07773395) Full Text: DOI arXiv
Badrkhani, Vahid; Hiemstra, René R.; Mika, Michał; Schillinger, Dominik A matrix-free macro-element variant of the hybridized discontinuous Galerkin method. (English) Zbl 07772318 Int. J. Numer. Methods Eng. 124, No. 20, 4427-4452 (2023). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{V. Badrkhani} et al., Int. J. Numer. Methods Eng. 124, No. 20, 4427--4452 (2023; Zbl 07772318) Full Text: DOI arXiv OA License
Pradhan, Aniruddhe; Duraisamy, Karthik Variational multiscale super-resolution: a data-driven approach for reconstruction and predictive modeling of unresolved physics. (English) Zbl 07772314 Int. J. Numer. Methods Eng. 124, No. 19, 4339-4370 (2023). MSC: 76Mxx 76Fxx 76Dxx PDFBibTeX XMLCite \textit{A. Pradhan} and \textit{K. Duraisamy}, Int. J. Numer. Methods Eng. 124, No. 19, 4339--4370 (2023; Zbl 07772314) Full Text: DOI arXiv OA License
Lehrenfeld, Christoph; Stocker, Paul Embedded Trefftz discontinuous Galerkin methods. (English) Zbl 07772283 Int. J. Numer. Methods Eng. 124, No. 17, 3637-3661 (2023). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{C. Lehrenfeld} and \textit{P. Stocker}, Int. J. Numer. Methods Eng. 124, No. 17, 3637--3661 (2023; Zbl 07772283) Full Text: DOI arXiv OA License
Kou, Jiaqing; Marino, Oscar A.; Ferrer, Esteban Jump penalty stabilization techniques for under-resolved turbulence in discontinuous Galerkin schemes. (English) Zbl 07771306 J. Comput. Phys. 491, Article ID 112399, 25 p. (2023). MSC: 65Mxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{J. Kou} et al., J. Comput. Phys. 491, Article ID 112399, 25 p. (2023; Zbl 07771306) Full Text: DOI arXiv
Reddy, Sohail; Waruszewski, Maciej; de Braganca Alves, Felipe A. V.; Giraldo, Francis X. Schur complement IMplicit-EXplicit formulations for discontinuous Galerkin non-hydrostatic atmospheric models. (English) Zbl 07771278 J. Comput. Phys. 491, Article ID 112361, 28 p. (2023). MSC: 65Mxx 76Mxx 35Qxx PDFBibTeX XMLCite \textit{S. Reddy} et al., J. Comput. Phys. 491, Article ID 112361, 28 p. (2023; Zbl 07771278) Full Text: DOI arXiv
Heinz, Johannes; Munch, Peter; Kaltenbacher, Manfred High-order non-conforming discontinuous Galerkin methods for the acoustic conservation equations. (English) Zbl 07769148 Int. J. Numer. Methods Eng. 124, No. 9, 2034-2049 (2023). MSC: 65Mxx 74Sxx 35Lxx PDFBibTeX XMLCite \textit{J. Heinz} et al., Int. J. Numer. Methods Eng. 124, No. 9, 2034--2049 (2023; Zbl 07769148) Full Text: DOI arXiv OA License
Vacek, Lukáš; Kučera, Václav Godunov-like numerical fluxes for conservation laws on networks. (English) Zbl 1526.65047 J. Sci. Comput. 97, No. 3, Paper No. 70, 27 p. (2023). MSC: 65M60 65M06 65N30 76A30 90B20 35L04 35L65 35Q90 35R02 PDFBibTeX XMLCite \textit{L. Vacek} and \textit{V. Kučera}, J. Sci. Comput. 97, No. 3, Paper No. 70, 27 p. (2023; Zbl 1526.65047) Full Text: DOI arXiv
Zhang, Hongjuan; Wu, Boying; Meng, Xiong Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems. (English) Zbl 1528.65085 Sci. China, Math. 66, No. 11, 2641-2664 (2023). MSC: 65M60 65M12 65M15 76R50 PDFBibTeX XMLCite \textit{H. Zhang} et al., Sci. China, Math. 66, No. 11, 2641--2664 (2023; Zbl 1528.65085) Full Text: DOI arXiv
