Chen, Yanping; Wang, Lina; Yi, Lijun Exponential convergence of \(hp\)-discontinuous Galerkin method for nonlinear Caputo fractional differential equations. (English) Zbl 07568991 J. Sci. Comput. 92, No. 3, Paper No. 99, 27 p. (2022). MSC: 65R20 65L60 65L05 65L70 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Sci. Comput. 92, No. 3, Paper No. 99, 27 p. (2022; Zbl 07568991) Full Text: DOI OpenURL
Du, Jie; Shu, Chi-Wang; Zhong, Xinghui An improved simple WENO limiter for discontinuous Galerkin methods solving hyperbolic systems on unstructured meshes. (English) Zbl 07568536 J. Comput. Phys. 467, Article ID 111424, 27 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDF BibTeX XML Cite \textit{J. Du} et al., J. Comput. Phys. 467, Article ID 111424, 27 p. (2022; Zbl 07568536) Full Text: DOI OpenURL
Zhao, Lina; Park, Eun-Jae A staggered discontinuous Galerkin method for quasi-linear second order elliptic problems of nonmonotone type. (English) Zbl 07566804 Comput. Methods Appl. Math. 22, No. 3, 729-750 (2022). MSC: 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{E.-J. Park}, Comput. Methods Appl. Math. 22, No. 3, 729--750 (2022; Zbl 07566804) Full Text: DOI OpenURL
Führer, Thomas; Herrera, Pablo; Heuer, Norbert DPG methods for a fourth-order div problem. (English) Zbl 07566794 Comput. Methods Appl. Math. 22, No. 3, 545-562 (2022). MSC: 35J35 65N30 35J67 PDF BibTeX XML Cite \textit{T. Führer} et al., Comput. Methods Appl. Math. 22, No. 3, 545--562 (2022; Zbl 07566794) Full Text: DOI OpenURL
Chen, Ziming; Zhang, Yingjuan; Li, Gang; Qian, Shouguo A well-balanced Runge-Kutta discontinuous Galerkin method for the Euler equations in isothermal hydrostatic state under gravitational field. (English) Zbl 07566260 Comput. Math. Appl. 119, 340-350 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{Z. Chen} et al., Comput. Math. Appl. 119, 340--350 (2022; Zbl 07566260) Full Text: DOI OpenURL
Li, Maojun; Mu, Rushuang; Dong, Haiyun A well-balanced discontinuous Galerkin method for the shallow water flows on erodible bottom. (English) Zbl 07566237 Comput. Math. Appl. 119, 13-20 (2022). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{M. Li} et al., Comput. Math. Appl. 119, 13--20 (2022; Zbl 07566237) Full Text: DOI OpenURL
Ai, Jingqi; Xu, Yuan; Shu, Chi-Wang; Zhang, Qiang \(\mathrm{L}^2\) error estimate to smooth solutions of high order Runge-Kutta discontinuous Galerkin method for scalar nonlinear conservation laws with and without sonic points. (English) Zbl 07565244 SIAM J. Numer. Anal. 60, No. 4, 1741-1773 (2022). MSC: 65M12 65M15 PDF BibTeX XML Cite \textit{J. Ai} et al., SIAM J. Numer. Anal. 60, No. 4, 1741--1773 (2022; Zbl 07565244) Full Text: DOI OpenURL
Monk, Peter; Zhang, Yangwen An HDG method for the Steklov eigenvalue problem. (English) Zbl 07563185 IMA J. Numer. Anal. 42, No. 3, 1929-1962 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{P. Monk} and \textit{Y. Zhang}, IMA J. Numer. Anal. 42, No. 3, 1929--1962 (2022; Zbl 07563185) Full Text: DOI OpenURL
Wang, Yuhang; Pan, Liang Three-dimensional discontinuous Galerkin based high-order gas-kinetic scheme and GPU implementation. (English) Zbl 07562541 Comput. Fluids 242, Article ID 105510, 11 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{Y. Wang} and \textit{L. Pan}, Comput. Fluids 242, Article ID 105510, 11 p. (2022; Zbl 07562541) Full Text: DOI OpenURL
Du, Eugene; Yano, Masayuki Efficient hyperreduction of high-order discontinuous Galerkin methods: element-wise and point-wise reduced quadrature formulations. (English) Zbl 07561076 J. Comput. Phys. 466, Article ID 111399, 20 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDF BibTeX XML Cite \textit{E. Du} and \textit{M. Yano}, J. Comput. Phys. 466, Article ID 111399, 20 p. (2022; Zbl 07561076) Full Text: DOI OpenURL
Semenov, I. L.; Weltmann, K.-D. A spectral element method for modelling streamer discharges in low-temperature atmospheric-pressure plasmas. (English) Zbl 07561050 J. Comput. Phys. 465, Article ID 111378, 31 p. (2022). MSC: 65Mxx 76Mxx 65Nxx PDF BibTeX XML Cite \textit{I. L. Semenov} and \textit{K. D. Weltmann}, J. Comput. Phys. 465, Article ID 111378, 31 p. (2022; Zbl 07561050) Full Text: DOI OpenURL
Wang, Yue; Gao, Fuzheng; Cui, Jintao A conforming discontinuous Galerkin finite element method for linear elasticity interface problems. (English) Zbl 07549321 J. Sci. Comput. 92, No. 1, Paper No. 9, 20 p. (2022). MSC: 65N30 65N15 74B05 PDF BibTeX XML Cite \textit{Y. Wang} et al., J. Sci. Comput. 92, No. 1, Paper No. 9, 20 p. (2022; Zbl 07549321) Full Text: DOI OpenURL
