Vilar, François; Abgrall, Rémi A posteriori local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids. (English) Zbl 07820564 SIAM J. Sci. Comput. 46, No. 2, A851-A883 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65N30 65M06 65L06 65N08 65N12 35L67 35D30 76N15 PDFBibTeX XMLCite \textit{F. Vilar} and \textit{R. Abgrall}, SIAM J. Sci. Comput. 46, No. 2, A851--A883 (2024; Zbl 07820564) Full Text: DOI arXiv
Zhou, Chong-Bo; Wang, Qian; Ren, Yu-Xin Machine learning optimization of compact finite volume methods on unstructured grids. (English) Zbl 07811332 J. Comput. Phys. 500, Article ID 112746, 30 p. (2024). MSC: 65Mxx 76Mxx 76Nxx PDFBibTeX XMLCite \textit{C.-B. Zhou} et al., J. Comput. Phys. 500, Article ID 112746, 30 p. (2024; Zbl 07811332) Full Text: DOI
Rueda-Ramírez, Andrés M.; Gassner, Gregor J. A flux-differencing formula for split-form summation by parts discretizations of non-conservative systems. Applications to subcell limiting for magneto-hydrodynamics. (English) Zbl 07808005 J. Comput. Phys. 496, Article ID 112607, 19 p. (2024). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{A. M. Rueda-Ramírez} and \textit{G. J. Gassner}, J. Comput. Phys. 496, Article ID 112607, 19 p. (2024; Zbl 07808005) Full Text: DOI arXiv
Ersing, Patrick; Winters, Andrew R. An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes. (English) Zbl 07807895 J. Sci. Comput. 98, No. 3, Paper No. 62, 35 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M70 65M60 65M06 65L06 65N35 65N30 65D32 65M12 76B15 76T06 86A05 76M22 35L50 35Q30 PDFBibTeX XMLCite \textit{P. Ersing} and \textit{A. R. Winters}, J. Sci. Comput. 98, No. 3, Paper No. 62, 35 p. (2024; Zbl 07807895) Full Text: DOI arXiv OA License
Jackaman, James; MacLachlan, Scott Constraint-satisfying Krylov solvers for structure-preserving discretizations. (English) Zbl 07805907 SIAM J. Matrix Anal. Appl. 45, No. 1, 327-352 (2024). MSC: 65F10 65M22 PDFBibTeX XMLCite \textit{J. Jackaman} and \textit{S. MacLachlan}, SIAM J. Matrix Anal. Appl. 45, No. 1, 327--352 (2024; Zbl 07805907) Full Text: DOI arXiv
Lundquist, Tomas; Winters, Andrew R.; Nordström, Jan Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes. (English) Zbl 07797669 J. Comput. Phys. 498, Article ID 112699, 16 p. (2024). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{T. Lundquist} et al., J. Comput. Phys. 498, Article ID 112699, 16 p. (2024; Zbl 07797669) Full Text: DOI arXiv
Nordström, Jan Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics. (English) Zbl 07797664 J. Comput. Phys. 498, Article ID 112685, 19 p. (2024). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{J. Nordström}, J. Comput. Phys. 498, Article ID 112685, 19 p. (2024; Zbl 07797664) Full Text: DOI arXiv
Lin, Yimin; Chan, Jesse High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting. (English) Zbl 07797656 J. Comput. Phys. 498, Article ID 112677, 19 p. (2024). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{Y. Lin} and \textit{J. Chan}, J. Comput. Phys. 498, Article ID 112677, 19 p. (2024; Zbl 07797656) Full Text: DOI arXiv
Mantri, Yogiraj; Öffner, Philipp; Ricchiuto, Mario Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction. (English) Zbl 07797652 J. Comput. Phys. 498, Article ID 112673, 35 p. (2024). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{Y. Mantri} et al., J. Comput. Phys. 498, Article ID 112673, 35 p. (2024; Zbl 07797652) Full Text: DOI arXiv
