Matches in SemOpenAlex for { <https://semopenalex.org/work/W2886024701> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2886024701 abstract "Summation-by-parts (SBP) operators have been used in the finite difference framework, providing means to prove conservation and discrete stability by the energy method, predominantly for linear (or linearised) equations. Recently, there have been some approaches to generalise the notion of SBP operators and to apply these ideas to other methods. The correction procedure via reconstruction (CPR), also known as flux reconstruction (FR) or lifting collocation penalty (LCP), is a unifying framework of high order methods for conservation laws, recovering some discontinuous Galerkin, spectral difference and spectral volume methods. Using a reformulation of CPR methods relying on SBP operators and simultaneous approximation terms (SATs), conservation and stability are investigated, recovering the linearly stable CPR schemes of Vincent et al. (2011, 2015). Extensions of SBP methods with diagonal-norm operators to Burgers’ equation are possible by a skew-symmetric form and the introduction of additional correction terms. An analytical setting allowing a generalised notion of SBP methods including modal bases is described and applied to Burgers’ equation, resulting in an extension of the previously mentioned skew-symmetric form. Finally, an extension of the results to multiple space dimensions is presented." @default.
- W2886024701 created "2018-08-22" @default.
- W2886024701 creator A5056123559 @default.
- W2886024701 date "2016-01-01" @default.
- W2886024701 modified "2023-09-23" @default.
- W2886024701 title "SBP operators for CPR methods: Master's thesis" @default.
- W2886024701 cites W1495503452 @default.
- W2886024701 cites W1583892864 @default.
- W2886024701 cites W2004213392 @default.
- W2886024701 cites W2004430899 @default.
- W2886024701 cites W2010255942 @default.
- W2886024701 cites W2023198396 @default.
- W2886024701 cites W2072226973 @default.
- W2886024701 cites W2157563040 @default.
- W2886024701 cites W2265668744 @default.
- W2886024701 cites W2964350974 @default.
- W2886024701 doi "https://doi.org/10.24355/dbbs.084-201605271143-0" @default.
- W2886024701 hasPublicationYear "2016" @default.
- W2886024701 type Work @default.
- W2886024701 sameAs 2886024701 @default.
- W2886024701 citedByCount "0" @default.
- W2886024701 crossrefType "journal-article" @default.
- W2886024701 hasAuthorship W2886024701A5056123559 @default.
- W2886024701 hasConcept C112972136 @default.
- W2886024701 hasConcept C119857082 @default.
- W2886024701 hasConcept C129747778 @default.
- W2886024701 hasConcept C130367717 @default.
- W2886024701 hasConcept C134306372 @default.
- W2886024701 hasConcept C136119220 @default.
- W2886024701 hasConcept C199343813 @default.
- W2886024701 hasConcept C202444582 @default.
- W2886024701 hasConcept C2524010 @default.
- W2886024701 hasConcept C2777686260 @default.
- W2886024701 hasConcept C28826006 @default.
- W2886024701 hasConcept C33923547 @default.
- W2886024701 hasConcept C3445786 @default.
- W2886024701 hasConcept C41008148 @default.
- W2886024701 hasConcept C71924100 @default.
- W2886024701 hasConcept C93779851 @default.
- W2886024701 hasConceptScore W2886024701C112972136 @default.
- W2886024701 hasConceptScore W2886024701C119857082 @default.
- W2886024701 hasConceptScore W2886024701C129747778 @default.
- W2886024701 hasConceptScore W2886024701C130367717 @default.
- W2886024701 hasConceptScore W2886024701C134306372 @default.
- W2886024701 hasConceptScore W2886024701C136119220 @default.
- W2886024701 hasConceptScore W2886024701C199343813 @default.
- W2886024701 hasConceptScore W2886024701C202444582 @default.
- W2886024701 hasConceptScore W2886024701C2524010 @default.
- W2886024701 hasConceptScore W2886024701C2777686260 @default.
- W2886024701 hasConceptScore W2886024701C28826006 @default.
- W2886024701 hasConceptScore W2886024701C33923547 @default.
- W2886024701 hasConceptScore W2886024701C3445786 @default.
- W2886024701 hasConceptScore W2886024701C41008148 @default.
- W2886024701 hasConceptScore W2886024701C71924100 @default.
- W2886024701 hasConceptScore W2886024701C93779851 @default.
- W2886024701 hasLocation W28860247011 @default.
- W2886024701 hasOpenAccess W2886024701 @default.
- W2886024701 hasPrimaryLocation W28860247011 @default.
- W2886024701 hasRelatedWork W1501687505 @default.
- W2886024701 hasRelatedWork W155281260 @default.
- W2886024701 hasRelatedWork W1568487519 @default.
- W2886024701 hasRelatedWork W2020203932 @default.
- W2886024701 hasRelatedWork W2034167241 @default.
- W2886024701 hasRelatedWork W2092625275 @default.
- W2886024701 hasRelatedWork W2145831035 @default.
- W2886024701 hasRelatedWork W2158729756 @default.
- W2886024701 hasRelatedWork W2161373465 @default.
- W2886024701 hasRelatedWork W2192196740 @default.
- W2886024701 hasRelatedWork W2219241263 @default.
- W2886024701 hasRelatedWork W2290866822 @default.
- W2886024701 hasRelatedWork W2312677017 @default.
- W2886024701 hasRelatedWork W287331083 @default.
- W2886024701 hasRelatedWork W2952664105 @default.
- W2886024701 hasRelatedWork W2963670608 @default.
- W2886024701 hasRelatedWork W2968078056 @default.
- W2886024701 hasRelatedWork W3023286607 @default.
- W2886024701 hasRelatedWork W3198406541 @default.
- W2886024701 hasRelatedWork W41142165 @default.
- W2886024701 isParatext "false" @default.
- W2886024701 isRetracted "false" @default.
- W2886024701 magId "2886024701" @default.
- W2886024701 workType "article" @default.