Li, Rui; Gao, Yali; Chen, Zhangxin Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes. (English) Zbl 07824757 Numer. Algorithms 95, No. 4, 1981-2014 (2024). MSC: 65-XX PDFBibTeX XMLCite \textit{R. Li} et al., Numer. Algorithms 95, No. 4, 1981--2014 (2024; Zbl 07824757) Full Text: DOI
Li, Jiaqi; Demkowicz, Leszek A DPG method for planar div-curl problems. (English) Zbl 07824619 Comput. Math. Appl. 159, 31-43 (2024). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{J. Li} and \textit{L. Demkowicz}, Comput. Math. Appl. 159, 31--43 (2024; Zbl 07824619) Full Text: DOI
Lei, Wenyu; Piani, Stefano; Farrell, Patricio; Rotundo, Nella; Heltai, Luca A weighted hybridizable discontinuous Galerkin method for drift-diffusion problems. (English) Zbl 07823284 J. Sci. Comput. 99, No. 2, Paper No. 33, 26 p. (2024). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{W. Lei} et al., J. Sci. Comput. 99, No. 2, Paper No. 33, 26 p. (2024; Zbl 07823284) Full Text: DOI arXiv
Nastasi, Giovanni; Borzì, Alfio; Romano, Vittorio Optimal control of a semiclassical Boltzmann equation for charge transport in graphene. (English) Zbl 07822399 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107933, 26 p. (2024). MSC: 35Q20 49K20 49M05 65M60 PDFBibTeX XMLCite \textit{G. Nastasi} et al., Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107933, 26 p. (2024; Zbl 07822399) Full Text: DOI
Cui, Shumo; Ding, Shengrong; Wu, Kailiang On optimal cell average decomposition for high-order bound-preserving schemes of hyperbolic conservation laws. (English) Zbl 07821073 SIAM J. Numer. Anal. 62, No. 2, 775-810 (2024). MSC: 35L65 65M12 65M60 65M08 PDFBibTeX XMLCite \textit{S. Cui} et al., SIAM J. Numer. Anal. 62, No. 2, 775--810 (2024; Zbl 07821073) Full Text: DOI arXiv
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
Carstensen, Carsten; Gräßle, Benedikt; Nataraj, Neela Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. (English) Zbl 07818545 J. Numer. Math. 32, No. 1, 77-109 (2024). MSC: 65N30 65N12 65N15 65N50 31A30 PDFBibTeX XMLCite \textit{C. Carstensen} et al., J. Numer. Math. 32, No. 1, 77--109 (2024; Zbl 07818545) Full Text: DOI arXiv
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
Gerhard, Pierre; Helluy, Philippe; Michel-Dansac, Victor; Weber, Bruno Parallel kinetic schemes for conservation laws, with large time steps. (English) Zbl 07812559 J. Sci. Comput. 99, No. 1, Paper No. 5, 34 p. (2024). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65L06 65M12 65M15 65Y05 35Q49 PDFBibTeX XMLCite \textit{P. Gerhard} et al., J. Sci. Comput. 99, No. 1, Paper No. 5, 34 p. (2024; Zbl 07812559) 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
La Spina, Andrea; Fish, Jacob A hybridizable discontinuous Galerkin formulation for the Euler-Maxwell plasma model. (English) Zbl 07807973 J. Comput. Phys. 496, Article ID 112535, 25 p. (2024). MSC: 76Mxx 65Nxx 65Mxx PDFBibTeX XMLCite \textit{A. La Spina} and \textit{J. Fish}, J. Comput. Phys. 496, Article ID 112535, 25 p. (2024; Zbl 07807973) Full Text: DOI
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
Jung, Jonathan; Perrier, Vincent Behavior of the discontinuous Galerkin method for compressible flows at low Mach number on triangles and tetrahedrons. (English) Zbl 07805925 SIAM J. Sci. Comput. 46, No. 1, A452-A482 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M60 65M08 65M12 65M15 65M22 76N30 76M10 76M12 35Q31 PDFBibTeX XMLCite \textit{J. Jung} and \textit{V. Perrier}, SIAM J. Sci. Comput. 46, No. 1, A452--A482 (2024; Zbl 07805925) Full Text: DOI
