Cai, Xiaofeng; Qiu, Jing-Mei Eulerian-Lagrangian Runge-Kutta discontinuous Galerkin method for transport simulations on unstructured meshes. (English) Zbl 07569627 SIAM J. Sci. Comput. 44, No. 4, A2037-A2060 (2022). MSC: 65M25 65M60 76M10 PDF BibTeX XML Cite \textit{X. Cai} and \textit{J.-M. Qiu}, SIAM J. Sci. Comput. 44, No. 4, A2037--A2060 (2022; Zbl 07569627) Full Text: DOI OpenURL
Lu, Peipei; Rupp, Andreas; Kanschat, Guido Homogeneous multigrid for embedded discontinuous Galerkin methods. (English) Zbl 07569616 BIT 62, No. 3, 1029-1048 (2022). MSC: 65F10 65N30 65N50 PDF BibTeX XML Cite \textit{P. Lu} et al., BIT 62, No. 3, 1029--1048 (2022; Zbl 07569616) Full Text: DOI OpenURL
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
Montoya, Tristan; Zingg, David W. A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property. (English) Zbl 07568979 J. Sci. Comput. 92, No. 3, Paper No. 87, 51 p. (2022). MSC: 65M12 65M60 65M70 PDF BibTeX XML Cite \textit{T. Montoya} and \textit{D. W. Zingg}, J. Sci. Comput. 92, No. 3, Paper No. 87, 51 p. (2022; Zbl 07568979) Full Text: DOI OpenURL
Fu, Guosheng A high-order velocity-based discontinuous Galerkin scheme for the shallow water equations: local conservation, entropy stability, well-balanced property, and positivity preservation. (English) Zbl 07568978 J. Sci. Comput. 92, No. 3, Paper No. 86, 33 p. (2022). MSC: 65N30 65N12 76S05 76D07 PDF BibTeX XML Cite \textit{G. Fu}, J. Sci. Comput. 92, No. 3, Paper No. 86, 33 p. (2022; Zbl 07568978) 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
Dong, Zhaonan; Georgoulis, Emmanuil H. Robust interior penalty discontinuous Galerkin methods. (English) Zbl 07568377 J. Sci. Comput. 92, No. 2, Paper No. 57, 23 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDF BibTeX XML Cite \textit{Z. Dong} and \textit{E. H. Georgoulis}, J. Sci. Comput. 92, No. 2, Paper No. 57, 23 p. (2022; Zbl 07568377) Full Text: DOI OpenURL
Baier-Reinio, Aaron; Rhebergen, Sander; Wells, Garth N. Analysis of pressure-robust embedded-hybridized discontinuous Galerkin methods for the Stokes problem under minimal regularity. (English) Zbl 07568022 J. Sci. Comput. 92, No. 2, Paper No. 51, 25 p. (2022). MSC: 65N12 65N15 65N30 76D07 PDF BibTeX XML Cite \textit{A. Baier-Reinio} et al., J. Sci. Comput. 92, No. 2, Paper No. 51, 25 p. (2022; Zbl 07568022) Full Text: DOI OpenURL
Abdelmalik, M. R. A.; van der Woude, D. A. M.; van Brummelen, E. H. Entropy bounds for the space-time discontinuous Galerkin finite element moment method applied to the BGK-Boltzmann equation. (English) Zbl 07566965 Comput. Methods Appl. Mech. Eng. 398, Article ID 115162, 31 p. (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{M. R. A. Abdelmalik} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115162, 31 p. (2022; Zbl 07566965) 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
Li, Jiaqi; Demkowicz, Leszek An \(L^p\)-DPG method with application to 2D convection-diffusion problems. (English) Zbl 07566799 Comput. Methods Appl. Math. 22, No. 3, 649-662 (2022). MSC: 65N30 PDF BibTeX XML Cite \textit{J. Li} and \textit{L. Demkowicz}, Comput. Methods Appl. Math. 22, No. 3, 649--662 (2022; Zbl 07566799) 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