Erath, Christoph; Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation. (English) Zbl 07547969 J. Sci. Comput. 92, No. 1, Paper No. 2, 41 p. (2022). MSC: 65N30 65N38 65N50 35J05 76Q05 76M10 76M15 35Q35 PDF BibTeX XML Cite \textit{C. Erath} et al., J. Sci. Comput. 92, No. 1, Paper No. 2, 41 p. (2022; Zbl 07547969) Full Text: DOI OpenURL
Xia, Boyang; Li, Jun An efficient implementation of nodal discontinuous Galerkin lattice Boltzmann method and validation for direct numerical simulation of turbulent flows. (English) Zbl 07546691 Comput. Math. Appl. 117, 284-298 (2022). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{B. Xia} and \textit{J. Li}, Comput. Math. Appl. 117, 284--298 (2022; Zbl 07546691) Full Text: DOI OpenURL
Cheng, Yao; Mei, Yanjie; Roos, Hans-Görg The local discontinuous Galerkin method on layer-adapted meshes for time-dependent singularly perturbed convection-diffusion problems. (English) Zbl 07546688 Comput. Math. Appl. 117, 245-256 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{Y. Cheng} et al., Comput. Math. Appl. 117, 245--256 (2022; Zbl 07546688) Full Text: DOI OpenURL
Safari, Z.; Loghmani, G. B.; Ahmadinia, M. Convergence analysis of a LDG method for time-space tempered fractional diffusion equations with weakly singular solutions. (English) Zbl 07545429 J. Sci. Comput. 91, No. 2, Paper No. 68, 29 p. (2022). MSC: 65-XX 35R11 65M60 65M12 PDF BibTeX XML Cite \textit{Z. Safari} et al., J. Sci. Comput. 91, No. 2, Paper No. 68, 29 p. (2022; Zbl 07545429) Full Text: DOI OpenURL
Wang, Jiangxing; Pan, Kejia; Yang, Xiaofeng Convergence analysis of the fully discrete hybridizable discontinuous Galerkin method for the Allen-Cahn equation based on the invariant energy quadratization approach. (English) Zbl 07544571 J. Sci. Comput. 91, No. 2, Paper No. 49, 23 p. (2022). MSC: 65N30 65N12 35K61 PDF BibTeX XML Cite \textit{J. Wang} et al., J. Sci. Comput. 91, No. 2, Paper No. 49, 23 p. (2022; Zbl 07544571) Full Text: DOI OpenURL
Aretaki, Aikaterini; Karatzas, Efthymios N.; Katsouleas, Georgios Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems. (English) Zbl 07544570 J. Sci. Comput. 91, No. 2, Paper No. 48, 35 p. (2022). MSC: 65N30 65N85 76D07 76M10 PDF BibTeX XML Cite \textit{A. Aretaki} et al., J. Sci. Comput. 91, No. 2, Paper No. 48, 35 p. (2022; Zbl 07544570) Full Text: DOI OpenURL
Zeifang, Jonas; Schütz, Jochen Implicit two-derivative deferred correction time discretization for the discontinuous Galerkin method. (English) Zbl 07540378 J. Comput. Phys. 464, Article ID 111353, 24 p. (2022). MSC: 65Mxx 76Mxx 65Lxx PDF BibTeX XML Cite \textit{J. Zeifang} and \textit{J. Schütz}, J. Comput. Phys. 464, Article ID 111353, 24 p. (2022; Zbl 07540378) Full Text: DOI OpenURL
Hong, Xue; Qiu, Jing-Mei A generalized Eulerian-Lagrangian discontinuous Galerkin method for transport problems. (English) Zbl 07540344 J. Comput. Phys. 464, Article ID 111160, 22 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDF BibTeX XML Cite \textit{X. Hong} and \textit{J.-M. Qiu}, J. Comput. Phys. 464, Article ID 111160, 22 p. (2022; Zbl 07540344) Full Text: DOI OpenURL
Singh, Gautam; Natesan, Srinivasan Superconvergence error estimates of discontinuous Galerkin time stepping for singularly perturbed parabolic problems. (English) Zbl 07540329 Numer. Algorithms 90, No. 3, 1073-1090 (2022). MSC: 65M60 65N30 65M12 65M15 65N50 35K67 35B25 PDF BibTeX XML Cite \textit{G. Singh} and \textit{S. Natesan}, Numer. Algorithms 90, No. 3, 1073--1090 (2022; Zbl 07540329) Full Text: DOI OpenURL
Führer, Thomas; Heuer, Norbert; Karkulik, Michael MINRES for second-order PDEs with singular data. (English) Zbl 07538278 SIAM J. Numer. Anal. 60, No. 3, 1111-1135 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65K10 35J05 35B65 35A01 35A02 PDF BibTeX XML Cite \textit{T. Führer} et al., SIAM J. Numer. Anal. 60, No. 3, 1111--1135 (2022; Zbl 07538278) Full Text: DOI OpenURL
Xiong, Tao; Sun, Wenjun; Shi, Yi; Song, Peng High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations. (English) Zbl 07536794 J. Comput. Phys. 463, Article ID 111308, 29 p. (2022). MSC: 65Mxx 82Cxx 65Nxx PDF BibTeX XML Cite \textit{T. Xiong} et al., J. Comput. Phys. 463, Article ID 111308, 29 p. (2022; Zbl 07536794) Full Text: DOI OpenURL
Jiang, Haili; Tang, Huazhong; Wu, Kailiang Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields. (English) Zbl 07536787 J. Comput. Phys. 463, Article ID 111297, 41 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDF BibTeX XML Cite \textit{H. Jiang} et al., J. Comput. Phys. 463, Article ID 111297, 41 p. (2022; Zbl 07536787) Full Text: DOI OpenURL