Han, Yongbin; Hou, Yanren Analysis of an embedded-hybridized discontinuous Galerkin method for the time-dependent incompressible Navier-Stokes equations. (English) Zbl 07761544 J. Sci. Comput. 97, No. 3, Paper No. 56, 19 p. (2023). MSC: 65Mxx 76Dxx 76Mxx PDFBibTeX XMLCite \textit{Y. Han} and \textit{Y. Hou}, J. Sci. Comput. 97, No. 3, Paper No. 56, 19 p. (2023; Zbl 07761544) Full Text: DOI
Bendali, A. Dispersion reduction in Feng and Wu’s IPDG method. (English) Zbl 07761346 Comput. Methods Appl. Mech. Eng. 416, Article ID 116388, 17 p. (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{A. Bendali}, Comput. Methods Appl. Mech. Eng. 416, Article ID 116388, 17 p. (2023; Zbl 07761346) Full Text: DOI
Galindo-Olarte, Andrés; Huang, Juntao; Ryan, Jennifer; Cheng, Yingda Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations. (English) Zbl 07760988 BIT 63, No. 4, Paper No. 52, 34 p. (2023). Reviewer: Nicolae Cîndea (Aubière) MSC: 65M60 65M20 65L06 65M12 65M15 82D10 78A25 35Q83 35Q60 35R60 PDFBibTeX XMLCite \textit{A. Galindo-Olarte} et al., BIT 63, No. 4, Paper No. 52, 34 p. (2023; Zbl 07760988) Full Text: DOI arXiv
Bai, Xiao; Li, Maojun A conservative sharp-interface numerical method for two-dimensional compressible two-phase flows. (English) Zbl 1526.65044 J. Sci. Comput. 97, No. 2, Paper No. 30, 32 p. (2023). MSC: 65M60 65M06 65N30 65L06 65M12 65M15 76T06 76T10 76N06 76N10 76M10 76M20 PDFBibTeX XMLCite \textit{X. Bai} and \textit{M. Li}, J. Sci. Comput. 97, No. 2, Paper No. 30, 32 p. (2023; Zbl 1526.65044) Full Text: DOI
Hu, Jingyan; Zhou, Guanyu The well-posedness and discontinuous Galerkin approximation for the non-Newtonian Stokes-Darcy-Forchheimer coupling system. (English) Zbl 07751605 J. Sci. Comput. 97, No. 1, Paper No. 24, 33 p. (2023). MSC: 65Nxx 76Sxx 76Mxx PDFBibTeX XMLCite \textit{J. Hu} and \textit{G. Zhou}, J. Sci. Comput. 97, No. 1, Paper No. 24, 33 p. (2023; Zbl 07751605) Full Text: DOI
Gális, Petr; Mikyška, Jiří Mathematical modeling of the multicomponent flow in porous media using higher-order methods. (English) Zbl 07748054 J. Comput. Phys. 493, Article ID 112468, 39 p. (2023). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{P. Gális} and \textit{J. Mikyška}, J. Comput. Phys. 493, Article ID 112468, 39 p. (2023; Zbl 07748054) Full Text: DOI
Bosnyakov, S. M.; Wolkov, A. V.; Mikhaĭlov, S. V.; Podaruev, V. Yu. A high-order accuracy method for calculating the initial icing stage of civil aircraft structural elements. (Russian. English summary) Zbl 1523.76059 Mat. Model. 35, No. 9, 22-44 (2023). MSC: 76M10 76T99 76T10 86A40 PDFBibTeX XMLCite \textit{S. M. Bosnyakov} et al., Mat. Model. 35, No. 9, 22--44 (2023; Zbl 1523.76059) Full Text: DOI MNR
Zhang, Fan; Cheng, Jian Analysis on physical-constraint-preserving high-order discontinuous Galerkin method for solving Kapila’s five-equation model. (English) Zbl 07742903 J. Comput. Phys. 492, Article ID 112417, 26 p. (2023). MSC: 65Mxx 76Mxx 76Txx PDFBibTeX XMLCite \textit{F. Zhang} and \textit{J. Cheng}, J. Comput. Phys. 492, Article ID 112417, 26 p. (2023; Zbl 07742903) Full Text: DOI