Etangsale, Grégory; Fahs, Marwan; Fontaine, Vincent; Rajaonison, Nalitiana Improved error estimates of hybridizable interior penalty methods using a variable penalty for highly anisotropic diffusion problems. (English) Zbl 07566242 Comput. Math. Appl. 119, 89-99 (2022). MSC: 65-XX 62-XX PDF BibTeX XML Cite \textit{G. Etangsale} et al., Comput. Math. Appl. 119, 89--99 (2022; Zbl 07566242) Full Text: DOI OpenURL
Li, Meng; Luo, Xianbing An EMC-HDG scheme for the convection-diffusion equation with random diffusivity. (English) Zbl 07565434 Numer. Algorithms 90, No. 4, 1755-1776 (2022). MSC: 35Q86 60H35 65C05 65M15 PDF BibTeX XML Cite \textit{M. Li} and \textit{X. Luo}, Numer. Algorithms 90, No. 4, 1755--1776 (2022; Zbl 07565434) 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
Xu, Ziyao; Shu, Chi-Wang High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations. (English) Zbl 07561087 J. Comput. Phys. 466, Article ID 111410, 26 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDF BibTeX XML Cite \textit{Z. Xu} and \textit{C.-W. Shu}, J. Comput. Phys. 466, Article ID 111410, 26 p. (2022; Zbl 07561087) Full Text: DOI OpenURL
Li, Lingquan; Liu, Xiaodong; Luo, Hong A reconstructed discontinuous Galerkin method based on variational formulation for compressible flows. (English) Zbl 07561083 J. Comput. Phys. 466, Article ID 111406, 30 p. (2022). MSC: 65Mxx 76Mxx 76Nxx PDF BibTeX XML Cite \textit{L. Li} et al., J. Comput. Phys. 466, Article ID 111406, 30 p. (2022; Zbl 07561083) 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
Yeung, Tak Shing Au; Cheung, Ka Chun; Chung, Eric T.; Fu, Shubin; Qian, Jianliang Learning rays via deep neural network in a ray-based IPDG method for high-frequency Helmholtz equations in inhomogeneous media. (English) Zbl 07561051 J. Comput. Phys. 465, Article ID 111380, 22 p. (2022). MSC: 65Nxx 78Axx 35Jxx PDF BibTeX XML Cite \textit{T. S. A. Yeung} et al., J. Comput. Phys. 465, Article ID 111380, 22 p. (2022; Zbl 07561051) 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
Sánchez, Manuel A.; Du, Shukai; Cockburn, Bernardo; Nguyen, Ngoc-Cuong; Peraire, Jaime Symplectic Hamiltonian finite element methods for electromagnetics. (English) Zbl 07560339 Comput. Methods Appl. Mech. Eng. 396, Article ID 114969, 27 p. (2022). MSC: 65M60 74H15 74J05 74S05 PDF BibTeX XML Cite \textit{M. A. Sánchez} et al., Comput. Methods Appl. Mech. Eng. 396, Article ID 114969, 27 p. (2022; Zbl 07560339) 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
Al Jahdali, R.; Dalcin, L.; Boukharfane, R.; Nolasco, I. R.; Keyes, D. E.; Parsani, M. Optimized explicit Runge-Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics. (English) Zbl 07546696 Comput. Math. Appl. 118, 1-17 (2022). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{R. Al Jahdali} et al., Comput. Math. Appl. 118, 1--17 (2022; Zbl 07546696) Full Text: DOI OpenURL
Antonietti, Paola F.; Facciolà, Chiara; Verani, Marco Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures. (English) Zbl 07546662 Comput. Math. Appl. 116, 116-139 (2022). MSC: 76-XX 74-XX PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., Comput. Math. Appl. 116, 116--139 (2022; Zbl 07546662) 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
Masri, Rami; Liu, Chen; Riviere, Beatrice A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence. (English) Zbl 07541886 Math. Comput. 91, No. 336, 1625-1654 (2022). MSC: 65M60 65M22 65N30 65M12 65M15 76D05 35Q30 PDF BibTeX XML Cite \textit{R. Masri} et al., Math. Comput. 91, No. 336, 1625--1654 (2022; Zbl 07541886) 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