Yang, Ruize; Xing, Yulong Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation. (English) Zbl 07536777 J. Comput. Phys. 463, Article ID 111278, 22 p. (2022). MSC: 65Mxx 35Qxx 35Lxx PDF BibTeX XML Cite \textit{R. Yang} and \textit{Y. Xing}, J. Comput. Phys. 463, Article ID 111278, 22 p. (2022; Zbl 07536777) Full Text: DOI OpenURL
Feng, Wenjing; Guo, Hui; Kang, Yue; Yang, Yang Bound-preserving discontinuous Galerkin methods with second-order implicit pressure explicit concentration time marching for compressible miscible displacements in porous media. (English) Zbl 07536754 J. Comput. Phys. 463, Article ID 111240, 21 p. (2022). MSC: 65Mxx 76Mxx 76Sxx PDF BibTeX XML Cite \textit{W. Feng} et al., J. Comput. Phys. 463, Article ID 111240, 21 p. (2022; Zbl 07536754) Full Text: DOI OpenURL
Feng, Xiaobing; Lewis, Thomas; Rapp, Aaron Dual-wind discontinuous Galerkin methods for stationary Hamilton-Jacobi equations and regularized Hamilton-Jacobi equations. (English) Zbl 07534232 Commun. Appl. Math. Comput. 4, No. 2, 563-596 (2022). MSC: 65N30 PDF BibTeX XML Cite \textit{X. Feng} et al., Commun. Appl. Math. Comput. 4, No. 2, 563--596 (2022; Zbl 07534232) Full Text: DOI OpenURL
Chen, Gang; Cockburn, Bernardo; Singler, John R.; Zhang, Yangwen Superconvergent interpolatory HDG methods for reaction diffusion equations. II: HHO-inspired methods. (English) Zbl 07534229 Commun. Appl. Math. Comput. 4, No. 2, 477-499 (2022). MSC: 65N30 35K58 PDF BibTeX XML Cite \textit{G. Chen} et al., Commun. Appl. Math. Comput. 4, No. 2, 477--499 (2022; Zbl 07534229) Full Text: DOI OpenURL
Baccouch, Mahboub Convergence and superconvergence of the local discontinuous Galerkin method for semilinear second-order elliptic problems on Cartesian grids. (English) Zbl 07534228 Commun. Appl. Math. Comput. 4, No. 2, 437-476 (2022). MSC: 65N12 65N15 65N30 PDF BibTeX XML Cite \textit{M. Baccouch}, Commun. Appl. Math. Comput. 4, No. 2, 437--476 (2022; Zbl 07534228) Full Text: DOI OpenURL
Wang, Yue; Gao, Fuzheng; Cui, Jintao A conforming discontinuous Galerkin finite element method for elliptic interface problems. (English) Zbl 1486.65267 J. Comput. Appl. Math. 412, Article ID 114304, 12 p. (2022). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{Y. Wang} et al., J. Comput. Appl. Math. 412, Article ID 114304, 12 p. (2022; Zbl 1486.65267) Full Text: DOI OpenURL
Messaï, Nadir-Alexandre; Pernet, Sebastien; Bouguerra, Abdesselam Directional \(\mathcal{H}^2\) Compression algorithm: optimisations and application to a discontinuous Galerkin BEM for the Helmholtz equation. (English) Zbl 07529240 Commun. Comput. Phys. 31, No. 5, 1585-1635 (2022). MSC: 35J05 65D05 65N38 65N30 PDF BibTeX XML Cite \textit{N.-A. Messaï} et al., Commun. Comput. Phys. 31, No. 5, 1585--1635 (2022; Zbl 07529240) Full Text: DOI OpenURL
He, Ying; Zhao, Xiaofei Numerical integrators for dispersion-managed KdV equation. (English) Zbl 1486.65143 Commun. Comput. Phys. 31, No. 4, 1180-1214 (2022). MSC: 65M12 35Q53 65M06 65M60 65M70 65M15 PDF BibTeX XML Cite \textit{Y. He} and \textit{X. Zhao}, Commun. Comput. Phys. 31, No. 4, 1180--1214 (2022; Zbl 1486.65143) Full Text: DOI OpenURL
Izem, Nouh; Seaid, Mohammed A well-balanced Runge-Kutta discontinuous Galerkin method for multilayer shallow water equations with non-flat bottom topography. (English) Zbl 07528513 Adv. Appl. Math. Mech. 14, No. 3, 725-758 (2022). MSC: 35L65 35L40 65M60 85A30 86A05 PDF BibTeX XML Cite \textit{N. Izem} and \textit{M. Seaid}, Adv. Appl. Math. Mech. 14, No. 3, 725--758 (2022; Zbl 07528513) Full Text: DOI OpenURL
Ntoukas, Gerasimos; Manzanero, Juan; Rubio, Gonzalo; Valero, Eusebio; Ferrer, Esteban An entropy-stable p-adaptive nodal discontinuous Galerkin for the coupled Navier-Stokes/Cahn-Hilliard system. (English) Zbl 07527720 J. Comput. Phys. 458, Article ID 111093, 33 p. (2022). MSC: 65Mxx 76Mxx 76Txx PDF BibTeX XML Cite \textit{G. Ntoukas} et al., J. Comput. Phys. 458, Article ID 111093, 33 p. (2022; Zbl 07527720) Full Text: DOI OpenURL
Sun, Jiawei; Shu, Chi-Wang; Xing, Yulong Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. (English) Zbl 07525174 J. Comput. Phys. 461, Article ID 111199, 30 p. (2022). MSC: 65Mxx 60Hxx 35Qxx PDF BibTeX XML Cite \textit{J. Sun} et al., J. Comput. Phys. 461, Article ID 111199, 30 p. (2022; Zbl 07525174) Full Text: DOI OpenURL