Xu, Linfeng; Ding, Shengrong; Wu, Kailiang High-order accurate entropy stable schemes for relativistic hydrodynamics with general Synge-type equation of state. (English) Zbl 07794698 J. Sci. Comput. 98, No. 2, Paper No. 43, 62 p. (2024). MSC: 65L10 PDFBibTeX XMLCite \textit{L. Xu} et al., J. Sci. Comput. 98, No. 2, Paper No. 43, 62 p. (2024; Zbl 07794698) Full Text: DOI
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
Zhang, Fengrui; Peet, Yulia T. Discontinuous Galerkin spectral element method for shock capturing with summation by parts properties. (English) Zbl 07785566 J. Comput. Phys.: X 17, Article ID 100123, 26 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{F. Zhang} and \textit{Y. T. Peet}, J. Comput. Phys.: X 17, Article ID 100123, 26 p. (2023; Zbl 07785566) Full Text: DOI
Tretyak, Ilya D.; Goyman, Gordey S.; Shashkin, Vladimir V. Multiresolution approximation for shallow water equations using summation-by-parts finite differences. (English) Zbl 07776554 Russ. J. Numer. Anal. Math. Model. 38, No. 6, 393-407 (2023). MSC: 65D25 76D05 76M22 PDFBibTeX XMLCite \textit{I. D. Tretyak} et al., Russ. J. Numer. Anal. Math. Model. 38, No. 6, 393--407 (2023; Zbl 07776554) Full Text: DOI
Glaubitz, Jan; Klein, Simon-Christian; Nordström, Jan; Öffner, Philipp Multi-dimensional summation-by-parts operators for general function spaces: theory and construction. (English) Zbl 07771286 J. Comput. Phys. 491, Article ID 112370, 23 p. (2023). MSC: 65Mxx 65Dxx 35Lxx PDFBibTeX XMLCite \textit{J. Glaubitz} et al., J. Comput. Phys. 491, Article ID 112370, 23 p. (2023; Zbl 07771286) Full Text: DOI arXiv
Ranocha, Hendrik A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators. (English) Zbl 07771283 J. Comput. Phys. 491, Article ID 112367, 6 p. (2023). MSC: 65Mxx 65Nxx 35Lxx PDFBibTeX XMLCite \textit{H. Ranocha}, J. Comput. Phys. 491, Article ID 112367, 6 p. (2023; Zbl 07771283) Full Text: DOI arXiv
Lundquist, Tomas; Malan, Arnaud G.; Nordström, Jan A method-of-lines framework for energy stable arbitrary Lagrangian-Eulerian methods. (English) Zbl 07754854 SIAM J. Numer. Anal. 61, No. 5, 2327-2351 (2023). MSC: 65M20 65L06 65M12 65N50 35R37 PDFBibTeX XMLCite \textit{T. Lundquist} et al., SIAM J. Numer. Anal. 61, No. 5, 2327--2351 (2023; Zbl 07754854) Full Text: DOI arXiv
Peyvan, Ahmad; Shukla, Khemraj; Chan, Jesse; Karniadakis, George High-order methods for hypersonic flows with strong shocks and real chemistry. (English) Zbl 07715240 J. Comput. Phys. 490, Article ID 112310, 25 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{A. Peyvan} et al., J. Comput. Phys. 490, Article ID 112310, 25 p. (2023; Zbl 07715240) Full Text: DOI arXiv
Carlier, Valentin; Renac, Florent Invariant domain preserving high-order spectral discontinuous approximations of hyperbolic systems. (English) Zbl 07704387 SIAM J. Sci. Comput. 45, No. 3, A1385-A1412 (2023). MSC: 65M70 65M60 65M06 65N35 65N30 65M12 65M15 35L65 PDFBibTeX XMLCite \textit{V. Carlier} and \textit{F. Renac}, SIAM J. Sci. Comput. 45, No. 3, A1385--A1412 (2023; Zbl 07704387) Full Text: DOI arXiv