Chaumont-Frelet, Théophile; Vega, Patrick Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell’s equations. (English) Zbl 07805444 SIAM J. Numer. Anal. 62, No. 1, 400-421 (2024). MSC: 65N30 65N15 35B65 78A25 78M10 35Q61 PDFBibTeX XMLCite \textit{T. Chaumont-Frelet} and \textit{P. Vega}, SIAM J. Numer. Anal. 62, No. 1, 400--421 (2024; Zbl 07805444) Full Text: DOI arXiv
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
Zhang, Haiyan; Liang, Hui On a mixed Galerkin method for semi-explicit index-1 integro-differential algebraic equations. (English) Zbl 07803450 Comput. Appl. Math. 43, No. 1, Paper No. 42, 20 p. (2024). MSC: 65R20 65M60 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{H. Liang}, Comput. Appl. Math. 43, No. 1, Paper No. 42, 20 p. (2024; Zbl 07803450) 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
Alshehri, Najwa; Boffi, Daniele; Gastaldi, Lucia Unfitted mixed finite element methods for elliptic interface problems. (English) Zbl 07798415 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23063, 24 p. (2024). MSC: 65N30 35J25 76M10 PDFBibTeX XMLCite \textit{N. Alshehri} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23063, 24 p. (2024; Zbl 07798415) Full Text: DOI arXiv
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
Henríquez, Esteban; Solano, Manuel An unfitted HDG method for a distributed optimal control problem. (English) Zbl 07797206 J. Comput. Appl. Math. 441, Article ID 115703, 18 p. (2024). MSC: 65N30 65N50 65N12 65N15 65B05 49M25 49K10 35J25 35A01 35A02 PDFBibTeX XMLCite \textit{E. Henríquez} and \textit{M. Solano}, J. Comput. Appl. Math. 441, Article ID 115703, 18 p. (2024; Zbl 07797206) Full Text: DOI
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
Yan, Fengna; Van der Vegt, J. J. W.; Xia, Yinhua; Xu, Yan Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations. (English) Zbl 07797187 J. Comput. Appl. Math. 441, Article ID 115674, 22 p. (2024). MSC: 65M60 65M06 65L06 65N30 65K05 90C30 35K65 35K61 35B09 PDFBibTeX XMLCite \textit{F. Yan} et al., J. Comput. Appl. Math. 441, Article ID 115674, 22 p. (2024; Zbl 07797187) 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
Leykekhman, Dmitriy; Vexler, Boris \(L^2(I;H^1(\Omega)^d)\) and \(L^2(I;L^2(\Omega)^d)\) best approximation type error estimates for Galerkin solutions of transient Stokes problems. (English) Zbl 07795703 Calcolo 61, No. 1, Paper No. 7, 22 p. (2024). MSC: 65M60 65M15 35K20 35D30 35B65 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{D. Leykekhman} and \textit{B. Vexler}, Calcolo 61, No. 1, Paper No. 7, 22 p. (2024; Zbl 07795703) Full Text: DOI arXiv
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
Wang, Hui; Guo, Hui; Zhang, Jiansong; Tian, Lulu Local discontinuous Galerkin methods with decoupled implicit-explicit time marching for the growth-mediated autochemotactic pattern formation model. (English) Zbl 07792922 Adv. Appl. Math. Mech. 16, No. 1, 208-236 (2024). MSC: 65M15 65M60 PDFBibTeX XMLCite \textit{H. Wang} et al., Adv. Appl. Math. Mech. 16, No. 1, 208--236 (2024; Zbl 07792922) Full Text: DOI
Capatina, Daniela; Gouasmi, Aimene; He, Cuiyu Robust flux reconstruction and a posteriori error analysis for an elliptic problem with discontinuous coefficients. (English) Zbl 07788950 J. Sci. Comput. 98, No. 1, Paper No. 28, 31 p. (2024). MSC: 65N30 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{D. Capatina} et al., J. Sci. Comput. 98, No. 1, Paper No. 28, 31 p. (2024; Zbl 07788950) Full Text: DOI