Thomann, Andrea; Dumbser, Michael Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities. (English) Zbl 07742008 J. Sci. Comput. 97, No. 1, Paper No. 9, 33 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{A. Thomann} and \textit{M. Dumbser}, J. Sci. Comput. 97, No. 1, Paper No. 9, 33 p. (2023; Zbl 07742008) Full Text: DOI
Gómez, Sergio; Moiola, Andrea; Perugia, Ilaria; Stocker, Paul On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation. (English) Zbl 07741242 Appl. Math. Lett. 146, Article ID 108824, 10 p. (2023). MSC: 65Mxx 78Mxx 41Axx PDFBibTeX XMLCite \textit{S. Gómez} et al., Appl. Math. Lett. 146, Article ID 108824, 10 p. (2023; Zbl 07741242) Full Text: DOI arXiv
Kaltenbach, Alex; Růžička, Michael Convergence analysis of a local discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure. (English) Zbl 1522.35226 ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1381-1411 (2023). MSC: 35J57 35J92 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{A. Kaltenbach} and \textit{M. Růžička}, ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1381--1411 (2023; Zbl 1522.35226) Full Text: DOI arXiv
Singh, Satyvir Investigation of aspect ratio effects on flow characteristics and vorticity generation in shock-induced rectangular bubble. (English) Zbl 1522.76100 Eur. J. Mech., B, Fluids 101, 131-148 (2023). MSC: 76T10 76L05 76E17 76M10 PDFBibTeX XMLCite \textit{S. Singh}, Eur. J. Mech., B, Fluids 101, 131--148 (2023; Zbl 1522.76100) Full Text: DOI
Maji, Sandip; Natesan, Srinivasan Nonsymmetric interior penalty Galerkin method for nonlinear time-fractional integro-partial differential equations. (English) Zbl 07736732 Math. Comput. Simul. 213, 1-17 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{S. Maji} and \textit{S. Natesan}, Math. Comput. Simul. 213, 1--17 (2023; Zbl 07736732) Full Text: DOI
Bajpai, Saumya; Goswami, Deepjyoti; Ray, Kallol A priori error estimates of a discontinuous Galerkin method for the Navier-Stokes equations. (English) Zbl 07736714 Numer. Algorithms 94, No. 2, 937-1002 (2023). MSC: 65Nxx PDFBibTeX XMLCite \textit{S. Bajpai} et al., Numer. Algorithms 94, No. 2, 937--1002 (2023; Zbl 07736714) Full Text: DOI
Yang, Jiming; Zhou, Jing A two-grid combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem. (English) Zbl 07736707 Numer. Algorithms 94, No. 2, 733-763 (2023). MSC: 65M60 65M55 65M50 65H10 65M12 65M15 76N10 76S05 35Q35 PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Zhou}, Numer. Algorithms 94, No. 2, 733--763 (2023; Zbl 07736707) Full Text: DOI
Zhao, Ming; Wei, Tong; Hao, Shixi; Ding, Qiushi; Liu, Wei; Li, Xiaojian; Liu, Zhengxian Turbulence simulations with an improved interior penalty discontinuous Galerkin method and SST k-\(\omega\) model. (English) Zbl 1521.76182 Comput. Fluids 263, Article ID 105967, 14 p. (2023). MSC: 76F60 76M10 65M60 PDFBibTeX XMLCite \textit{M. Zhao} et al., Comput. Fluids 263, Article ID 105967, 14 p. (2023; Zbl 1521.76182) Full Text: DOI
Kopteva, Natalia; Rankin, Richard Pointwise a posteriori error estimates for discontinuous Galerkin methods for singularly perturbed reaction-diffusion equations. (English) Zbl 07734834 SIAM J. Numer. Anal. 61, No. 4, 1938-1961 (2023). MSC: 65N30 65N15 35B25 35K57 PDFBibTeX XMLCite \textit{N. Kopteva} and \textit{R. Rankin}, SIAM J. Numer. Anal. 61, No. 4, 1938--1961 (2023; Zbl 07734834) Full Text: DOI