Klein, Simon-Christian Stabilizing discontinuous Galerkin methods using Dafermos’ entropy rate criterion. I: One-dimensional conservation laws. (English) Zbl 07698861 J. Sci. Comput. 95, No. 2, Paper No. 55, 37 p. (2023). MSC: 65-XX 35L03 35L45 35L65 35L67 65M08 65M12 65M20 76L05 PDFBibTeX XMLCite \textit{S.-C. Klein}, J. Sci. Comput. 95, No. 2, Paper No. 55, 37 p. (2023; Zbl 07698861) Full Text: DOI arXiv
Glaubitz, Jan; Nordström, Jan; Öffner, Philipp Summation-by-parts operators for general function spaces. (English) Zbl 07679126 SIAM J. Numer. Anal. 61, No. 2, 733-754 (2023). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M70 65M06 65L06 65N30 65N35 65K10 65D25 65D12 65T40 65M12 PDFBibTeX XMLCite \textit{J. Glaubitz} et al., SIAM J. Numer. Anal. 61, No. 2, 733--754 (2023; Zbl 07679126) Full Text: DOI arXiv
Rothkopf, Alexander; Nordström, Jan A new variational discretization technique for initial value problems bypassing governing equations. (English) Zbl 07652824 J. Comput. Phys. 477, Article ID 111942, 19 p. (2023). MSC: 65Mxx 35Lxx 65Nxx PDFBibTeX XMLCite \textit{A. Rothkopf} and \textit{J. Nordström}, J. Comput. Phys. 477, Article ID 111942, 19 p. (2023; Zbl 07652824) Full Text: DOI arXiv
Rueda-Ramírez, Andrés M.; Hindenlang, Florian J.; Chan, Jesse; Gassner, Gregor J. Entropy-stable Gauss collocation methods for ideal magneto-hydrodynamics. (English) Zbl 07649272 J. Comput. Phys. 475, Article ID 111851, 33 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{A. M. Rueda-Ramírez} et al., J. Comput. Phys. 475, Article ID 111851, 33 p. (2023; Zbl 07649272) Full Text: DOI arXiv
Lin, Yimin; Chan, Jesse; Tomas, Ignacio A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations. (English) Zbl 07649271 J. Comput. Phys. 475, Article ID 111850, 31 p. (2023). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{Y. Lin} et al., J. Comput. Phys. 475, Article ID 111850, 31 p. (2023; Zbl 07649271) Full Text: DOI arXiv
Abgrall, Rémi; Rai, Pratik; Renac, Florent A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model. (English) Zbl 07620373 J. Comput. Phys. 472, Article ID 111693, 31 p. (2023). MSC: 65Mxx 76Mxx 76Nxx PDFBibTeX XMLCite \textit{R. Abgrall} et al., J. Comput. Phys. 472, Article ID 111693, 31 p. (2023; Zbl 07620373) Full Text: DOI arXiv
Mateo-Gabín, Andrés; Manzanero, Juan; Valero, Eusebio An entropy stable spectral vanishing viscosity for discontinuous Galerkin schemes: application to shock capturing and LES models. (English) Zbl 07605589 J. Comput. Phys. 471, Article ID 111618, 27 p. (2022). MSC: 76Mxx 65Mxx 76Nxx PDFBibTeX XMLCite \textit{A. Mateo-Gabín} et al., J. Comput. Phys. 471, Article ID 111618, 27 p. (2022; Zbl 07605589) Full Text: DOI arXiv
Waruszewski, Maciej; Kozdon, Jeremy E.; Wilcox, Lucas C.; Gibson, Thomas H.; Giraldo, Francis X. Entropy stable discontinuous Galerkin methods for balance laws in non-conservative form: applications to the Euler equations with gravity. (English) Zbl 07578914 J. Comput. Phys. 468, Article ID 111507, 25 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{M. Waruszewski} et al., J. Comput. Phys. 468, Article ID 111507, 25 p. (2022; Zbl 07578914) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Jaiswal}, J. Comput. Phys. 463, Article ID 111289, 30 p. (2022; Zbl 07536779) Full Text: DOI