Yang, Lei; Liu, Yuan; Jiang, Yan; Zhang, Mengping Discontinuous Galerkin methods for network patterning phase-field models. (English) Zbl 07788949 J. Sci. Comput. 98, No. 1, Paper No. 27, 27 p. (2024). MSC: 65M60 65M06 65N30 92C15 35Q92 PDFBibTeX XMLCite \textit{L. Yang} et al., J. Sci. Comput. 98, No. 1, Paper No. 27, 27 p. (2024; Zbl 07788949) Full Text: DOI
Chen, Jau-Uei; Kang, Shinhoo; Bui-Thanh, Tan; Shadid, John N. A unified hp-HDG framework for Friedrichs’ PDE systems. (English) Zbl 07784362 Comput. Math. Appl. 154, 236-266 (2024). MSC: 65N30 65N15 76M10 65N12 35J25 PDFBibTeX XMLCite \textit{J.-U. Chen} et al., Comput. Math. Appl. 154, 236--266 (2024; Zbl 07784362) Full Text: DOI arXiv
Sun, Jingbo; Wang, Fei Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation. (English) Zbl 07784354 Comput. Math. Appl. 154, 128-137 (2024). MSC: 68T05 65M12 65M75 65N30 35K57 PDFBibTeX XMLCite \textit{J. Sun} and \textit{F. Wang}, Comput. Math. Appl. 154, 128--137 (2024; Zbl 07784354) Full Text: DOI arXiv
Roberts, Nathan V.; Miller, Sean T.; Bond, Stephen D.; Cyr, Eric C. An implicit-in-time DPG formulation of the 1D1V Vlasov-Poisson equations. (English) Zbl 07784352 Comput. Math. Appl. 154, 103-119 (2024). MSC: 65N30 65M60 65N12 65M12 65M15 PDFBibTeX XMLCite \textit{N. V. Roberts} et al., Comput. Math. Appl. 154, 103--119 (2024; Zbl 07784352) Full Text: DOI
Antonietti, P. F.; Farenga, N.; Manuzzi, E.; Martinelli, G.; Saverio, L. Agglomeration of polygonal grids using graph neural networks with applications to multigrid solvers. (English) Zbl 07784347 Comput. Math. Appl. 154, 45-57 (2024). MSC: 65N30 65N55 35J25 65N12 65N50 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Comput. Math. Appl. 154, 45--57 (2024; Zbl 07784347) Full Text: DOI arXiv
Moradi, Afsaneh; Abdi, Ali; Hojjati, Gholamreza Strong stability preserving second derivative general linear methods based on Taylor series conditions for discontinuous Galerkin discretizations. (English) Zbl 07784054 J. Sci. Comput. 98, No. 1, Paper No. 20, 21 p. (2024). MSC: 65L05 65L60 PDFBibTeX XMLCite \textit{A. Moradi} et al., J. Sci. Comput. 98, No. 1, Paper No. 20, 21 p. (2024; Zbl 07784054) 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
Liu, Sijing; Tan, Zhiyu; Zhang, Yi Discontinuous Galerkin methods for an elliptic optimal control problem with a general state equation and pointwise state constraints. (English) Zbl 1522.65217 J. Comput. Appl. Math. 437, Article ID 115494, 18 p. (2024). MSC: 65N30 49M25 65N15 PDFBibTeX XMLCite \textit{S. Liu} et al., J. Comput. Appl. Math. 437, Article ID 115494, 18 p. (2024; Zbl 1522.65217) Full Text: DOI arXiv
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
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
Schnücke, Gero Split form discontinuous Galerkin methods for conservation laws. (English) Zbl 07802998 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, 279-287 (2023). MSC: 65M70 65M60 65M12 65M15 76N30 76N15 41A25 35Q31 PDFBibTeX XMLCite \textit{G. Schnücke}, Springer Proc. Math. Stat. 433, 279--287 (2023; Zbl 07802998) Full Text: DOI
Tu, Xuemin; Zhang, Jinjin BDDC algorithms for Oseen problems with HDG discretizations. (English) Zbl 07800840 IMA J. Numer. Anal. 43, No. 6, 3478-3521 (2023). MSC: 65N30 65N55 65N50 65N12 49M41 76D07 65F08 65F10 PDFBibTeX XMLCite \textit{X. Tu} and \textit{J. Zhang}, IMA J. Numer. Anal. 43, No. 6, 3478--3521 (2023; Zbl 07800840) Full Text: DOI
Sosa Jones, Giselle; Cappanera, Loïc; Riviere, Beatrice Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media. (English) Zbl 07800819 IMA J. Numer. Anal. 43, No. 5, 2714-2747 (2023). MSC: 65L60 65M60 65N30 74F10 PDFBibTeX XMLCite \textit{G. Sosa Jones} et al., IMA J. Numer. Anal. 43, No. 5, 2714--2747 (2023; Zbl 07800819) Full Text: DOI arXiv