Tan, Meiqi; Cheng, Juan; Shu, Chi-Wang Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations. (English) Zbl 07540358 J. Comput. Phys. 464, Article ID 111314, 25 p. (2022). MSC: 65Mxx 35Qxx 35Kxx PDF BibTeX XML Cite \textit{M. Tan} et al., J. Comput. Phys. 464, Article ID 111314, 25 p. (2022; Zbl 07540358) 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
Di Li,; Sun, Zhiyuan; Wang, Fengru; Yang, Jerry Zhijian The discontinuous Galerkin method by divergence-free patch reconstruction for Stokes eigenvalue problems. (English) Zbl 07538559 Numer. Math., Theory Methods Appl. 15, No. 2, 484-509 (2022). MSC: 49N45 65N21 PDF BibTeX XML Cite \textit{Di Li} et al., Numer. Math., Theory Methods Appl. 15, No. 2, 484--509 (2022; Zbl 07538559) Full Text: DOI OpenURL
Liang, Hui On discontinuous and continuous approximations to second-kind Volterra integral equations. (English) Zbl 07538544 Numer. Math., Theory Methods Appl. 15, No. 1, 91-124 (2022). MSC: 45D05 65R20 PDF BibTeX XML Cite \textit{H. Liang}, Numer. Math., Theory Methods Appl. 15, No. 1, 91--124 (2022; Zbl 07538544) 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
Botti, Lorenzo; Verzeroli, Luca BR2 discontinuous Galerkin methods for finite hyperelastic deformations. (English) Zbl 07536792 J. Comput. Phys. 463, Article ID 111303, 22 p. (2022). MSC: 74Sxx 65Nxx 74Bxx PDF BibTeX XML Cite \textit{L. Botti} and \textit{L. Verzeroli}, J. Comput. Phys. 463, Article ID 111303, 22 p. (2022; Zbl 07536792) 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
Jaiswal, Shashank An entropy stable scheme for the non-linear Boltzmann equation. (English) Zbl 07536779 J. Comput. Phys. 463, Article ID 111289, 30 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDF BibTeX XML Cite \textit{S. Jaiswal}, J. Comput. Phys. 463, Article ID 111289, 30 p. (2022; Zbl 07536779) 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
Cicchino, Alexander; Del Rey Fernández, David C.; Nadarajah, Siva; Chan, Jesse; Carpenter, Mark H. Provably stable flux reconstruction high-order methods on curvilinear elements. (English) Zbl 07536761 J. Comput. Phys. 463, Article ID 111259, 26 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDF BibTeX XML Cite \textit{A. Cicchino} et al., J. Comput. Phys. 463, Article ID 111259, 26 p. (2022; Zbl 07536761) 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
Endeve, Eirik; Hauck, Cory D. Conservative DG method for the micro-macro decomposition of the Vlasov-Poisson-Lenard-Bernstein model. (English) Zbl 07536732 J. Comput. Phys. 462, Article ID 111227, 32 p. (2022). MSC: 65Mxx 76Mxx 82Cxx PDF BibTeX XML Cite \textit{E. Endeve} and \textit{C. D. Hauck}, J. Comput. Phys. 462, Article ID 111227, 32 p. (2022; Zbl 07536732) Full Text: DOI OpenURL
Frerichs-Mihov, Derk; John, Volker On a technique for reducing spurious oscillations in DG solutions of convection-diffusion equations. (English) Zbl 07534449 Appl. Math. Lett. 129, Article ID 107969, 7 p. (2022). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{D. Frerichs-Mihov} and \textit{V. John}, Appl. Math. Lett. 129, Article ID 107969, 7 p. (2022; Zbl 07534449) Full Text: DOI OpenURL
