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- Q428273 subject Q7481097.
- Q428273 subject Q8458589.
- Q428273 subject Q8690272.
- Q428273 abstract "In applied mathematics, discontinuous Galerkin methods (DG methods) form a class of numerical methods for solving differential equations. They combine features of the finite element and the finite volume framework and have been successfully applied to hyperbolic, elliptic, parabolic and mixed form problems arising from a wide range of applications. DG methods have in particular received considerable interest for problems with a dominant first-order part, e.g. in electrodynamics, fluid mechanics and plasma physics.Discontinuous Galerkin methods were first proposed and analyzed in the early 1970s as a technique to numerically solve partial differential equations. In 1973 Reed and Hill introduced a DG method to solve the hyperbolic neutron transport equation.The origin of the DG method for elliptic problems cannot be traced back to a single publication as features such as jump penalization in the modern sense were developed gradually. However, among the early influential contributors were Babuška, J.-L. Lions, Nitsche and Miloš Zlámal. DG methods for elliptic problems were already developed in a paper by Baker in the setting of 4th order equations in 1977. A more complete account of the historical development and an introduction to DG methods for elliptic problems is given in a publication by Arnold, Brezzi, Cockburn and Marini. A number of research directions and challenges on DG methods are collected in the proceedings volume edited by Cockburn, Karniadakis and Shu.".
- Q428273 wikiPageExternalLink 1.9780898717440.
- Q428273 wikiPageExternalLink Discontinuous_Galerkin.
- Q428273 wikiPageExternalLink 978-0-387-72065-4.
- Q428273 wikiPageExternalLink 978-3-642-22979-4.
- Q428273 wikiPageWikiLink Q10251.
- Q428273 wikiPageWikiLink Q11214.
- Q428273 wikiPageWikiLink Q11216.
- Q428273 wikiPageWikiLink Q1375837.
- Q428273 wikiPageWikiLink Q1401936.
- Q428273 wikiPageWikiLink Q1491980.
- Q428273 wikiPageWikiLink Q1575416.
- Q428273 wikiPageWikiLink Q172145.
- Q428273 wikiPageWikiLink Q2037833.
- Q428273 wikiPageWikiLink Q217219.
- Q428273 wikiPageWikiLink Q220184.
- Q428273 wikiPageWikiLink Q2627459.
- Q428273 wikiPageWikiLink Q2635635.
- Q428273 wikiPageWikiLink Q273328.
- Q428273 wikiPageWikiLink Q3607962.
- Q428273 wikiPageWikiLink Q377930.
- Q428273 wikiPageWikiLink Q7481097.
- Q428273 wikiPageWikiLink Q8458589.
- Q428273 wikiPageWikiLink Q8690272.
- Q428273 wikiPageWikiLink Q934367.
- Q428273 wikiPageWikiLink Q982534.
- Q428273 wikiPageWikiLink Q9993851.
- Q428273 comment "In applied mathematics, discontinuous Galerkin methods (DG methods) form a class of numerical methods for solving differential equations. They combine features of the finite element and the finite volume framework and have been successfully applied to hyperbolic, elliptic, parabolic and mixed form problems arising from a wide range of applications. DG methods have in particular received considerable interest for problems with a dominant first-order part, e.g.".
- Q428273 label "Discontinuous Galerkin method".