Baccouch, Mahboub A superconvergent ultra-weak discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems. (English) Zbl 1518.65076 J. Appl. Math. Comput. 69, No. 2, 1507-1539 (2023). MSC: 65L10 65L60 65L70 PDFBibTeX XMLCite \textit{M. Baccouch}, J. Appl. Math. Comput. 69, No. 2, 1507--1539 (2023; Zbl 1518.65076) Full Text: DOI
Giani, Stefano; Engström, Christian; Grubišić, Luka \(khp\)-adaptive spectral projection based discontinuous Galerkin method for the numerical solution of wave equations with memory. (English) Zbl 07732712 J. Comput. Appl. Math. 429, Article ID 115212, 19 p. (2023). MSC: 65Nxx 35Pxx 65Rxx PDFBibTeX XMLCite \textit{S. Giani} et al., J. Comput. Appl. Math. 429, Article ID 115212, 19 p. (2023; Zbl 07732712) Full Text: DOI
Carstensen, Carsten; Nataraj, Neela; Remesan, Gopikrishnan C.; Shylaja, Devika Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems. (English) Zbl 1522.65200 Numer. Math. 154, No. 3-4, 323-368 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N50 35J61 76D05 35Q30 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Numer. Math. 154, No. 3--4, 323--368 (2023; Zbl 1522.65200) Full Text: DOI arXiv
Wang, Haijin; Li, Fengyan; Shu, Chi-Wang; Zhang, Qiang Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. (English) Zbl 07729920 Math. Comput. 92, No. 344, 2475-2513 (2023). MSC: 65M60 65M06 65N30 65M12 PDFBibTeX XMLCite \textit{H. Wang} et al., Math. Comput. 92, No. 344, 2475--2513 (2023; Zbl 07729920) Full Text: DOI
Baharlouei, Sh.; Mokhtari, R. A stable and convergent hybridized discontinuous Galerkin method for time-fractional telegraph equations. (English) Zbl 1522.65167 Numer. Funct. Anal. Optim. 44, No. 11, 1175-1193 (2023). MSC: 65M60 65M06 65N30 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{Sh. Baharlouei} and \textit{R. Mokhtari}, Numer. Funct. Anal. Optim. 44, No. 11, 1175--1193 (2023; Zbl 1522.65167) Full Text: DOI
Lepe, Felipe Interior penalty discontinuous Galerkin methods for the velocity-pressure formulation of the Stokes spectral problem. (English) Zbl 1520.35120 Adv. Comput. Math. 49, No. 4, Paper No. 61, 31 p. (2023). MSC: 35Q35 65N15 65N25 65N30 76D07 PDFBibTeX XMLCite \textit{F. Lepe}, Adv. Comput. Math. 49, No. 4, Paper No. 61, 31 p. (2023; Zbl 1520.35120) Full Text: DOI
Liu, Kaifang; Gallistl, Dietmar; Schlottbom, Matthias; van der Vegt, J. J. W. Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements. (English) Zbl 07726064 IMA J. Numer. Anal. 43, No. 4, 2320-2351 (2023). MSC: 65Nxx PDFBibTeX XMLCite \textit{K. Liu} et al., IMA J. Numer. Anal. 43, No. 4, 2320--2351 (2023; Zbl 07726064) Full Text: DOI arXiv
Musch, Markus; Rupp, Andreas; Aizinger, Vadym; Knabner, Peter Hybridizable discontinuous Galerkin method with mixed-order spaces for nonlinear diffusion equations with internal jumps. (English) Zbl 1517.65089 GEM. Int. J. Geomath. 14, Paper No. 18, 25 p. (2023). MSC: 65M60 65M12 76S05 PDFBibTeX XMLCite \textit{M. Musch} et al., GEM. Int. J. Geomath. 14, Paper No. 18, 25 p. (2023; Zbl 1517.65089) Full Text: DOI