Bai, Xiao; Li, Maojun Simulating compressible two-phase flows with sharp-interface discontinuous Galerkin methods based on ghost fluid method and cut cell scheme. (English) Zbl 07525117 J. Comput. Phys. 459, Article ID 111107, 34 p. (2022). MSC: 76Mxx 65Mxx 76Txx PDF BibTeX XML Cite \textit{X. Bai} and \textit{M. Li}, J. Comput. Phys. 459, Article ID 111107, 34 p. (2022; Zbl 07525117) Full Text: DOI OpenURL
Shiroto, Takashi; Matsuyama, Akinobu; Aiba, Nobuyuki; Yagi, Masatoshi A mass-energy-conserving discontinuous Galerkin scheme for the isotropic multispecies Rosenbluth-Fokker-Planck equation. (English) Zbl 07524804 J. Comput. Phys. 449, Article ID 110813, 11 p. (2022). MSC: 65Mxx 82Cxx 76Mxx PDF BibTeX XML Cite \textit{T. Shiroto} et al., J. Comput. Phys. 449, Article ID 110813, 11 p. (2022; Zbl 07524804) Full Text: DOI OpenURL
Persson, Per-Olof; Stamm, Benjamin A discontinuous Galerkin method for shock capturing using a mixed high-order and sub-grid low-order approximation space. (English) Zbl 07524766 J. Comput. Phys. 449, Article ID 110765, 16 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDF BibTeX XML Cite \textit{P.-O. Persson} and \textit{B. Stamm}, J. Comput. Phys. 449, Article ID 110765, 16 p. (2022; Zbl 07524766) Full Text: DOI OpenURL
Yu, Xinyue; Li, Jichun; Shu, Chi-Wang Local discontinuous Galerkin methods for the carpet cloak model. (English) Zbl 1485.65107 Ann. Math. Sci. Appl. 7, No. 1, 97-137 (2022). MSC: 65M60 65M12 PDF BibTeX XML Cite \textit{X. Yu} et al., Ann. Math. Sci. Appl. 7, No. 1, 97--137 (2022; Zbl 1485.65107) Full Text: DOI OpenURL
Cockburn, Bernardo; Xia, Shiqiang An adjoint-based adaptive error approximation of functionals by the hybridizable discontinuous Galerkin method for second-order elliptic equations. (English) Zbl 07523823 J. Comput. Phys. 457, Article ID 111078, 21 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDF BibTeX XML Cite \textit{B. Cockburn} and \textit{S. Xia}, J. Comput. Phys. 457, Article ID 111078, 21 p. (2022; Zbl 07523823) Full Text: DOI OpenURL
Lei, Nuo; Cheng, Juan; Shu, Chi-Wang High order entropy stable and positivity-preserving discontinuous Galerkin method for the nonlocal electron heat transport model. (English) Zbl 07518051 J. Comput. Phys. 454, Article ID 110945, 34 p. (2022). MSC: 65Mxx 35Lxx 35Qxx PDF BibTeX XML Cite \textit{N. Lei} et al., J. Comput. Phys. 454, Article ID 110945, 34 p. (2022; Zbl 07518051) Full Text: DOI OpenURL
Shi, A.; Persson, P.-O.; Zahr, M. J. Implicit shock tracking for unsteady flows by the method of lines. (English) Zbl 07518048 J. Comput. Phys. 454, Article ID 110906, 20 p. (2022). MSC: 76Mxx 65Mxx 35Lxx PDF BibTeX XML Cite \textit{A. Shi} et al., J. Comput. Phys. 454, Article ID 110906, 20 p. (2022; Zbl 07518048) Full Text: DOI OpenURL
Danis, Mustafa E.; Yan, Jue A new direct discontinuous Galerkin method with interface correction for two-dimensional compressible Navier-Stokes equations. (English) Zbl 07517734 J. Comput. Phys. 452, Article ID 110904, 21 p. (2022). MSC: 65Mxx 65Nxx 76Mxx PDF BibTeX XML Cite \textit{M. E. Danis} and \textit{J. Yan}, J. Comput. Phys. 452, Article ID 110904, 21 p. (2022; Zbl 07517734) Full Text: DOI OpenURL
Antonietti, P. F.; Manuzzi, E. Refinement of polygonal grids using convolutional neural networks with applications to polygonal discontinuous Galerkin and virtual element methods. (English) Zbl 07517731 J. Comput. Phys. 452, Article ID 110900, 20 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDF BibTeX XML Cite \textit{P. F. Antonietti} and \textit{E. Manuzzi}, J. Comput. Phys. 452, Article ID 110900, 20 p. (2022; Zbl 07517731) Full Text: DOI OpenURL
Bessemoulin-Chatard, Marianne; Filbet, Francis On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. (English) Zbl 07517167 J. Comput. Phys. 451, Article ID 110881, 28 p. (2022). MSC: 65Mxx 35Qxx 76Xxx PDF BibTeX XML Cite \textit{M. Bessemoulin-Chatard} and \textit{F. Filbet}, J. Comput. Phys. 451, Article ID 110881, 28 p. (2022; Zbl 07517167) Full Text: DOI OpenURL
Hong, Jialin; Hou, Baohui; Sun, Liying Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise. (English) Zbl 07517148 J. Comput. Phys. 451, Article ID 110829, 20 p. (2022). MSC: 60Hxx 65Mxx 65Cxx PDF BibTeX XML Cite \textit{J. Hong} et al., J. Comput. Phys. 451, Article ID 110829, 20 p. (2022; Zbl 07517148) Full Text: DOI OpenURL
Massa, F.; Ostrowski, L.; Bassi, F.; Rohde, C. An artificial equation of state based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier-Stokes equations. (English) Zbl 07516795 J. Comput. Phys. 448, Article ID 110705, 25 p. (2022). MSC: 76Mxx 76Dxx 65Mxx PDF BibTeX XML Cite \textit{F. Massa} et al., J. Comput. Phys. 448, Article ID 110705, 25 p. (2022; Zbl 07516795) Full Text: DOI OpenURL