Pan, Yu; Yan, Zhen-Guo; Peiró, Joaquim; Sherwin, Spencer J. Development of a balanced adaptive time-stepping strategy based on an implicit JFNK-DG compressible flow solver. (English) Zbl 07534237 Commun. Appl. Math. Comput. 4, No. 2, 728-757 (2022). MSC: 76N06 65M60 65L06 PDF BibTeX XML Cite \textit{Y. Pan} et al., Commun. Appl. Math. Comput. 4, No. 2, 728--757 (2022; Zbl 07534237) Full Text: DOI OpenURL
Pazner, Will; Kolev, Tzanio Uniform subspace correction preconditioners for discontinuous Galerkin methods with \(hp\)-refinement. (English) Zbl 07534236 Commun. Appl. Math. Comput. 4, No. 2, 697-727 (2022). MSC: 65N55 65N30 65N22 PDF BibTeX XML Cite \textit{W. Pazner} and \textit{T. Kolev}, Commun. Appl. Math. Comput. 4, No. 2, 697--727 (2022; Zbl 07534236) Full Text: DOI OpenURL
Dedner, Andreas; Klöfkorn, Robert Extendible and efficient Python framework for solving evolution equations with stabilized discontinuous Galerkin methods. (English) Zbl 07534235 Commun. Appl. Math. Comput. 4, No. 2, 657-696 (2022). MSC: 65M08 65M60 35Q31 35Q90 68N99 PDF BibTeX XML Cite \textit{A. Dedner} and \textit{R. Klöfkorn}, Commun. Appl. Math. Comput. 4, No. 2, 657--696 (2022; Zbl 07534235) Full Text: DOI OpenURL
Dedner, Andreas; Pryer, Tristan Discontinuous Galerkin methods for a class of nonvariational problems. (English) Zbl 07534234 Commun. Appl. Math. Comput. 4, No. 2, 634-656 (2022). MSC: 65N15 65N30 65Y20 65N12 PDF BibTeX XML Cite \textit{A. Dedner} and \textit{T. Pryer}, Commun. Appl. Math. Comput. 4, No. 2, 634--656 (2022; Zbl 07534234) 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
Hong, Xue; Xia, Yinhua Arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for KdV type equations. (English) Zbl 07534231 Commun. Appl. Math. Comput. 4, No. 2, 530-562 (2022). MSC: 65M60 65M12 PDF BibTeX XML Cite \textit{X. Hong} and \textit{Y. Xia}, Commun. Appl. Math. Comput. 4, No. 2, 530--562 (2022; Zbl 07534231) 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
Ryan, Jennifer K. Capitalizing on superconvergence for more accurate multi-resolution discontinuous Galerkin methods. (English) Zbl 07534227 Commun. Appl. Math. Comput. 4, No. 2, 417-436 (2022). MSC: 65M60 PDF BibTeX XML Cite \textit{J. K. Ryan}, Commun. Appl. Math. Comput. 4, No. 2, 417--436 (2022; Zbl 07534227) Full Text: DOI OpenURL
Sun, Jiawei; Xie, Shusen; Xing, Yulong Local discontinuous Galerkin methods for the \(abcd\) nonlinear Boussinesq system. (English) Zbl 07534226 Commun. Appl. Math. Comput. 4, No. 2, 381-416 (2022). MSC: 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{J. Sun} et al., Commun. Appl. Math. Comput. 4, No. 2, 381--416 (2022; Zbl 07534226) Full Text: DOI OpenURL
Liang, Hui Discontinuous Galerkin approximations to second-kind Volterra integral equations with weakly singular kernel. (English) Zbl 07533846 Appl. Numer. Math. 179, 170-182 (2022). MSC: 65R20 45D05 PDF BibTeX XML Cite \textit{H. Liang}, Appl. Numer. Math. 179, 170--182 (2022; Zbl 07533846) Full Text: DOI OpenURL
Gulizzi, Vincenzo; Saye, Robert Modeling wave propagation in elastic solids via high-order accurate implicit-mesh discontinuous Galerkin methods. (English) Zbl 07532565 Comput. Methods Appl. Mech. Eng. 395, Article ID 114971, 32 p. (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{V. Gulizzi} and \textit{R. Saye}, Comput. Methods Appl. Mech. Eng. 395, Article ID 114971, 32 p. (2022; Zbl 07532565) 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
