{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,3]],"date-time":"2026-05-03T03:11:13Z","timestamp":1777777873090,"version":"3.51.4"},"reference-count":52,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100010877","name":"Science, Technology and Innovation Commission of Shenzhen Municipality","doi-asserted-by":"publisher","award":["RCJC20221008092757098"],"award-info":[{"award-number":["RCJC20221008092757098"]}],"id":[{"id":"10.13039\/501100010877","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12171227"],"award-info":[{"award-number":["12171227"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational Physics"],"published-print":{"date-parts":[[2025,4]]},"DOI":"10.1016\/j.jcp.2025.113769","type":"journal-article","created":{"date-parts":[[2025,1,23]],"date-time":"2025-01-23T18:58:04Z","timestamp":1737658684000},"page":"113769","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":9,"special_numbering":"C","title":["Robust DG schemes on unstructured triangular meshes: Oscillation elimination and bound preservation via optimal convex decomposition"],"prefix":"10.1016","volume":"526","author":[{"given":"Shengrong","family":"Ding","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shumo","family":"Cui","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kailiang","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.jcp.2025.113769_br0010","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/0168-9274(94)90029-9","article-title":"Parallel, adaptive finite element methods for conservation laws","volume":"14","author":"Biswas","year":"1994","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/j.jcp.2025.113769_br0020","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1016\/j.jcp.2017.05.025","article-title":"Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws","volume":"345","author":"Chen","year":"2017","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0030","doi-asserted-by":"crossref","first-page":"5736","DOI":"10.1016\/j.jcp.2008.02.007","article-title":"New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws","volume":"227","author":"Christov","year":"2008","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0040","first-page":"411","article-title":"TVB Runge\u2013Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework","volume":"52","author":"Cockburn","year":"1989","journal-title":"Math. Comput."},{"key":"10.1016\/j.jcp.2025.113769_br0050","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1051\/m2an\/1991250303371","article-title":"The Runge\u2013Kutta local projection P1-discontinuous-Galerkin finite element method for scalar conservation laws","volume":"25","author":"Cockburn","year":"1991","journal-title":"ESAIM, Math. Model. Numer. Anal."},{"key":"10.1016\/j.jcp.2025.113769_br0060","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1006\/jcph.1998.5892","article-title":"The Runge\u2013Kutta discontinuous Galerkin method for conservation laws V: multidimensional systems","volume":"141","author":"Cockburn","year":"1998","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0070","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/0021-9991(89)90183-6","article-title":"TVB Runge\u2013Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems","volume":"84","author":"Cockburn","year":"1989","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0080","first-page":"545","article-title":"The Runge\u2013Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case","volume":"54","author":"Cockburn","year":"1990","journal-title":"Math. Comput."},{"key":"10.1016\/j.jcp.2025.113769_br0090","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcp.2022.111882","article-title":"Is the classic convex decomposition optimal for bound-preserving schemes in multiple dimensions?","volume":"476","author":"Cui","year":"2023","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0100","doi-asserted-by":"crossref","first-page":"775","DOI":"10.1137\/23M1549365","article-title":"On optimal cell average decomposition for high-order bound-preserving schemes of hyperbolic conservation laws","volume":"62","author":"Cui","year":"2024","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.jcp.2025.113769_br0110","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcp.2020.109516","article-title":"On the conservation of finite difference WENO schemes in non-rectangular domains using the inverse Lax-Wendroff boundary treatments","volume":"415","author":"Ding","year":"2020","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0120","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1007\/s10915-023-02217-2","article-title":"An oscillation-free bound-preserving discontinuous Galerkin method for multi-component chemically reacting flows","volume":"95","author":"Du","year":"2023","journal-title":"J. Sci. Comput."},{"key":"10.1016\/j.jcp.2025.113769_br0130","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1137\/S003614450036757X","article-title":"Strong stability-preserving high-order time discretization methods","volume":"43","author":"Gottlieb","year":"2001","journal-title":"SIAM Rev."