Valseth, Eirik; Dawson, Clint A stable space-time FE method for the shallow water equations. (English) Zbl 1484.76045 Comput. Geosci. 26, No. 1, 53-70 (2022). MSC: 76M10 65M60 PDF BibTeX XML Cite \textit{E. Valseth} and \textit{C. Dawson}, Comput. Geosci. 26, No. 1, 53--70 (2022; Zbl 1484.76045) Full Text: DOI OpenURL
Zhao, Ying; Ding, Dazhi A VSIE based time domain discontinuous Galerkin method for composite conducting dispersive dielectric objects. (English) Zbl 07511084 Eng. Anal. Bound. Elem. 138, 133-139 (2022). MSC: 78-XX 81-XX PDF BibTeX XML Cite \textit{Y. Zhao} and \textit{D. Ding}, Eng. Anal. Bound. Elem. 138, 133--139 (2022; Zbl 07511084) Full Text: DOI OpenURL
Qian, Yanxia; Wang, Fei; Zhang, Yongchao; Han, Weimin A mixed discontinuous Galerkin method for an unsteady incompressible Darcy equation. (English) Zbl 1487.65156 Appl. Anal. 101, No. 4, 1176-1198 (2022). MSC: 65M60 65M06 65N30 65M15 76S05 49J40 35Q35 PDF BibTeX XML Cite \textit{Y. Qian} et al., Appl. Anal. 101, No. 4, 1176--1198 (2022; Zbl 1487.65156) Full Text: DOI OpenURL
Wei, Leilei; Wei, Xiaojing; Tang, Bo Numerical analysis of variable-order fractional KdV-Burgers-Kuramoto equation. (English) Zbl 07510633 Electron Res. Arch. 30, No. 4, 1263-1281 (2022). MSC: 65Mxx PDF BibTeX XML Cite \textit{L. Wei} et al., Electron Res. Arch. 30, No. 4, 1263--1281 (2022; Zbl 07510633) Full Text: DOI OpenURL
Xu, Yuan; Zhang, Qiang Superconvergence analysis of the Runge-Kutta discontinuous Galerkin method with upwind-biased numerical flux for two-dimensional linear hyperbolic equation. (English) Zbl 07508617 Commun. Appl. Math. Comput. 4, No. 1, 319-352 (2022). MSC: 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{Q. Zhang}, Commun. Appl. Math. Comput. 4, No. 1, 319--352 (2022; Zbl 07508617) Full Text: DOI OpenURL
Wang, Haijin; Zhang, Qiang The direct discontinuous Galerkin methods with implicit-explicit Runge-Kutta time marching for linear convection-diffusion problems. (English) Zbl 07508615 Commun. Appl. Math. Comput. 4, No. 1, 271-292 (2022). MSC: 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Q. Zhang}, Commun. Appl. Math. Comput. 4, No. 1, 271--292 (2022; Zbl 07508615) Full Text: DOI OpenURL
Tao, Qi; Xu, Yan; Li, Xiaozhou Negative norm estimates for arbitrary Lagrangian-Eulerian discontinuous Galerkin method for nonlinear hyperbolic equations. (English) Zbl 07508614 Commun. Appl. Math. Comput. 4, No. 1, 250-270 (2022). MSC: 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{Q. Tao} et al., Commun. Appl. Math. Comput. 4, No. 1, 250--270 (2022; Zbl 07508614) Full Text: DOI OpenURL
Dolejší, Vít; Roskovec, Filip Goal-oriented anisotropic \(hp\)-adaptive discontinuous Galerkin method for the Euler equations. (English) Zbl 07508610 Commun. Appl. Math. Comput. 4, No. 1, 143-179 (2022). MSC: 65N30 65N50 76H05 PDF BibTeX XML Cite \textit{V. Dolejší} and \textit{F. Roskovec}, Commun. Appl. Math. Comput. 4, No. 1, 143--179 (2022; Zbl 07508610) Full Text: DOI OpenURL
Zhang, Hongjuan; Wu, Boying; Meng, Xiong A local discontinuous Galerkin method with generalized alternating fluxes for 2D nonlinear Schrödinger equations. (English) Zbl 07508608 Commun. Appl. Math. Comput. 4, No. 1, 84-107 (2022). MSC: 65M60 65M12 65M15 PDF BibTeX XML Cite \textit{H. Zhang} et al., Commun. Appl. Math. Comput. 4, No. 1, 84--107 (2022; Zbl 07508608) Full Text: DOI OpenURL
Tao, Zhanjing; Huang, Juntao; Liu, Yuan; Guo, Wei; Cheng, Yingda An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrödinger equations. (English) Zbl 07508607 Commun. Appl. Math. Comput. 4, No. 1, 60-83 (2022). MSC: 65M60 PDF BibTeX XML Cite \textit{Z. Tao} et al., Commun. Appl. Math. Comput. 4, No. 1, 60--83 (2022; Zbl 07508607) Full Text: DOI OpenURL
Filbet, Francis; Xiong, Tao Conservative discontinuous Galerkin/Hermite spectral method for the Vlasov-Poisson system. (English) Zbl 07508606 Commun. Appl. Math. Comput. 4, No. 1, 34-59 (2022). MSC: 76P05 82C40 65N08 65N35 PDF BibTeX XML Cite \textit{F. Filbet} and \textit{T. Xiong}, Commun. Appl. Math. Comput. 4, No. 1, 34--59 (2022; Zbl 07508606) Full Text: DOI OpenURL
Cai, Xiaofeng; Guo, Wei; Qiu, Jing-Mei Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations. (English) Zbl 07508605 Commun. Appl. Math. Comput. 4, No. 1, 3-33 (2022). MSC: 65M60 65M25 PDF BibTeX XML Cite \textit{X. Cai} et al., Commun. Appl. Math. Comput. 4, No. 1, 3--33 (2022; Zbl 07508605) Full Text: DOI OpenURL