Yan, Li; Wang, Zhoufeng; Cheng, Yao Local discontinuous Galerkin method for a third-order singularly perturbed problem of convection-diffusion type. (English) Zbl 1517.65120 Comput. Methods Appl. Math. 23, No. 3, 751-766 (2023). MSC: 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{L. Yan} et al., Comput. Methods Appl. Math. 23, No. 3, 751--766 (2023; Zbl 1517.65120) Full Text: DOI arXiv
Jang, Yongseok; Shaw, Simon A priori analysis of a symmetric interior penalty discontinuous Galerkin finite element method for a dynamic linear viscoelasticity model. (English) Zbl 1519.74069 Comput. Methods Appl. Math. 23, No. 3, 647-669 (2023). MSC: 74S05 65N30 65N15 74D05 45D05 PDFBibTeX XMLCite \textit{Y. Jang} and \textit{S. Shaw}, Comput. Methods Appl. Math. 23, No. 3, 647--669 (2023; Zbl 1519.74069) Full Text: DOI arXiv
Meng, Jian Discontinuous Galerkin method for the interior transmission eigenvalue problem in inverse scattering theory. (English) Zbl 1522.65195 J. Sci. Comput. 96, No. 3, Paper No. 66, 24 p. (2023). MSC: 65N25 65N30 65N15 65N12 35A15 35R30 PDFBibTeX XMLCite \textit{J. Meng}, J. Sci. Comput. 96, No. 3, Paper No. 66, 24 p. (2023; Zbl 1522.65195) Full Text: DOI
Xu, Xiuxiu; Huang, Qiumei Discontinuous Galerkin time stepping for semilinear parabolic problems with time constant delay. (English) Zbl 07720240 J. Sci. Comput. 96, No. 2, Paper No. 57, 21 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 35K58 65L03 35R07 PDFBibTeX XMLCite \textit{X. Xu} and \textit{Q. Huang}, J. Sci. Comput. 96, No. 2, Paper No. 57, 21 p. (2023; Zbl 07720240) Full Text: DOI
Li, Xiaosheng; Wang, Wei A high order discontinuous Galerkin method for the recovery of the conductivity in electrical impedance tomography. (English) Zbl 07715683 J. Comput. Appl. Math. 434, Article ID 115344, 20 p. (2023). MSC: 65-XX 35R30 65J20 65N21 PDFBibTeX XMLCite \textit{X. Li} and \textit{W. Wang}, J. Comput. Appl. Math. 434, Article ID 115344, 20 p. (2023; Zbl 07715683) Full Text: DOI arXiv
Yadav, Ram Prasad; Rai, Pratima; Sharma, Kapil K. NIPG finite element method for convection-dominated diffusion problems with discontinuous data. (English) Zbl 07714969 Int. J. Comput. Methods 20, No. 5, Article ID 2350001, 25 p. (2023). MSC: 65L11 65L60 65L70 PDFBibTeX XMLCite \textit{R. P. Yadav} et al., Int. J. Comput. Methods 20, No. 5, Article ID 2350001, 25 p. (2023; Zbl 07714969) Full Text: DOI
Baccouch, Mahboub Superconvergence of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems. (English) Zbl 07714948 Int. J. Comput. Methods 20, No. 2, Article ID 2250042, 23 p. (2023). MSC: 65L05 65L20 65L60 65L70 PDFBibTeX XMLCite \textit{M. Baccouch}, Int. J. Comput. Methods 20, No. 2, Article ID 2250042, 23 p. (2023; Zbl 07714948) Full Text: DOI
Bessemoulin-Chatard, Marianne; Filbet, Francis On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. (English) Zbl 1519.65043 SIAM J. Numer. Anal. 61, No. 4, 1664-1688 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 65N35 65N12 65N15 82C40 82D10 35A01 35A02 35R09 33C45 35Q60 35Q83 PDFBibTeX XMLCite \textit{M. Bessemoulin-Chatard} and \textit{F. Filbet}, SIAM J. Numer. Anal. 61, No. 4, 1664--1688 (2023; Zbl 1519.65043) Full Text: DOI arXiv