He, Xiaofeng; Wang, Kun; Feng, Yiwei; Liu, Tiegang; Wang, Xiaojun A DDG method with a residual-based artificial viscosity for the transonic/supersonic compressible flow. (English) Zbl 07529223 Commun. Comput. Phys. 31, No. 4, 1134-1161 (2022). MSC: 76H05 76J20 65M60 65M12 PDF BibTeX XML Cite \textit{X. He} et al., Commun. Comput. Phys. 31, No. 4, 1134--1161 (2022; Zbl 07529223) 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
Higdon, Robert L. An automatically well-balanced formulation of pressure forcing for discontinuous Galerkin methods for the shallow water equations. (English) Zbl 07527727 J. Comput. Phys. 458, Article ID 111102, 25 p. (2022). MSC: 86Axx 65Mxx 76Mxx PDF BibTeX XML Cite \textit{R. L. Higdon}, J. Comput. Phys. 458, Article ID 111102, 25 p. (2022; Zbl 07527727) Full Text: DOI OpenURL
Cicchino, Alexander; Nadarajah, Siva; Del Rey Fernández, David C. Nonlinearly stable flux reconstruction high-order methods in split form. (English) Zbl 07527721 J. Comput. Phys. 458, Article ID 111094, 13 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDF BibTeX XML Cite \textit{A. Cicchino} et al., J. Comput. Phys. 458, Article ID 111094, 13 p. (2022; Zbl 07527721) 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
Pan, Y.; Persson, P.-O. Agglomeration-based geometric multigrid solvers for compact discontinuous Galerkin discretizations on unstructured meshes. (English) Zbl 07524773 J. Comput. Phys. 449, Article ID 110775, 12 p. (2022). MSC: 65Nxx 65Fxx 35Jxx PDF BibTeX XML Cite \textit{Y. Pan} and \textit{P. O. Persson}, J. Comput. Phys. 449, Article ID 110775, 12 p. (2022; Zbl 07524773) Full Text: DOI OpenURL
Liu, Chen; Ray, Deep; Thiele, Christopher; Lin, Lu; Riviere, Beatrice A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. (English) Zbl 07524769 J. Comput. Phys. 449, Article ID 110769, 20 p. (2022). MSC: 76Mxx 76Dxx 65Mxx PDF BibTeX XML Cite \textit{C. Liu} et al., J. Comput. Phys. 449, Article ID 110769, 20 p. (2022; Zbl 07524769) 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
Chrysafinos, Konstantinos; Kostas, Dimitrios Numerical analysis of high order time stepping schemes for a predator-prey system. (English) Zbl 1485.65103 Int. J. Numer. Anal. Model. 19, No. 2-3, 404-423 (2022). MSC: 65M60 35K67 65M12 92D25 PDF BibTeX XML Cite \textit{K. Chrysafinos} and \textit{D. Kostas}, Int. J. Numer. Anal. Model. 19, No. 2--3, 404--423 (2022; Zbl 1485.65103) Full Text: Link OpenURL
Liu, Dongjie; Zhou, Le; Zhang, Xiaoping On an adaptive LDG for the \(p\)-Laplace problem. (English) Zbl 1485.65120 Int. J. Numer. Anal. Model. 19, No. 2-3, 315-328 (2022). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{D. Liu} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 315--328 (2022; Zbl 1485.65120) Full Text: Link 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
Singh, S.; Karchani, A.; Chourushi, T.; Myong, R. S. A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-curtiss-based constitutive model of rarefied and microscale gas flows. (English) Zbl 07523813 J. Comput. Phys. 457, Article ID 111052, 36 p. (2022). MSC: 76Mxx 65Mxx 76Pxx PDF BibTeX XML Cite \textit{S. Singh} et al., J. Comput. Phys. 457, Article ID 111052, 36 p. (2022; Zbl 07523813) Full Text: DOI OpenURL