Yan, Fengna; Cheng, Ziqiang Stability and error estimates of high order BDF-LDG discretizations for the Allen-Cahn equation. (English) Zbl 07800812 Comput. Math. Math. Phys. 63, No. 12, 2551-2571 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 35Q35 PDFBibTeX XMLCite \textit{F. Yan} and \textit{Z. Cheng}, Comput. Math. Math. Phys. 63, No. 12, 2551--2571 (2023; Zbl 07800812) Full Text: DOI
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
Leykekhman, Dmitriy; Vexler, Boris; Wagner, Jakob Fully discrete pointwise smoothing error estimates for measure valued initial data. (English) Zbl 07787606 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3091-3111 (2023). MSC: 65M60 65N30 65M15 35K10 35B65 35R06 PDFBibTeX XMLCite \textit{D. Leykekhman} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3091--3111 (2023; Zbl 07787606) Full Text: DOI arXiv
Cornalba, Federico; Shardlow, Tony The regularised inertial Dean-Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime. (English) Zbl 07787605 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3061-3090 (2023). MSC: 76Exx 65N30 35R60 65N99 PDFBibTeX XMLCite \textit{F. Cornalba} and \textit{T. Shardlow}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3061--3090 (2023; Zbl 07787605) 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
Bertrand, Fleurianne; Schneider, Henrik Superconvergence of DPG approximations in linear elasticity. (English) Zbl 07787593 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2681-2699 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N12 74B10 74S05 35B45 35Q74 PDFBibTeX XMLCite \textit{F. Bertrand} and \textit{H. Schneider}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2681--2699 (2023; Zbl 07787593) 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
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
Ge, Ang; Shen, Jinye; Vong, Seakweng Space-time methods based on isogeometric analysis for time-fractional Schrödinger equation. (English) Zbl 07784033 J. Sci. Comput. 97, No. 3, Paper No. 76, 33 p. (2023). MSC: 65M60 65D07 65M12 65M22 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{A. Ge} et al., J. Sci. Comput. 97, No. 3, Paper No. 76, 33 p. (2023; Zbl 07784033) Full Text: DOI
Niemi, Antti H. Approximation properties of primal discontinuous Petrov-Galerkin method on general quadrilateral meshes. (English) Zbl 07783942 Comput. Math. Appl. 151, 300-303 (2023). MSC: 65N30 74S05 65N12 65N15 76M10 PDFBibTeX XMLCite \textit{A. H. Niemi}, Comput. Math. Appl. 151, 300--303 (2023; Zbl 07783942) 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
Garcia-Beristain, Imanol; Remaki, Lakhdar Time-adaptive Adomian decomposition-based numerical scheme for Euler equations. (English) Zbl 07779713 Numer. Methods Partial Differ. Equations 39, No. 1, 329-355 (2023). MSC: 65M99 65M60 65L06 65N30 76Q05 35Q31 PDFBibTeX XMLCite \textit{I. Garcia-Beristain} and \textit{L. Remaki}, Numer. Methods Partial Differ. Equations 39, No. 1, 329--355 (2023; Zbl 07779713) Full Text: DOI
Shin, Dongwook; Jeon, Youngmok; Park, Eun-Jae Analysis of hybrid discontinuous Galerkin methods for linearized Navier-Stokes equations. (English) Zbl 07779712 Numer. Methods Partial Differ. Equations 39, No. 1, 304-328 (2023). MSC: 65N30 65N50 65N12 65N15 76D05 76M10 35A01 35A02 35Q30 PDFBibTeX XMLCite \textit{D. Shin} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 304--328 (2023; Zbl 07779712) Full Text: DOI