},{"key":"10.1016\/j.jcp.2025.113769_br0140","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1006\/jcph.1998.6165","article-title":"Weighted essentially non-oscillatory schemes on triangular meshes","volume":"150","author":"Hu","year":"1999","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0150","doi-asserted-by":"crossref","first-page":"A2943","DOI":"10.1137\/19M126565X","article-title":"An adaptive multiresolution discontinuous Galerkin method with artificial viscosity for scalar hyperbolic conservation laws in multidimensions","volume":"42","author":"Huang","year":"2020","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/j.jcp.2025.113769_br0160","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/j.jcp.2018.01.051","article-title":"Bound-preserving modified exponential Runge\u2013Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms","volume":"361","author":"Huang","year":"2018","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0170","series-title":"Finite Volume Methods for Hyperbolic Problems","volume":"vol. 31","author":"LeVeque","year":"2002"},{"key":"10.1016\/j.jcp.2025.113769_br0180","doi-asserted-by":"crossref","first-page":"995","DOI":"10.1137\/S1064827502402120","article-title":"Comparison of several difference schemes on 1D and 2D test problems for the Euler equations","volume":"25","author":"Liska","year":"2003","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/j.jcp.2025.113769_br0190","author":"Liu"},{"key":"10.1016\/j.jcp.2025.113769_br0200","doi-asserted-by":"crossref","first-page":"780","DOI":"10.1016\/j.jcp.2006.01.024","article-title":"Spectral difference method for unstructured grids I: basic formulation","volume":"216","author":"Liu","year":"2006","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0210","doi-asserted-by":"crossref","first-page":"A230","DOI":"10.1137\/21M140835X","article-title":"An essentially oscillation-free discontinuous Galerkin method for hyperbolic systems","volume":"44","author":"Liu","year":"2022","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/j.jcp.2025.113769_br0220","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/s10915-022-01893-w","article-title":"An oscillation-free discontinuous Galerkin method for shallow water equations","volume":"92","author":"Liu","year":"2022","journal-title":"J. Sci. Comput."},{"key":"10.1016\/j.jcp.2025.113769_br0230","doi-asserted-by":"crossref","first-page":"A1132","DOI":"10.1137\/22M1524151","article-title":"An entropy stable essentially oscillation-free discontinuous Galerkin method for hyperbolic conservation laws","volume":"46","author":"Liu","year":"2024","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/j.jcp.2025.113769_br0240","doi-asserted-by":"crossref","first-page":"1299","DOI":"10.1137\/20M1354192","article-title":"An oscillation-free discontinuous Galerkin method for scalar hyperbolic conservation laws","volume":"59","author":"Lu","year":"2021","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.jcp.2025.113769_br0250","author":"Niceno"},{"key":"10.1016\/j.jcp.2025.113769_br0260","doi-asserted-by":"crossref","DOI":"10.1090\/mcom\/3998","article-title":"OEDG: oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws","author":"Peng","year":"2024","journal-title":"Math. Comput."},{"key":"10.1016\/j.jcp.2025.113769_br0270","doi-asserted-by":"crossref","first-page":"907","DOI":"10.1137\/S1064827503425298","article-title":"Runge\u2013Kutta discontinuous Galerkin method using WENO limiters","volume":"26","author":"Qiu","year":"2005","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/j.jcp.2025.113769_br0280","series-title":"Triangular mesh methods for the neutron transport equation","author":"Reed","year":"1973"},{"key":"10.1016\/j.jcp.2025.113769_br0290","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1006\/jcph.1997.5745","article-title":"Accurate monotonicity-preserving schemes with Runge\u2013Kutta time stepping","volume":"136","author":"Suresh","year":"1997","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0300","doi-asserted-by":"crossref","first-page":"3145","DOI":"10.1002\/num.23003","article-title":"An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations","volume":"39","author":"Tao","year":"2023","journal-title":"Numer. Methods Partial Differ. Equ."},{"key":"10.1016\/j.jcp.2025.113769_br0310","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1111\/j.1365-2966.2007.11876.x","article-title":"Wham: a WENO-based general relativistic numerical scheme\u2013I. Hydrodynamics","volume":"379","author":"Tchekhovskoy","year":"2007","journal-title":"Mon. Not. R. Astron. Soc."},{"key":"10.1016\/j.jcp.2025.113769_br0320","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1016\/j.jcp.2003.09.012","article-title":"Spectral (finite) volume method for conservation laws on unstructured grids IV: extension to two-dimensional systems","volume":"194","author":"Wang","year":"2004","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0330","first-page":"45","article-title":"Spectral difference method for unstructured grids II: extension to the Euler equations","volume":"32","author":"Wang","year":"2007","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0340","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1006\/jcph.2002.7041","article-title":"Spectral (finite) volume method for conservation laws on unstructured grids: basic formulation","volume":"178","author":"Wang","year":"2002","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0350","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/0021-9991(84)90142-6","article-title":"The numerical simulation of two-dimensional fluid flow with strong shocks","volume":"54","author":"Woodward","year":"1984","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0360","doi-asserted-by":"crossref","first-page":"995","DOI":"10.1007\/s00211-019-01042-w","article-title":"Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes","volume":"142","author":"Wu","year":"2019","journal-title":"Numer. Math."