Pereira, Carlos A.; Vermeire, Brian C. Performance and accuracy of hybridized flux reconstruction schemes. (English) Zbl 07523804 J. Comput. Phys. 457, Article ID 111039, 23 p. (2022). MSC: 65Mxx 65Nxx 76Mxx PDF BibTeX XML Cite \textit{C. A. Pereira} and \textit{B. C. Vermeire}, J. Comput. Phys. 457, Article ID 111039, 23 p. (2022; Zbl 07523804) Full Text: DOI OpenURL
Schneider, Florian; Leibner, Tobias First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: realizability-preserving splitting scheme and numerical analysis. (English) Zbl 07518114 J. Comput. Phys. 456, Article ID 111040, 30 p. (2022). MSC: 65Mxx 82Cxx 65Nxx PDF BibTeX XML Cite \textit{F. Schneider} and \textit{T. Leibner}, J. Comput. Phys. 456, Article ID 111040, 30 p. (2022; Zbl 07518114) Full Text: DOI OpenURL
Lodares, Diego; Manzanero, Juan; Ferrer, Esteban; Valero, Eusebio An entropy-stable discontinuous Galerkin approximation of the Spalart-Allmaras turbulence model for the compressible Reynolds averaged Navier-Stokes equations. (English) Zbl 07518083 J. Comput. Phys. 455, Article ID 110998, 27 p. (2022). MSC: 65Mxx 76Mxx 76Fxx PDF BibTeX XML Cite \textit{D. Lodares} et al., J. Comput. Phys. 455, Article ID 110998, 27 p. (2022; Zbl 07518083) Full Text: DOI OpenURL
Wolf, Sebastian; Galis, Martin; Uphoff, Carsten; Gabriel, Alice-Agnes; Moczo, Peter; Gregor, David; Bader, Michael An efficient ADER-DG local time stepping scheme for 3D HPC simulation of seismic waves in poroelastic media. (English) Zbl 07518069 J. Comput. Phys. 455, Article ID 110886, 29 p. (2022). MSC: 65Mxx 74Jxx 35Lxx PDF BibTeX XML Cite \textit{S. Wolf} et al., J. Comput. Phys. 455, Article ID 110886, 29 p. (2022; Zbl 07518069) Full Text: DOI OpenURL
Huang, Tianci; Zahr, Matthew J. A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows. (English) Zbl 07518060 J. Comput. Phys. 454, Article ID 110981, 36 p. (2022). MSC: 76Mxx 90Cxx 65Nxx PDF BibTeX XML Cite \textit{T. Huang} and \textit{M. J. Zahr}, J. Comput. Phys. 454, Article ID 110981, 36 p. (2022; Zbl 07518060) 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
Haidar, Ali; Marche, Fabien; Vilar, Francois A posteriori finite-volume local subcell correction of high-order discontinuous Galerkin schemes for the nonlinear shallow-water equations. (English) Zbl 07517733 J. Comput. Phys. 452, Article ID 110902, 34 p. (2022). MSC: 65Mxx 76Mxx 76Bxx PDF BibTeX XML Cite \textit{A. Haidar} et al., J. Comput. Phys. 452, Article ID 110902, 34 p. (2022; Zbl 07517733) 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
Liu, Hailiang; Wang, Zhongming; Yin, Peimeng; Yu, Hui Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations. (English) Zbl 07517725 J. Comput. Phys. 452, Article ID 110777, 22 p. (2022). MSC: 65Mxx 35Qxx 65Nxx PDF BibTeX XML Cite \textit{H. Liu} et al., J. Comput. Phys. 452, Article ID 110777, 22 p. (2022; Zbl 07517725) Full Text: DOI OpenURL
Abgrall, Rémi; Öffner, Philipp; Ranocha, Hendrik Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization. (English) Zbl 07517718 J. Comput. Phys. 453, Article ID 110955, 24 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDF BibTeX XML Cite \textit{R. Abgrall} et al., J. Comput. Phys. 453, Article ID 110955, 24 p. (2022; Zbl 07517718) Full Text: DOI OpenURL