Gómez, Sergio; Moiola, Andrea A space-time Trefftz discontinuous Galerkin method for the linear Schrödinger equation. (English) Zbl 07506905 SIAM J. Numer. Anal. 60, No. 2, 688-714 (2022). Reviewer: Yan Xu (Hefei) MSC: 65M60 78M10 35Q41 65M12 65M15 35B45 35J05 35A01 35A02 PDF BibTeX XML Cite \textit{S. Gómez} and \textit{A. Moiola}, SIAM J. Numer. Anal. 60, No. 2, 688--714 (2022; Zbl 07506905) Full Text: DOI OpenURL
Hochbruck, Marlis; Köhler, Jonas Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. (English) Zbl 07501302 Numer. Math. 150, No. 3, 893-927 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 PDF BibTeX XML Cite \textit{M. Hochbruck} and \textit{J. Köhler}, Numer. Math. 150, No. 3, 893--927 (2022; Zbl 07501302) Full Text: DOI OpenURL
Becher, Simon; Matthies, Gunar Unified analysis for variational time discretizations of higher order and higher regularity applied to non-stiff ODEs. (English) Zbl 1485.65077 Numer. Algorithms 89, No. 4, 1533-1565 (2022). MSC: 65L05 65L20 65L60 PDF BibTeX XML Cite \textit{S. Becher} and \textit{G. Matthies}, Numer. Algorithms 89, No. 4, 1533--1565 (2022; Zbl 1485.65077) Full Text: DOI OpenURL
McLean, William; Mustapha, Kassem Uniform stability for a spatially discrete, subdiffusive Fokker-Planck equation. (English) Zbl 07496453 Numer. Algorithms 89, No. 4, 1441-1463 (2022). MSC: 65-XX 26A33 35K20 65M12 65M60 PDF BibTeX XML Cite \textit{W. McLean} and \textit{K. Mustapha}, Numer. Algorithms 89, No. 4, 1441--1463 (2022; Zbl 07496453) Full Text: DOI OpenURL
Zhou, Li; Li, Yunzhang An LDG method for stochastic Cahn-Hilliard type equation driven by general multiplicative noise involving second-order derivative. (English) Zbl 1482.65016 Commun. Comput. Phys. 31, No. 2, 516-547 (2022). MSC: 65C30 60H35 PDF BibTeX XML Cite \textit{L. Zhou} and \textit{Y. Li}, Commun. Comput. Phys. 31, No. 2, 516--547 (2022; Zbl 1482.65016) Full Text: DOI OpenURL
Nastasi, Giovanni; Camiola, V. Dario; Romano, Vittorio Direct simulation of charge transport in graphene nanoribbons. (English) Zbl 1483.82011 Commun. Comput. Phys. 31, No. 2, 449-494 (2022). MSC: 82D37 82C70 65M60 82M10 PDF BibTeX XML Cite \textit{G. Nastasi} et al., Commun. Comput. Phys. 31, No. 2, 449--494 (2022; Zbl 1483.82011) Full Text: DOI OpenURL
Li, Yunzhang A high-order numerical method for BSPDEs with applications to mathematical finance. (English) Zbl 1484.65016 SIAM J. Financ. Math. 13, No. 1, 147-178 (2022). MSC: 65C30 60H15 65M60 65M12 65M15 91G60 PDF BibTeX XML Cite \textit{Y. Li}, SIAM J. Financ. Math. 13, No. 1, 147--178 (2022; Zbl 1484.65016) Full Text: DOI OpenURL
Tian, Lulu; Guo, Hui; Jia, Rui; Yang, Yang Stability analysis and error estimates of fully-discrete local discontinuous Galerkin methods for simulating wormhole propagation with Darcy-Forchheimer model. (English) Zbl 07489831 J. Comput. Appl. Math. 409, Article ID 114158, 25 p. (2022). MSC: 65M60 65M12 65M15 76Nxx 76S05 PDF BibTeX XML Cite \textit{L. Tian} et al., J. Comput. Appl. Math. 409, Article ID 114158, 25 p. (2022; Zbl 07489831) Full Text: DOI OpenURL
Li, Yanjun; Bi, Hai; Yang, Yidu The a priori and a posteriori error estimates of DG method for the Steklov eigenvalue problem in inverse scattering. (English) Zbl 07488730 J. Sci. Comput. 91, No. 1, Paper No. 20, 32 p. (2022). MSC: 65N25 65N30 65N15 PDF BibTeX XML Cite \textit{Y. Li} et al., J. Sci. Comput. 91, No. 1, Paper No. 20, 32 p. (2022; Zbl 07488730) Full Text: DOI OpenURL
Xu, Yuan; Zhao, Di; Zhang, Qiang Local error estimates for Runge-Kutta discontinuous Galerkin methods with upwind-biased numerical fluxes for a linear hyperbolic equation in one-dimension with discontinuous initial data. (English) Zbl 07488721 J. Sci. Comput. 91, No. 1, Paper No. 11, 30 p. (2022). MSC: 65M60 65M22 65N30 65M12 65M15 PDF BibTeX XML Cite \textit{Y. Xu} et al., J. Sci. Comput. 91, No. 1, Paper No. 11, 30 p. (2022; Zbl 07488721) Full Text: DOI OpenURL
Leng, Haitao; Chen, Yanping A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source. (English) Zbl 07488336 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 385-406 (2022). MSC: 65K10 65M50 PDF BibTeX XML Cite \textit{H. Leng} and \textit{Y. Chen}, ESAIM, Math. Model. Numer. Anal. 56, No. 2, 385--406 (2022; Zbl 07488336) Full Text: DOI OpenURL
Joshaghani, M. S.; Riviere, B.; Sekachev, M. Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow. (English) Zbl 07487676 Comput. Methods Appl. Mech. Eng. 391, Article ID 114550, 31 p. (2022). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{M. S. Joshaghani} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114550, 31 p. (2022; Zbl 07487676) Full Text: DOI arXiv OpenURL