Lundquist, Tomas; Laurén, Fredrik; Nordström, Jan A multi-domain summation-by-parts formulation for complex geometries. (English) Zbl 07536769 J. Comput. Phys. 463, Article ID 111269, 9 p. (2022). MSC: 65Mxx 76Mxx 35Qxx PDFBibTeX XMLCite \textit{T. Lundquist} et al., J. Comput. Phys. 463, Article ID 111269, 9 p. (2022; Zbl 07536769) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Cicchino} et al., J. Comput. Phys. 458, Article ID 111094, 13 p. (2022; Zbl 07527721) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{G. Ntoukas} et al., J. Comput. Phys. 458, Article ID 111093, 33 p. (2022; Zbl 07527720) Full Text: DOI
Duan, Junming; Tang, Huazhong High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics. (English) Zbl 07518113 J. Comput. Phys. 456, Article ID 111038, 39 p. (2022). MSC: 65Mxx 76Mxx 76Yxx PDFBibTeX XMLCite \textit{J. Duan} and \textit{H. Tang}, J. Comput. Phys. 456, Article ID 111038, 39 p. (2022; Zbl 07518113) Full Text: DOI arXiv
Nordström, Jan Nonlinear and linearised primal and dual initial boundary value problems: when are they bounded? How are they connected? (English) Zbl 07518085 J. Comput. Phys. 455, Article ID 111001, 13 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{J. Nordström}, J. Comput. Phys. 455, Article ID 111001, 13 p. (2022; Zbl 07518085) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Lodares} et al., J. Comput. Phys. 455, Article ID 110998, 27 p. (2022; Zbl 07518083) Full Text: DOI
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 PDFBibTeX XMLCite \textit{R. Abgrall} et al., J. Comput. Phys. 453, Article ID 110955, 24 p. (2022; Zbl 07517718) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Chan} and \textit{C. G. Taylor}, J. Comput. Phys. 448, Article ID 110701, 16 p. (2022; Zbl 07516792) Full Text: DOI arXiv
Gassner, Gregor J.; Svärd, Magnus; Hindenlang, Florian J. Stability issues of entropy-stable and/or split-form high-order schemes. Analysis of linear stability. (English) Zbl 07477386 J. Sci. Comput. 90, No. 3, Paper No. 79, 36 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{G. J. Gassner} et al., J. Sci. Comput. 90, No. 3, Paper No. 79, 36 p. (2022; Zbl 07477386) Full Text: DOI arXiv
Worku, Zelalem Arega; Zingg, David W. Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators. (English) Zbl 07515875 J. Comput. Phys. 445, Article ID 110634, 43 p. (2021). MSC: 65Mxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{Z. A. Worku} and \textit{D. W. Zingg}, J. Comput. Phys. 445, Article ID 110634, 43 p. (2021; Zbl 07515875) Full Text: DOI arXiv
Renac, Florent Entropy stable, robust and high-order DGSEM for the compressible multicomponent Euler equations. (English) Zbl 07515844 J. Comput. Phys. 445, Article ID 110584, 28 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{F. Renac}, J. Comput. Phys. 445, Article ID 110584, 28 p. (2021; Zbl 07515844) Full Text: DOI arXiv
Rueda-Ramírez, Andrés M.; Hennemann, Sebastian; Hindenlang, Florian J.; Winters, Andrew R.; Gassner, Gregor J. An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. II: Subcell finite volume shock capturing. (English) Zbl 07515469 J. Comput. Phys. 444, Article ID 110580, 48 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{A. M. Rueda-Ramírez} et al., J. Comput. Phys. 444, Article ID 110580, 48 p. (2021; Zbl 07515469) Full Text: DOI arXiv