Bublík, Ondřej; Heidler, Václav; Pecka, Aleš; Vimmr, Jan Neural-network-based fluid-structure interaction applied to vortex-induced vibration. (English) Zbl 07711018 J. Comput. Appl. Math. 428, Article ID 115170, 9 p. (2023). MSC: 70-08 70J35 74F10 76D05 68T07 PDFBibTeX XMLCite \textit{O. Bublík} et al., J. Comput. Appl. Math. 428, Article ID 115170, 9 p. (2023; Zbl 07711018) Full Text: DOI
Burbulla, Samuel; Hörl, Maximilian; Rohde, Christian Flow in porous media with fractures of varying aperture. (English) Zbl 1518.76051 SIAM J. Sci. Comput. 45, No. 4, A1519-A1544 (2023). MSC: 76S05 76M10 65N30 PDFBibTeX XMLCite \textit{S. Burbulla} et al., SIAM J. Sci. Comput. 45, No. 4, A1519--A1544 (2023; Zbl 1518.76051) Full Text: DOI arXiv
Li, Ruo; Yang, Fanyi A reconstructed discontinuous approximation to Monge-Ampère equation in least square formulation. (English) Zbl 1524.65834 Adv. Appl. Math. Mech. 15, No. 5, 1109-1141 (2023). MSC: 65N30 65K10 35J96 65N12 65H10 35J15 PDFBibTeX XMLCite \textit{R. Li} and \textit{F. Yang}, Adv. Appl. Math. Mech. 15, No. 5, 1109--1141 (2023; Zbl 1524.65834) Full Text: DOI arXiv
Wang, Shixi; Bi, Hai; Yang, Yidu The mixed discontinuous Galerkin method for transmission eigenvalues for anisotropic medium. (English) Zbl 1522.65196 J. Sci. Comput. 96, No. 1, Paper No. 22, 32 p. (2023). MSC: 65N25 65N30 65N15 37K15 PDFBibTeX XMLCite \textit{S. Wang} et al., J. Sci. Comput. 96, No. 1, Paper No. 22, 32 p. (2023; Zbl 1522.65196) Full Text: DOI
Danis, Mustafa Engin; Yan, Jue A generalized framework for direct discontinuous Galerkin methods for nonlinear diffusion equations. (English) Zbl 07708345 J. Sci. Comput. 96, No. 2, Paper No. 44, 26 p. (2023). MSC: 65M60 65L06 65M12 65M15 35B44 PDFBibTeX XMLCite \textit{M. E. Danis} and \textit{J. Yan}, J. Sci. Comput. 96, No. 2, Paper No. 44, 26 p. (2023; Zbl 07708345) Full Text: DOI arXiv
Wang, Haijin; Shi, Xiaobin; Zhang, Qiang Stability and error estimates of local discontinuous Galerkin methods with implicit-explicit backward difference formulas up to fifth order for convection-diffusion equation. (English) Zbl 07708338 J. Sci. Comput. 96, No. 2, Paper No. 37, 25 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Sci. Comput. 96, No. 2, Paper No. 37, 25 p. (2023; Zbl 07708338) Full Text: DOI
Zhang, Bin; Yuan, Weixiong; Wang, Kun; Wang, Jufang; Liu, Tiegang Solution remapping method with lower bound preservation for Navier-Stokes equations in aerodynamic shape optimization. (English) Zbl 1517.49025 Commun. Comput. Phys. 33, No. 5, 1381-1408 (2023). MSC: 49Q10 65M12 65M22 35Q30 PDFBibTeX XMLCite \textit{B. Zhang} et al., Commun. Comput. Phys. 33, No. 5, 1381--1408 (2023; Zbl 1517.49025) Full Text: DOI
Lu, Yizhou; Zhu, Jun; Cui, Shengzhu; Wang, Zhenming; Tian, Linlin; Zhao, Ning High-order local discontinuous Galerkin method with multi-resolution WENO limiter for Navier-Stokes equations on triangular meshes. (English) Zbl 1514.65132 Commun. Comput. Phys. 33, No. 5, 1217-1239 (2023). MSC: 65M60 35L65 PDFBibTeX XMLCite \textit{Y. Lu} et al., Commun. Comput. Phys. 33, No. 5, 1217--1239 (2023; Zbl 1514.65132) Full Text: DOI