Li, Jun; Jiang, Yao-Lin; Miao, Zhen Analysis of the parareal approach based on discontinuous Galerkin method for time-dependent Stokes equations. (English) Zbl 07779697 Numer. Methods Partial Differ. Equations 39, No. 1, 6-29 (2023). MSC: 65M60 65M06 65N30 65M12 65N15 65Y05 76D07 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 6--29 (2023; Zbl 07779697) Full Text: DOI
Kraus, Johannes; Lederer, Philip L.; Lymbery, Maria; Osthues, Kevin; Schöberl, Joachim Hybridized discontinuous Galerkin/hybrid mixed methods for a multiple network poroelasticity model with application in biomechanics. (English) Zbl 07779188 SIAM J. Sci. Comput. 45, No. 6, B802-B827 (2023). MSC: 76S05 65M60 74F10 PDFBibTeX XMLCite \textit{J. Kraus} et al., SIAM J. Sci. Comput. 45, No. 6, B802--B827 (2023; Zbl 07779188) Full Text: DOI arXiv
Zhang, Qian; Xu, Yan; Liu, Yue A discontinuous Galerkin method for the Camassa-Holm-Kadomtsev-Petviashvili type equations. (English) Zbl 07777371 Numer. Methods Partial Differ. Equations 39, No. 5, 3609-3633 (2023). MSC: 65M60 35Q53 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3609--3633 (2023; Zbl 07777371) 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
Marazzato, Frédéric; Bourdin, Blaise A DG/CR discretization for the variational phase-field approach to fracture. (English) Zbl 07773243 Comput. Mech. 72, No. 4, 693-705 (2023). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{F. Marazzato} and \textit{B. Bourdin}, Comput. Mech. 72, No. 4, 693--705 (2023; Zbl 07773243) Full Text: DOI arXiv
Bhattacharyya, Maitraya K.; Radice, David A finite element method for angular discretization of the radiation transport equation on spherical geodesic grids. (English) Zbl 07771281 J. Comput. Phys. 491, Article ID 112365, 22 p. (2023). MSC: 65Mxx 82Cxx 85Axx PDFBibTeX XMLCite \textit{M. K. Bhattacharyya} and \textit{D. Radice}, J. Comput. Phys. 491, Article ID 112365, 22 p. (2023; Zbl 07771281) Full Text: DOI arXiv
Liu, Chen; Masri, Rami; Riviere, Beatrice Convergence of a decoupled splitting scheme for the Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1528.65077 SIAM J. Numer. Anal. 61, No. 6, 2651-2694 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76T06 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{C. Liu} et al., SIAM J. Numer. Anal. 61, No. 6, 2651--2694 (2023; Zbl 1528.65077) Full Text: DOI arXiv
Nguyen, Ngoc Cuong; Vila-Pérez, Jordi; Peraire, Jaime An adaptive viscosity regularization approach for the numerical solution of conservation laws: application to finite element methods. (English) Zbl 07766221 J. Comput. Phys. 494, Article ID 112507, 22 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., J. Comput. Phys. 494, Article ID 112507, 22 p. (2023; Zbl 07766221) Full Text: DOI arXiv
Bhoriya, Deepak; Biswas, Biswarup; Kumar, Harish; Chandrashekhar, Praveen Entropy stable discontinuous Galerkin schemes for two-fluid relativistic plasma flow equations. (English) Zbl 07766142 J. Sci. Comput. 97, No. 3, Paper No. 72, 40 p. (2023). MSC: 65-XX 35L25 35L56 35L75 65M60 PDFBibTeX XMLCite \textit{D. Bhoriya} et al., J. Sci. Comput. 97, No. 3, Paper No. 72, 40 p. (2023; Zbl 07766142) Full Text: DOI arXiv
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
Huynh, Ngoc Mai Monica; Chegini, Fatemeh; Pavarino, Luca Franco; Weiser, Martin; Scacchi, Simone Convergence analysis of BDDC preconditioners for composite DG discretizations of the cardiac cell-by-cell model. (English) Zbl 1527.65138 SIAM J. Sci. Comput. 45, No. 6, A2836-A2857 (2023). MSC: 65N55 65M55 65M60 65M06 65N30 65M12 65F08 65F10 92C37 92C30 92-08 PDFBibTeX XMLCite \textit{N. M. M. Huynh} et al., SIAM J. Sci. Comput. 45, No. 6, A2836--A2857 (2023; Zbl 1527.65138) Full Text: DOI arXiv