Vila-Pérez, Jordi; Giacomini, Matteo; Sevilla, Ruben; Huerta, Antonio A non-oscillatory face-centred finite volume method for compressible flows. (English) Zbl 07487205 Comput. Fluids 235, Article ID 105272, 17 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{J. Vila-Pérez} et al., Comput. Fluids 235, Article ID 105272, 17 p. (2022; Zbl 07487205) Full Text: DOI arXiv OpenURL
May, Sandra; Streitbürger, Florian DoD stabilization for non-linear hyperbolic conservation laws on cut cell meshes in one dimension. (English) Zbl 07483686 Appl. Math. Comput. 419, Article ID 126854, 17 p. (2022). MSC: 65Mxx 35Lxx 65Nxx PDF BibTeX XML Cite \textit{S. May} and \textit{F. Streitbürger}, Appl. Math. Comput. 419, Article ID 126854, 17 p. (2022; Zbl 07483686) Full Text: DOI arXiv OpenURL
Giuliani, Andrew A two-dimensional stabilized discontinuous Galerkin method on curvilinear embedded boundary grids. (English) Zbl 07482210 SIAM J. Sci. Comput. 44, No. 1, A389-A415 (2022). Reviewer: Hendrik Ranocha (Hamburg) MSC: 65M60 65M20 35L65 PDF BibTeX XML Cite \textit{A. Giuliani}, SIAM J. Sci. Comput. 44, No. 1, A389--A415 (2022; Zbl 07482210) Full Text: DOI arXiv OpenURL
Cheng, Yao; Yan, Li; Wang, Xuesong; Liu, Yanhua Optimal maximum-norm estimate of the LDG method for singularly perturbed convection-diffusion problem. (English) Zbl 07479027 Appl. Math. Lett. 128, Article ID 107947, 11 p. (2022). MSC: 65L11 65L60 65L50 65L70 34E15 PDF BibTeX XML Cite \textit{Y. Cheng} et al., Appl. Math. Lett. 128, Article ID 107947, 11 p. (2022; Zbl 07479027) Full Text: DOI OpenURL
Zhong, Liuqiang; Qiu, Dongxue; Peng, Jie Two-level iterative algorithms for two-dimensional H(curl)-elliptic problem with a symmetry interior penalty discontinuous Galerkin method. (English) Zbl 07478976 Appl. Math. Lett. 127, Article ID 107821, 5 p. (2022). MSC: 65N30 65N55 65N15 78A25 78M10 PDF BibTeX XML Cite \textit{L. Zhong} et al., Appl. Math. Lett. 127, Article ID 107821, 5 p. (2022; Zbl 07478976) Full Text: DOI OpenURL
Fu, Pei; Frachon, Thomas; Kreiss, Gunilla; Zahedi, Sara High order discontinuous cut finite element methods for linear hyperbolic conservation laws with an interface. (English) Zbl 07477391 J. Sci. Comput. 90, No. 3, Paper No. 84, 39 p. (2022). MSC: 65M60 65M06 65N30 65M12 35L65 76Q05 76M10 35Q35 PDF BibTeX XML Cite \textit{P. Fu} et al., J. Sci. Comput. 90, No. 3, Paper No. 84, 39 p. (2022; Zbl 07477391) Full Text: DOI arXiv OpenURL
Xi, Yingxia; Ji, Xia A new method using \(C^0\)IPG for the biharmonic eigenvalue problem. (English) Zbl 07477388 J. Sci. Comput. 90, No. 3, Paper No. 81, 18 p. (2022). MSC: 65N25 65N30 47B07 PDF BibTeX XML Cite \textit{Y. Xi} and \textit{X. Ji}, J. Sci. Comput. 90, No. 3, Paper No. 81, 18 p. (2022; Zbl 07477388) Full Text: DOI OpenURL
Carstensen, Carsten; Nataraj, Neela Lowest-order equivalent nonstandard finite element methods for biharmonic plates. (English) Zbl 1483.65177 ESAIM, Math. Model. Numer. Anal. 56, No. 1, 41-78 (2022). MSC: 65N30 65N12 65N15 65N50 31A30 74K20 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{N. Nataraj}, ESAIM, Math. Model. Numer. Anal. 56, No. 1, 41--78 (2022; Zbl 1483.65177) Full Text: DOI arXiv OpenURL
Huang, Yunqing; Li, Jichun; Li, Chanjie; Qu, Kai Discontinuous Galerkin discretizations and analysis for the Cohen-Monk PML model. (English) Zbl 1483.65156 J. Comput. Appl. Math. 407, Article ID 114031, 19 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 78A25 78M10 35Q60 PDF BibTeX XML Cite \textit{Y. Huang} et al., J. Comput. Appl. Math. 407, Article ID 114031, 19 p. (2022; Zbl 1483.65156) Full Text: DOI OpenURL
Medina, Emmanuel Y.; Toledo, Elson M.; Igreja, Iury; Rocha, Bernardo M. A stabilized hybrid discontinuous Galerkin method for the Cahn-Hilliard equation. (English) Zbl 1484.65229 J. Comput. Appl. Math. 406, Article ID 114025, 16 p. (2022). MSC: 65M60 65M06 65N30 65M12 76M10 35K55 92C37 92C50 35Q92 PDF BibTeX XML Cite \textit{E. Y. Medina} et al., J. Comput. Appl. Math. 406, Article ID 114025, 16 p. (2022; Zbl 1484.65229) Full Text: DOI OpenURL
Liu, Yong; Lu, Jianfang; Shu, Chi-Wang An essentially oscillation-free discontinuous Galerkin method for hyperbolic systems. (English) Zbl 1484.65226 SIAM J. Sci. Comput. 44, No. 1, A230-A259 (2022). MSC: 65M60 65L06 65N30 35L03 35B05 76N10 35Q31 PDF BibTeX XML Cite \textit{Y. Liu} et al., SIAM J. Sci. Comput. 44, No. 1, A230--A259 (2022; Zbl 1484.65226) Full Text: DOI OpenURL
