FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2066800061> ?p ?o ?g. }

• W2066800061 endingPage "1135" @default.
• W2066800061 startingPage "1115" @default.
• W2066800061 abstract "Abstract We describe two approaches to resolving shocks and other discontinuities in spacetime discontinuous Galerkin (SDG) methods for nonlinear conservation laws. The first is an adaptation of the sub‐cell shock‐capturing technique, recently introduced by Persson and Peraire, to the special circumstances of SDG solutions constructed on causal spacetime grids. We restrict the stabilization operator to spacetime element interiors, thereby preserving the 𝒪( N ) computational complexity and the element‐wise conservation properties of the basic SDG method, and use a special discontinuity indicator to limit the stabilization to elements traversed by discontinuous solution features. The method resolves discontinuities within individual spacetime elements having a sufficiently high‐order basis. Numerical studies demonstrate the combination of sub‐cell shock capturing with h ‐adaptive spacetime meshing that circumvents the projection errors inherent to purely spatial remeshing procedures. In a second method, we use adaptive spacetime meshing operations to track the trajectories of singular surfaces while maintaining the quality of the surrounding mesh. We present a series of feasibility studies where we track shocks and contact discontinuities in solutions to the inviscid Euler equations, including an example where the trajectories are not known a priori . The SDG‐tracking method sharply resolves discontinuities without mesh refinement and requires very little stabilization. Copyright © 2008 John Wiley & Sons, Ltd." @default.
• W2066800061 created "2016-06-24" @default.
• W2066800061 creator A5047842618 @default.
• W2066800061 creator A5048907582 @default.
• W2066800061 creator A5091537826 @default.
• W2066800061 date "2008-06-13" @default.
• W2066800061 modified "2023-10-13" @default.
• W2066800061 title "Sub‐cell shock capturing and spacetime discontinuity tracking for nonlinear conservation laws" @default.
• W2066800061 cites W1489714511 @default.
• W2066800061 cites W1965658958 @default.
• W2066800061 cites W1973481688 @default.
• W2066800061 cites W1974983595 @default.
• W2066800061 cites W1979413834 @default.
• W2066800061 cites W1979560958 @default.
• W2066800061 cites W1994125095 @default.
• W2066800061 cites W1997511396 @default.
• W2066800061 cites W2018039791 @default.
• W2066800061 cites W2039150507 @default.
• W2066800061 cites W2043057066 @default.
• W2066800061 cites W2045849310 @default.
• W2066800061 cites W2047348496 @default.
• W2066800061 cites W2058713818 @default.
• W2066800061 cites W2073897969 @default.
• W2066800061 cites W2081177856 @default.
• W2066800061 cites W2083850330 @default.
• W2066800061 cites W2085961649 @default.
• W2066800061 cites W2086654907 @default.
• W2066800061 cites W2090815556 @default.
• W2066800061 cites W2104463304 @default.
• W2066800061 cites W2122177687 @default.
• W2066800061 cites W2126479355 @default.
• W2066800061 cites W2169772513 @default.
• W2066800061 cites W2329498394 @default.
• W2066800061 cites W27306639 @default.
• W2066800061 cites W4206139584 @default.
• W2066800061 doi "https://doi.org/10.1002/fld.1850" @default.
• W2066800061 hasPublicationYear "2008" @default.
• W2066800061 type Work @default.
• W2066800061 sameAs 2066800061 @default.
• W2066800061 citedByCount "16" @default.
• W2066800061 countsByYear W20668000612014 @default.
• W2066800061 countsByYear W20668000612015 @default.
• W2066800061 countsByYear W20668000612017 @default.
• W2066800061 countsByYear W20668000612018 @default.
• W2066800061 countsByYear W20668000612019 @default.
• W2066800061 countsByYear W20668000612020 @default.
• W2066800061 countsByYear W20668000612023 @default.
• W2066800061 crossrefType "journal-article" @default.
• W2066800061 hasAuthorship W2066800061A5047842618 @default.
• W2066800061 hasAuthorship W2066800061A5048907582 @default.
• W2066800061 hasAuthorship W2066800061A5091537826 @default.
• W2066800061 hasConcept C11413529 @default.
• W2066800061 hasConcept C121332964 @default.
• W2066800061 hasConcept C126322002 @default.
• W2066800061 hasConcept C130187892 @default.
• W2066800061 hasConcept C131053463 @default.
• W2066800061 hasConcept C134306372 @default.
• W2066800061 hasConcept C135628077 @default.
• W2066800061 hasConcept C15627037 @default.
• W2066800061 hasConcept C158622935 @default.
• W2066800061 hasConcept C2777042112 @default.
• W2066800061 hasConcept C2781300812 @default.
• W2066800061 hasConcept C28826006 @default.
• W2066800061 hasConcept C33923547 @default.
• W2066800061 hasConcept C3445786 @default.
• W2066800061 hasConcept C38409319 @default.
• W2066800061 hasConcept C41008148 @default.
• W2066800061 hasConcept C459310 @default.
• W2066800061 hasConcept C62520636 @default.
• W2066800061 hasConcept C71924100 @default.
• W2066800061 hasConcept C74650414 @default.
• W2066800061 hasConcept C86252789 @default.
• W2066800061 hasConcept C92244383 @default.
• W2066800061 hasConcept C97355855 @default.
• W2066800061 hasConceptScore W2066800061C11413529 @default.
• W2066800061 hasConceptScore W2066800061C121332964 @default.
• W2066800061 hasConceptScore W2066800061C126322002 @default.
• W2066800061 hasConceptScore W2066800061C130187892 @default.
• W2066800061 hasConceptScore W2066800061C131053463 @default.
• W2066800061 hasConceptScore W2066800061C134306372 @default.
• W2066800061 hasConceptScore W2066800061C135628077 @default.
• W2066800061 hasConceptScore W2066800061C15627037 @default.
• W2066800061 hasConceptScore W2066800061C158622935 @default.
• W2066800061 hasConceptScore W2066800061C2777042112 @default.
• W2066800061 hasConceptScore W2066800061C2781300812 @default.
• W2066800061 hasConceptScore W2066800061C28826006 @default.
• W2066800061 hasConceptScore W2066800061C33923547 @default.
• W2066800061 hasConceptScore W2066800061C3445786 @default.
• W2066800061 hasConceptScore W2066800061C38409319 @default.
• W2066800061 hasConceptScore W2066800061C41008148 @default.
• W2066800061 hasConceptScore W2066800061C459310 @default.
• W2066800061 hasConceptScore W2066800061C62520636 @default.
• W2066800061 hasConceptScore W2066800061C71924100 @default.
• W2066800061 hasConceptScore W2066800061C74650414 @default.
• W2066800061 hasConceptScore W2066800061C86252789 @default.
• W2066800061 hasConceptScore W2066800061C92244383 @default.
• W2066800061 hasConceptScore W2066800061C97355855 @default.
• W2066800061 hasIssue "9" @default.

• next