Burman, Erik; Delay, Guillaume; Ern, Alexandre The unique continuation problem for the heat equation discretized with a high-order space-time nonconforming method. (English) Zbl 07764838 SIAM J. Numer. Anal. 61, No. 5, 2534-2557 (2023). MSC: 65M30 65M60 65J20 35R25 35K05 PDFBibTeX XMLCite \textit{E. Burman} et al., SIAM J. Numer. Anal. 61, No. 5, 2534--2557 (2023; Zbl 07764838) Full Text: DOI
Hu, Qiya Convergence of the Hiptmair-Xu preconditioner for \(H(\mathbf{curl})\)-elliptic problems with jump coefficients. II: Main results. (English) Zbl 1527.65127 SIAM J. Numer. Anal. 61, No. 5, 2434-2459 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N55 65F08 65F10 PDFBibTeX XMLCite \textit{Q. Hu}, SIAM J. Numer. Anal. 61, No. 5, 2434--2459 (2023; Zbl 1527.65127) Full Text: DOI
Cai, Zhiqiang; Yang, Jing An error estimate for finite element approximation to elliptic PDEs with discontinuous Dirichlet boundary data. (English) Zbl 1528.65102 Appl. Numer. Math. 193, 83-92 (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{Z. Cai} and \textit{J. Yang}, Appl. Numer. Math. 193, 83--92 (2023; Zbl 1528.65102) Full Text: DOI
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
Cesmelioglu, Aycil; Lee, Jeonghun J.; Rhebergen, Sander Analysis of an embedded-hybridizable discontinuous Galerkin method for Biot’s consolidation model. (English) Zbl 07761548 J. Sci. Comput. 97, No. 3, Paper No. 60, 26 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 74F10 74L10 76M10 76M20 74S05 74S20 35Q35 35Q74 PDFBibTeX XMLCite \textit{A. Cesmelioglu} et al., J. Sci. Comput. 97, No. 3, Paper No. 60, 26 p. (2023; Zbl 07761548) Full Text: DOI arXiv
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
Frerichs-Mihov, Derk; Henning, Linus; John, Volker Using deep neural networks for detecting spurious oscillations in discontinuous Galerkin solutions of convection-dominated convection-diffusion equations. (English) Zbl 1526.65055 J. Sci. Comput. 97, No. 2, Paper No. 36, 27 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 68T07 PDFBibTeX XMLCite \textit{D. Frerichs-Mihov} et al., J. Sci. Comput. 97, No. 2, Paper No. 36, 27 p. (2023; Zbl 1526.65055) Full Text: DOI OA License
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H. A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes. (English) Zbl 1526.65052 SIAM J. Numer. Anal. 61, No. 5, 2352-2380 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65J10 65N15 65N12 65N50 65N85 41A25 PDFBibTeX XMLCite \textit{A. Cangiani} et al., SIAM J. Numer. Anal. 61, No. 5, 2352--2380 (2023; Zbl 1526.65052) 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
Bi, Hui; Zhang, Mengyuan Stability analysis and error estimates of implicit Runge-Kutta local discontinuous Galerkin methods for linear bi-harmonic equation. (English) Zbl 07750318 Comput. Math. Appl. 149, 211-220 (2023). MSC: 65M60 65M12 65M15 65L06 35L65 PDFBibTeX XMLCite \textit{H. Bi} and \textit{M. Zhang}, Comput. Math. Appl. 149, 211--220 (2023; Zbl 07750318) Full Text: DOI
Wen, Jing; Chen, Zhangxing; He, Yinnian The analogue of grad-div stabilization in DG method for a coupled Stokes and Darcy problem. (English) Zbl 07750310 Comput. Math. Appl. 149, 99-114 (2023). MSC: 76M10 65N30 76S05 76D07 65N15 PDFBibTeX XMLCite \textit{J. Wen} et al., Comput. Math. Appl. 149, 99--114 (2023; Zbl 07750310) Full Text: DOI