Schlottke-Lakemper, Michael; Winters, Andrew R.; Ranocha, Hendrik; Gassner, Gregor J. A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. (English) Zbl 07513798 J. Comput. Phys. 442, Article ID 110467, 20 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{M. Schlottke-Lakemper} et al., J. Comput. Phys. 442, Article ID 110467, 20 p. (2021; Zbl 07513798) Full Text: DOI arXiv Link
Ntoukas, Gerasimos; Manzanero, Juan; Rubio, Gonzalo; Valero, Eusebio; Ferrer, Esteban A free-energy stable p-adaptive nodal discontinuous Galerkin for the Cahn-Hilliard equation. (English) Zbl 07513792 J. Comput. Phys. 442, Article ID 110409, 31 p. (2021). MSC: 65Mxx 76Mxx 76Txx PDFBibTeX XMLCite \textit{G. Ntoukas} et al., J. Comput. Phys. 442, Article ID 110409, 31 p. (2021; Zbl 07513792) Full Text: DOI
Biswas, Biswarup; Kumar, Harish; Yadav, Anshu Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations. (English) Zbl 07511459 J. Comput. Phys. 431, Article ID 110148, 23 p. (2021). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{B. Biswas} et al., J. Comput. Phys. 431, Article ID 110148, 23 p. (2021; Zbl 07511459) Full Text: DOI arXiv
Coquel, Frédéric; Marmignon, Claude; Rai, Pratik; Renac, Florent An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model. (English) Zbl 07511452 J. Comput. Phys. 431, Article ID 110135, 29 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{F. Coquel} et al., J. Comput. Phys. 431, Article ID 110135, 29 p. (2021; Zbl 07511452) Full Text: DOI arXiv
Rueda-Ramírez, Andrés M.; Ferrer, Esteban; Kopriva, David A.; Rubio, Gonzalo; Valero, Eusebio A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations. (English) Zbl 07510067 J. Comput. Phys. 426, Article ID 109953, 28 p. (2021). MSC: 65-XX 15-XX PDFBibTeX XMLCite \textit{A. M. Rueda-Ramírez} et al., J. Comput. Phys. 426, Article ID 109953, 28 p. (2021; Zbl 07510067) Full Text: DOI arXiv
Duan, Junming; Tang, Huazhong Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics. (English) Zbl 07510063 J. Comput. Phys. 426, Article ID 109949, 24 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. Duan} and \textit{H. Tang}, J. Comput. Phys. 426, Article ID 109949, 24 p. (2021; Zbl 07510063) Full Text: DOI arXiv
Hennemann, Sebastian; Rueda-Ramírez, Andrés M.; Hindenlang, Florian J.; Gassner, Gregor J. A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations. (English) Zbl 07510051 J. Comput. Phys. 426, Article ID 109935, 31 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{S. Hennemann} et al., J. Comput. Phys. 426, Article ID 109935, 31 p. (2021; Zbl 07510051) Full Text: DOI arXiv
Rojas, Diego; Boukharfane, Radouan; Dalcin, Lisandro; Del Rey Fernández, David C.; Ranocha, Hendrik; Keyes, David E.; Parsani, Matteo On the robustness and performance of entropy stable collocated discontinuous Galerkin methods. (English) Zbl 07510039 J. Comput. Phys. 426, Article ID 109891, 17 p. (2021). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{D. Rojas} et al., J. Comput. Phys. 426, Article ID 109891, 17 p. (2021; Zbl 07510039) Full Text: DOI arXiv
Ålund, Oskar; Akamatsu, Yukinao; Laurén, Fredrik; Miura, Takahiro; Nordström, Jan; Rothkopf, Alexander Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator. (English) Zbl 07508509 J. Comput. Phys. 425, Article ID 109917, 18 p. (2021). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{O. Ålund} et al., J. Comput. Phys. 425, Article ID 109917, 18 p. (2021; Zbl 07508509) Full Text: DOI arXiv