},{"key":"10.1016\/j.jcp.2025.113769_br0370","doi-asserted-by":"crossref","first-page":"1031","DOI":"10.1137\/21M1458247","article-title":"Geometric quasilinearization framework for analysis and design of bound-preserving schemes","volume":"65","author":"Wu","year":"2023","journal-title":"SIAM Rev."},{"key":"10.1016\/j.jcp.2025.113769_br0380","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1016\/j.jcp.2015.06.012","article-title":"High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics","volume":"298","author":"Wu","year":"2015","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0390","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1137\/22M1486996","article-title":"Provably positive central discontinuous Galerkin schemes via geometric quasilinearization for ideal MHD equations","volume":"61","author":"Wu","year":"2023","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.jcp.2025.113769_br0400","doi-asserted-by":"crossref","first-page":"2124","DOI":"10.1137\/18M1168017","article-title":"Positivity-preserving analysis of numerical schemes for ideal magnetohydrodynamics","volume":"56","author":"Wu","year":"2018","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.jcp.2025.113769_br0410","doi-asserted-by":"crossref","first-page":"2537","DOI":"10.1142\/S0218202524500544","article-title":"Uniformly high-order bound-preserving OEDG schemes for two-phase flows","volume":"34","author":"Yan","year":"2024","journal-title":"Math. Models Methods Appl. Sci."},{"key":"10.1016\/j.jcp.2025.113769_br0420","doi-asserted-by":"crossref","first-page":"1309","DOI":"10.4208\/cicp.OA-2019-0118","article-title":"A study of several artificial viscosity models within the discontinuous Galerkin framework","volume":"27","author":"Yu","year":"2020","journal-title":"Commun. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0430","doi-asserted-by":"crossref","first-page":"3091","DOI":"10.1016\/j.jcp.2009.12.030","article-title":"On maximum-principle-satisfying high order schemes for scalar conservation laws","volume":"229","author":"Zhang","year":"2010","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0440","doi-asserted-by":"crossref","first-page":"8918","DOI":"10.1016\/j.jcp.2010.08.016","article-title":"On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes","volume":"229","author":"Zhang","year":"2010","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0450","first-page":"2752","article-title":"Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments","volume":"467","author":"Zhang","year":"2011","journal-title":"Proc. R. Soc. A, Math. Phys. Eng. Sci."},{"key":"10.1016\/j.jcp.2025.113769_br0460","first-page":"89","article-title":"A set of symmetric quadrature rules on triangles and tetrahedra","volume":"27","author":"Zhang","year":"2009","journal-title":"J. Comput. Math."},{"key":"10.1016\/j.jcp.2025.113769_br0470","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1007\/s10915-011-9472-8","article-title":"Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes","volume":"50","author":"Zhang","year":"2012","journal-title":"J. Sci. Comput."},{"key":"10.1016\/j.jcp.2025.113769_br0480","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/j.jcp.2016.10.002","article-title":"On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier\u2013Stokes equations","volume":"328","author":"Zhang","year":"2017","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0490","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1016\/j.jcp.2012.08.028","article-title":"A simple weighted essentially nonoscillatory limiter for Runge\u2013Kutta discontinuous Galerkin methods","volume":"232","author":"Zhong","year":"2013","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0500","doi-asserted-by":"crossref","first-page":"A903","DOI":"10.1137\/17M1112790","article-title":"New finite volume weighted essentially nonoscillatory schemes on triangular meshes","volume":"40","author":"Zhu","year":"2018","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/j.jcp.2025.113769_br0510","doi-asserted-by":"crossref","first-page":"4330","DOI":"10.1016\/j.jcp.2007.12.024","article-title":"Runge\u2013Kutta discontinuous Galerkin method using WENO limiters II: unstructured meshes","volume":"227","author":"Zhu","year":"2008","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2025.113769_br0520","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1016\/j.cma.2012.08.018","article-title":"Implementation of the entropy viscosity method with the discontinuous Galerkin method","volume":"253","author":"Zingan","year":"2013","journal-title":"Comput. Methods Appl. Mech. Eng."}],"container-title":["Journal of Computational Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S002199912500052X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S002199912500052X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,11,3]],"date-time":"2025-11-03T19:22:41Z","timestamp":1762197761000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S002199912500052X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4]]},"references-count":52,"alternative-id":["S002199912500052X"],"URL":"https:\/\/doi.org\/10.1016\/j.jcp.2025.113769","relation":{},"ISSN":["0021-9991"],"issn-type":[{"value":"0021-9991","type":"print"}],"subject":[],"published":{"date-parts":[[2025,4]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Robust DG schemes on unstructured triangular meshes: Oscillation elimination and bound preservation via optimal convex decomposition","name":"articletitle","label":"Article Title"},{"value":"Journal of Computational Physics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jcp.2025.113769","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"113769"}}