Abdulle, Assyr; de Souza, Giacomo Rosilho A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. (English) Zbl 07517175 J. Comput. Phys. 451, Article ID 110894, 20 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDF BibTeX XML Cite \textit{A. Abdulle} and \textit{G. R. de Souza}, J. Comput. Phys. 451, Article ID 110894, 20 p. (2022; Zbl 07517175) Full Text: DOI OpenURL
Moufid, Ilyes; Matignon, Denis; Roncen, Rémi; Piot, Estelle Energy analysis and discretization of the time-domain equivalent fluid model for wave propagation in rigid porous media. (English) Zbl 07517171 J. Comput. Phys. 451, Article ID 110888, 31 p. (2022). MSC: 65Mxx 76Sxx 35Lxx PDF BibTeX XML Cite \textit{I. Moufid} et al., J. Comput. Phys. 451, Article ID 110888, 31 p. (2022; Zbl 07517171) Full Text: DOI OpenURL
Laskowski, Wojciech; Rubio, Gonzalo; Valero, Eusebio; Ferrer, Esteban A functional oriented truncation error adaptation method. (English) Zbl 07517169 J. Comput. Phys. 451, Article ID 110883, 7 p. (2022). MSC: 65Mxx 65Fxx 65Nxx PDF BibTeX XML Cite \textit{W. Laskowski} et al., J. Comput. Phys. 451, Article ID 110883, 7 p. (2022; Zbl 07517169) 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
Gulizzi, Vincenzo; Almgren, Ann S.; Bell, John B. A coupled discontinuous Galerkin-finite volume framework for solving gas dynamics over embedded geometries. (English) Zbl 07517120 J. Comput. Phys. 450, Article ID 110861, 26 p. (2022). MSC: 76Mxx 65Mxx 65Nxx PDF BibTeX XML Cite \textit{V. Gulizzi} et al., J. Comput. Phys. 450, Article ID 110861, 26 p. (2022; Zbl 07517120) Full Text: DOI OpenURL
Jaiswal, Shashank Non-linear Boltzmann equation on hybrid-unstructured non-conforming multi-domains. (English) Zbl 07517098 J. Comput. Phys. 450, Article ID 110687, 61 p. (2022). MSC: 65Mxx 76Mxx 65Nxx PDF BibTeX XML Cite \textit{S. Jaiswal}, J. Comput. Phys. 450, Article ID 110687, 61 p. (2022; Zbl 07517098) Full Text: DOI OpenURL
Chan, Jesse; Lin, Yimin; Warburton, Tim Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations. (English) Zbl 07516807 J. Comput. Phys. 448, Article ID 110723, 24 p. (2022). MSC: 65Mxx 76Mxx 76Nxx PDF BibTeX XML Cite \textit{J. Chan} et al., J. Comput. Phys. 448, Article ID 110723, 24 p. (2022; Zbl 07516807) Full Text: DOI OpenURL
Bonito, Andrea; Guignard, Diane; Nochetto, Ricardo H.; Yang, Shuo LDG approximation of large deformations of prestrained plates. (English) Zbl 07516803 J. Comput. Phys. 448, Article ID 110719, 27 p. (2022). MSC: 74Kxx 65Nxx 74Bxx PDF BibTeX XML Cite \textit{A. Bonito} et al., J. Comput. Phys. 448, Article ID 110719, 27 p. (2022; Zbl 07516803) 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
Chan, Jesse; Taylor, Christina G. Efficient computation of Jacobian matrices for entropy stable summation-by-parts schemes. (English) Zbl 07516792 J. Comput. Phys. 448, Article ID 110701, 16 p. (2022). MSC: 65Mxx 76Mxx 76Nxx PDF BibTeX XML Cite \textit{J. Chan} and \textit{C. G. Taylor}, J. Comput. Phys. 448, Article ID 110701, 16 p. (2022; Zbl 07516792) Full Text: DOI OpenURL
Xiao, Yilong; Kubatko, Ethan J.; Conroy, Colton J. A one-dimensional local discontinuous Galerkin Richards’ equation solution with dual-time stepping. (English) Zbl 1484.65190 Comput. Geosci. 26, No. 1, 171-194 (2022). MSC: 65M06 76S05 86-08 86A05 PDF BibTeX XML Cite \textit{Y. Xiao} et al., Comput. Geosci. 26, No. 1, 171--194 (2022; Zbl 1484.65190) Full Text: DOI OpenURL