Nordström, Jan; Ålund, Oskar Neural network enhanced computations on coarse grids. (English) Zbl 07508480 J. Comput. Phys. 425, Article ID 109821, 6 p. (2021). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{J. Nordström} and \textit{O. Ålund}, J. Comput. Phys. 425, Article ID 109821, 6 p. (2021; Zbl 07508480) Full Text: DOI
Ålund, Oskar; Iaccarino, Gianluca; Nordström, Jan Learning to differentiate. (English) Zbl 07508475 J. Comput. Phys. 424, Article ID 109873, 13 p. (2021). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{O. Ålund} et al., J. Comput. Phys. 424, Article ID 109873, 13 p. (2021; Zbl 07508475) Full Text: DOI
Parsani, Matteo; Boukharfane, Radouan; Nolasco, Irving Reyna; Del Rey Fernández, David C.; Zampini, Stefano; Hadri, Bilel; Dalcin, Lisandro High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: scalable SSDC algorithms and flow solver. (English) Zbl 07508449 J. Comput. Phys. 424, Article ID 109844, 25 p. (2021). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{M. Parsani} et al., J. Comput. Phys. 424, Article ID 109844, 25 p. (2021; Zbl 07508449) Full Text: DOI
Almquist, Martin; Dunham, Eric M. Elastic wave propagation in anisotropic solids using energy-stable finite differences with weakly enforced boundary and interface conditions. (English) Zbl 07508447 J. Comput. Phys. 424, Article ID 109842, 33 p. (2021). MSC: 35-XX 74-XX PDFBibTeX XMLCite \textit{M. Almquist} and \textit{E. M. Dunham}, J. Comput. Phys. 424, Article ID 109842, 33 p. (2021; Zbl 07508447) Full Text: DOI arXiv
Fehn, Niklas; Heinz, Johannes; Wall, Wolfgang A.; Kronbichler, Martin High-order arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the incompressible Navier-Stokes equations. (English) Zbl 07506519 J. Comput. Phys. 430, Article ID 110040, 32 p. (2021). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{N. Fehn} et al., J. Comput. Phys. 430, Article ID 110040, 32 p. (2021; Zbl 07506519) Full Text: DOI arXiv
Laurén, Fredrik; Nordström, Jan Spectral properties of the incompressible Navier-Stokes equations. (English) Zbl 07500751 J. Comput. Phys. 429, Article ID 110019, 21 p. (2021). MSC: 65Mxx 76Dxx 76Mxx PDFBibTeX XMLCite \textit{F. Laurén} and \textit{J. Nordström}, J. Comput. Phys. 429, Article ID 110019, 21 p. (2021; Zbl 07500751) Full Text: DOI
Moxey, David; Cantwell, Chris D.; Bao, Yan; Cassinelli, Andrea; Castiglioni, Giacomo; Chun, Sehun; Juda, Emilia; Kazemi, Ehsan; Lackhove, Kilian; Marcon, Julian; Mengaldo, Gianmarco; Serson, Douglas; Turner, Michael; Xu, Hui; Peiró, Joaquim; Kirby, Robert M.; Sherwin, Spencer J. Nektar++: enhancing the capability and application of high-fidelity spectral/\(hp\) element methods. (English) Zbl 07678500 Comput. Phys. Commun. 249, Article ID 107110, 18 p. (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{D. Moxey} et al., Comput. Phys. Commun. 249, Article ID 107110, 18 p. (2020; Zbl 07678500) Full Text: DOI arXiv
Lundgren, Lukas; Mattsson, Ken An efficient finite difference method for the shallow water equations. (English) Zbl 07508393 J. Comput. Phys. 422, Article ID 109784, 28 p. (2020). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{L. Lundgren} and \textit{K. Mattsson}, J. Comput. Phys. 422, Article ID 109784, 28 p. (2020; Zbl 07508393) Full Text: DOI