Duru, Kenneth; Rannabauer, Leonhard; Gabriel, Alice-Agnes; Ling, On Ki Angel; Igel, Heiner; Bader, Michael A stable discontinuous Galerkin method for linear elastodynamics in 3D geometrically complex elastic solids using physics based numerical fluxes. (English) Zbl 07464512 Comput. Methods Appl. Mech. Eng. 389, Article ID 114386, 33 p. (2022). MSC: 74-XX 65-XX PDF BibTeX XML Cite \textit{K. Duru} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114386, 33 p. (2022; Zbl 07464512) Full Text: DOI arXiv OpenURL
Basile, Francesca; Chapelier, Jean-Baptiste; de la Llave Plata, Marta; Laraufie, Romain; Frey, Pascal Unstructured \(h\)- and hp-adaptive strategies for discontinuous Galerkin methods based on a posteriori error estimation for compressible flows. (English) Zbl 07464446 Comput. Fluids 233, Article ID 105245, 21 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{F. Basile} et al., Comput. Fluids 233, Article ID 105245, 21 p. (2022; Zbl 07464446) Full Text: DOI OpenURL
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 1486.65160 SIAM J. Sci. Comput. 44, No. 1, B1-B28 (2022). Reviewer: Yan Xu (Hefei) MSC: 65M60 65M06 65N30 65M12 65M15 76Q05 74J30 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., SIAM J. Sci. Comput. 44, No. 1, B1--B28 (2022; Zbl 1486.65160) Full Text: DOI arXiv OpenURL
Kochi, S. R. Siva Prasad; Ramakrishna, M. A compact subcell WENO limiting strategy using immediate neighbors for Runge-Kutta discontinuous Galerkin methods for unstructured meshes. (English) Zbl 07454830 J. Sci. Comput. 90, No. 1, Paper No. 48, 24 p. (2022). MSC: 65-XX 35L65 35L67 76L05 PDF BibTeX XML Cite \textit{S. R. S. P. Kochi} and \textit{M. Ramakrishna}, J. Sci. Comput. 90, No. 1, Paper No. 48, 24 p. (2022; Zbl 07454830) Full Text: DOI arXiv 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: 65N30 65N15 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
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 1484.76043 J. Comput. Appl. Math. 404, Article ID 113890, 26 p. (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76S05 76L05 74J40 65M60 PDF BibTeX XML Cite \textit{X. Liu} et al., J. Comput. Appl. Math. 404, Article ID 113890, 26 p. (2022; Zbl 1484.76043) 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
Chung, Eric T.; Kalachikova, Uygulaana; Vasilyeva, Maria; Alekseev, Valentin Generalized multiscale discontinuous Galerkin method for convection-diffusion equation in perforated media. (English) Zbl 07442896 Math. Comput. Simul. 193, 666-688 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{E. T. Chung} et al., Math. Comput. Simul. 193, 666--688 (2022; Zbl 07442896) 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
Brio, M.; Caputo, J.-G.; Kravitz, H. Spectral solutions of PDEs on networks. (English) Zbl 1484.65245 Appl. Numer. Math. 172, 99-117 (2022). MSC: 65M70 05C12 35P05 65M06 65M60 PDF BibTeX XML Cite \textit{M. Brio} et al., Appl. Numer. Math. 172, 99--117 (2022; Zbl 1484.65245) Full Text: DOI arXiv 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
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
Solano, Manuel; Vargas M., Felipe An unfitted HDG method for Oseen equations. (English) Zbl 1477.65246 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 1477.65246) Full Text: DOI OpenURL
Li, Ruo; Yang, Fanyi A sequential least squares method for elliptic equations in non-divergence form. (English) Zbl 07538536 Numer. Math., Theory Methods Appl. 14, No. 4, 1042-1067 (2021). MSC: 65N30 PDF BibTeX XML Cite \textit{R. Li} and \textit{F. Yang}, Numer. Math., Theory Methods Appl. 14, No. 4, 1042--1067 (2021; Zbl 07538536) Full Text: DOI OpenURL
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for linear hyperbolic equations with even degree polynomial approximations. (English) Zbl 07533065 J. Comput. Math. 39, No. 4, 518-537 (2021). MSC: 65M60 65M15 PDF BibTeX XML Cite \textit{Y. Liu} et al., J. Comput. Math. 39, No. 4, 518--537 (2021; Zbl 07533065) Full Text: DOI OpenURL
Eikeland, Erik; Marcinkowski, Leszek; Rahman, Talal An adaptively enriched coarse space for Schwarz preconditioners for \(P_1\) discontinuous Galerkin multiscale finite element problems. (English) Zbl 07528323 IMA J. Numer. Anal. 41, No. 4, 2873-2895 (2021). MSC: 65-XX PDF BibTeX XML Cite \textit{E. Eikeland} et al., IMA J. Numer. Anal. 41, No. 4, 2873--2895 (2021; Zbl 07528323) Full Text: DOI OpenURL
Bansal, Pratyuksh; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph Space-time discontinuous Galerkin approximation of acoustic waves with point singularities. (English) Zbl 07528299 IMA J. Numer. Anal. 41, No. 3, 2056-2109 (2021). MSC: 65-XX PDF BibTeX XML Cite \textit{P. Bansal} et al., IMA J. Numer. Anal. 41, No. 3, 2056--2109 (2021; Zbl 07528299) Full Text: DOI OpenURL