You, Hojun; Kim, Juhyun; Kim, Chongam Implicit quadrature-free direct reconstruction method for efficient scale-resolving simulations. (English) Zbl 1524.76234 Commun. Comput. Phys. 33, No. 4, 992-1034 (2023). MSC: 76M10 76N06 76F65 PDFBibTeX XMLCite \textit{H. You} et al., Commun. Comput. Phys. 33, No. 4, 992--1034 (2023; Zbl 1524.76234) Full Text: DOI
Cheng, Yao; Stynes, Martin The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers. (English) Zbl 07707128 Numer. Math. 154, No. 1-2, 283-318 (2023). MSC: 65N30 65N50 65N15 35B25 PDFBibTeX XMLCite \textit{Y. Cheng} and \textit{M. Stynes}, Numer. Math. 154, No. 1--2, 283--318 (2023; Zbl 07707128) Full Text: DOI arXiv
Bonetti, Stefano; Botti, Michele; Mazzieri, Ilario; Antonietti, Paola F. Numerical modeling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods. (English) Zbl 07705916 J. Comput. Phys. 489, Article ID 112275, 23 p. (2023). MSC: 65Nxx 65Mxx 76Sxx PDFBibTeX XMLCite \textit{S. Bonetti} et al., J. Comput. Phys. 489, Article ID 112275, 23 p. (2023; Zbl 07705916) Full Text: DOI arXiv
Vidal-Codina, F.; Ciracì, C.; Nguyen, N.-C.; Oh, S.-H.; Peraire, J. Optical response of metallic nanostructures using quantum hydrodynamic theory and a hybridizable discontinuous Galerkin method. (English) Zbl 07705901 J. Comput. Phys. 489, Article ID 112260, 26 p. (2023). MSC: 65Mxx 78Mxx 65Nxx PDFBibTeX XMLCite \textit{F. Vidal-Codina} et al., J. Comput. Phys. 489, Article ID 112260, 26 p. (2023; Zbl 07705901) Full Text: DOI
Temimi, Helmi Error analysis of a novel discontinuous Galerkin method for the two-dimensional Poisson’s equation. (English) Zbl 07705794 Appl. Numer. Math. 189, 130-150 (2023). MSC: 65Mxx 65Nxx 35Lxx PDFBibTeX XMLCite \textit{H. Temimi}, Appl. Numer. Math. 189, 130--150 (2023; Zbl 07705794) Full Text: DOI
Zhang, Jiansong; Zhu, Jiang; Héctor, Andrés Vargas Poblete; Jiang, Maosheng A hybrid mixed finite element method for convection-diffusion-reaction equation with local exponential fitting technique. (English) Zbl 07705788 Appl. Numer. Math. 189, 23-38 (2023). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Numer. Math. 189, 23--38 (2023; Zbl 07705788) Full Text: DOI
Li, Yanjun; Bi, Hai A locking-free discontinuous Galerkin method for linear elastic Steklov eigenvalue problem. (English) Zbl 07705778 Appl. Numer. Math. 188, 21-41 (2023). MSC: 65Nxx 65Mxx 74Sxx PDFBibTeX XMLCite \textit{Y. Li} and \textit{H. Bi}, Appl. Numer. Math. 188, 21--41 (2023; Zbl 07705778) Full Text: DOI arXiv
Singh, Gautam; Natesan, Srinivasan; Sendur, Ali Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection-diffusion-reaction problems. (English) Zbl 1524.65858 Int. J. Comput. Math. 100, No. 5, 948-967 (2023). MSC: 65N30 65N12 65N15 35B25 65D05 35J25 PDFBibTeX XMLCite \textit{G. Singh} et al., Int. J. Comput. Math. 100, No. 5, 948--967 (2023; Zbl 1524.65858) Full Text: DOI
Pun, Sai-Mang; Cheung, Siu Wun Online adaptive algorithm for constraint energy minimizing generalized multiscale discontinuous Galerkin method. (English) Zbl 1514.65177 Multiscale Model. Simul. 21, No. 1, 168-193 (2023). MSC: 65N30 PDFBibTeX XMLCite \textit{S.-M. Pun} and \textit{S. W. Cheung}, Multiscale Model. Simul. 21, No. 1, 168--193 (2023; Zbl 1514.65177) Full Text: DOI arXiv