Badger, Jacob; Henneking, Stefan; Petrides, Socratis; Demkowicz, Leszek Scalable DPG multigrid solver for Helmholtz problems: a study on convergence. (English) Zbl 07750283 Comput. Math. Appl. 148, 81-92 (2023). MSC: 65N30 35J05 65N55 65F08 65F10 PDFBibTeX XMLCite \textit{J. Badger} et al., Comput. Math. Appl. 148, 81--92 (2023; Zbl 07750283) Full Text: DOI arXiv
Huynh, Giang D.; Abedi, Reza Tent-pitcher spacetime discontinuous Galerkin method for one-dimensional linear hyperbolic and parabolic PDEs. (English) Zbl 07750279 Comput. Math. Appl. 148, 26-40 (2023). MSC: 65M60 65M15 65M12 76M10 74S05 PDFBibTeX XMLCite \textit{G. D. Huynh} and \textit{R. Abedi}, Comput. Math. Appl. 148, 26--40 (2023; Zbl 07750279) Full Text: DOI
Cockburn, Bernardo Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems. (English) Zbl 07749865 Japan J. Ind. Appl. Math. 40, No. 3, 1637-1676 (2023). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65M60 65-02 65N12 65N15 35L65 35J15 PDFBibTeX XMLCite \textit{B. Cockburn}, Japan J. Ind. Appl. Math. 40, No. 3, 1637--1676 (2023; Zbl 07749865) 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
Acosta-Soba, Daniel; Guillén-González, Francisco; Rodríguez-Galván, J. Rafael An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model. (English) Zbl 1522.65165 J. Sci. Comput. 97, No. 1, Paper No. 18, 27 p. (2023). MSC: 65M60 65M06 65N30 35B09 35B44 35R09 92C17 92C15 35Q92 92-08 PDFBibTeX XMLCite \textit{D. Acosta-Soba} et al., J. Sci. Comput. 97, No. 1, Paper No. 18, 27 p. (2023; Zbl 1522.65165) Full Text: DOI arXiv OA License
Chakraborty, Ankit; May, Georg A continuous hp-mesh model for discontinuous Petrov-Galerkin finite element schemes with optimal test functions. (English) Zbl 07741350 Comput. Math. Appl. 147, 64-75 (2023). MSC: 65N30 65N50 65N15 76M10 65N12 PDFBibTeX XMLCite \textit{A. Chakraborty} and \textit{G. May}, Comput. Math. Appl. 147, 64--75 (2023; Zbl 07741350) Full Text: DOI arXiv
Zhang, Weijie; Xing, Yulong; Xia, Yinhua; Xu, Yan High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields. (English) Zbl 07741342 Comput. Math. Appl. 146, 339-359 (2023). MSC: 35Q31 35L65 65M60 76M10 76M12 65M08 PDFBibTeX XMLCite \textit{W. Zhang} et al., Comput. Math. Appl. 146, 339--359 (2023; Zbl 07741342) Full Text: DOI
Cockburn, Bernardo; Du, Shukai; Sánchez, Manuel A. A priori error analysis of new semidiscrete, Hamiltonian HDG methods for the time-dependent Maxwell’s equations. (English) Zbl 07739207 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2097-2129 (2023). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M60 74H15 74J05 74S05 78A25 78M10 35Q61 35Q74 PDFBibTeX XMLCite \textit{B. Cockburn} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2097--2129 (2023; Zbl 07739207) Full Text: DOI
Egger, Herbert; Philippi, Nora A hybrid-DG method for singularly perturbed convection-diffusion equations on pipe networks. (English) Zbl 07739206 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2077-2095 (2023). MSC: 65-XX 35B25 35B40 35K20 35R02 65N30 76R99 PDFBibTeX XMLCite \textit{H. Egger} and \textit{N. Philippi}, ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2077--2095 (2023; Zbl 07739206) 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
Cesmelioglu, Aycil; Pham, Dinh Dong; Rhebergen, Sander A hybridizable discontinuous Galerkin method for the fully coupled time-dependent Stokes/Darcy-transport problem. (English) Zbl 1522.65170 ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1257-1296 (2023). MSC: 65M60 65M06 65N30 65N12 65N15 76D07 76S05 76M10 76M20 35R07 35Q49 35Q35 PDFBibTeX XMLCite \textit{A. Cesmelioglu} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1257--1296 (2023; Zbl 1522.65170) 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