Bohm, Marvin; Winters, Andrew R.; Gassner, Gregor J.; Derigs, Dominik; Hindenlang, Florian; Saur, Joachim An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. I: Theory and numerical verification. (English) Zbl 07508372 J. Comput. Phys. 422, Article ID 108076, 35 p. (2020). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{M. Bohm} et al., J. Comput. Phys. 422, Article ID 108076, 35 p. (2020; Zbl 07508372) Full Text: DOI arXiv
Krais, Nico; Schnücke, Gero; Bolemann, Thomas; Gassner, Gregor J. Split form ALE discontinuous Galerkin methods with applications to under-resolved turbulent low-Mach number flows. (English) Zbl 07508354 J. Comput. Phys. 421, Article ID 109726, 35 p. (2020). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{N. Krais} et al., J. Comput. Phys. 421, Article ID 109726, 35 p. (2020; Zbl 07508354) Full Text: DOI arXiv
Linders, Viktor; Nordström, Jan; Frankel, Steven H. Properties of Runge-Kutta-summation-by-parts methods. (English) Zbl 07507243 J. Comput. Phys. 419, Article ID 109684, 16 p. (2020). MSC: 41-XX 65-XX PDFBibTeX XMLCite \textit{V. Linders} et al., J. Comput. Phys. 419, Article ID 109684, 16 p. (2020; Zbl 07507243) Full Text: DOI
Manzanero, Juan; Rubio, Gonzalo; Kopriva, David A.; Ferrer, Esteban; Valero, Eusebio Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system. (English) Zbl 07505633 J. Comput. Phys. 408, Article ID 109363, 38 p. (2020). MSC: 76-XX 82-XX PDFBibTeX XMLCite \textit{J. Manzanero} et al., J. Comput. Phys. 408, Article ID 109363, 38 p. (2020; Zbl 07505633) Full Text: DOI arXiv
Flad, David; Beck, Andrea; Guthke, Philipp A large eddy simulation method for DGSEM using non-linearly optimized relaxation filters. (English) Zbl 07505626 J. Comput. Phys. 408, Article ID 109303, 12 p. (2020). MSC: 76-XX 94-XX PDFBibTeX XMLCite \textit{D. Flad} et al., J. Comput. Phys. 408, Article ID 109303, 12 p. (2020; Zbl 07505626) Full Text: DOI arXiv
Shadpey, Siavosh; Zingg, David W. Entropy-stable multidimensional summation-by-parts discretizations on hp-adaptive curvilinear grids for hyperbolic conservation laws. (English) Zbl 07197755 J. Sci. Comput. 82, No. 3, Paper No. 70, 46 p. (2020). MSC: 65Dxx 35Jxx 65Nxx PDFBibTeX XMLCite \textit{S. Shadpey} and \textit{D. W. Zingg}, J. Sci. Comput. 82, No. 3, Paper No. 70, 46 p. (2020; Zbl 07197755) Full Text: DOI
Birken, Philipp; Gassner, Gregor J.; Versbach, Lea M. Subcell finite volume multigrid preconditioning for high-order discontinuous Galerkin methods. (English) Zbl 07474499 Int. J. Comput. Fluid Dyn. 33, No. 9, 353-361 (2019). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{P. Birken} et al., Int. J. Comput. Fluid Dyn. 33, No. 9, 353--361 (2019; Zbl 07474499) Full Text: DOI
Del Rey Fernández, David C.; Hicken, Jason E.; Zingg, David W. Simultaneous approximation terms for multi-dimensional summation-by-parts operators. (English) Zbl 06865000 J. Sci. Comput. 75, No. 1, 83-110 (2018). MSC: 65-XX PDFBibTeX XMLCite \textit{D. C. Del Rey Fernández} et al., J. Sci. Comput. 75, No. 1, 83--110 (2018; Zbl 06865000) Full Text: DOI arXiv
Nordström, Jan A roadmap to well posed and stable problems in computational physics. (English) Zbl 06849361 J. Sci. Comput. 71, No. 1, 365-385 (2017). MSC: 65-XX PDFBibTeX XMLCite \textit{J. Nordström}, J. Sci. Comput. 71, No. 1, 365--385 (2017; Zbl 06849361) Full Text: DOI Link