Matches in SemOpenAlex for { <https://semopenalex.org/work/W3106538085> ?p ?o ?g. }
- W3106538085 endingPage "611" @default.
- W3106538085 startingPage "581" @default.
- W3106538085 abstract "In this article, discrete variants of several results from vector calculus are studied for classical finite difference summation by parts operators in two and three space dimensions. It is shown that existence theorems for scalar/vector potentials of irrotational/solenoidal vector fields cannot hold discretely because of grid oscillations, which are characterised explicitly. This results in a non-vanishing remainder associated with grid oscillations in the discrete Helmholtz Hodge decomposition. Nevertheless, iterative numerical methods based on an interpretation of the Helmholtz Hodge decomposition via orthogonal projections are proposed and applied successfully. In numerical experiments, the discrete remainder vanishes and the potentials converge with the same order of accuracy as usual in other first-order partial differential equations. Motivated by the successful application of the Helmholtz Hodge decomposition in theoretical plasma physics, applications to the discrete analysis of magnetohydrodynamic (MHD) wave modes are presented and discussed." @default.
- W3106538085 created "2020-11-23" @default.
- W3106538085 creator A5038911107 @default.
- W3106538085 creator A5039770131 @default.
- W3106538085 creator A5056123559 @default.
- W3106538085 date "2020-02-10" @default.
- W3106538085 modified "2023-09-26" @default.
- W3106538085 title "Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators" @default.
- W3106538085 cites W1495503452 @default.
- W3106538085 cites W1611269993 @default.
- W3106538085 cites W1965816824 @default.
- W3106538085 cites W1967421663 @default.
- W3106538085 cites W1968096687 @default.
- W3106538085 cites W1972670182 @default.
- W3106538085 cites W1983886273 @default.
- W3106538085 cites W1995071315 @default.
- W3106538085 cites W2004213392 @default.
- W3106538085 cites W2007169649 @default.
- W3106538085 cites W2010049741 @default.
- W3106538085 cites W2021307415 @default.
- W3106538085 cites W2021693488 @default.
- W3106538085 cites W2025734987 @default.
- W3106538085 cites W2032997846 @default.
- W3106538085 cites W2043341868 @default.
- W3106538085 cites W2044842665 @default.
- W3106538085 cites W2049068370 @default.
- W3106538085 cites W2049991352 @default.
- W3106538085 cites W2051465806 @default.
- W3106538085 cites W2061893170 @default.
- W3106538085 cites W2065978762 @default.
- W3106538085 cites W2088615679 @default.
- W3106538085 cites W2097897435 @default.
- W3106538085 cites W2104802194 @default.
- W3106538085 cites W2120575449 @default.
- W3106538085 cites W2144323510 @default.
- W3106538085 cites W2150128292 @default.
- W3106538085 cites W2155276545 @default.
- W3106538085 cites W2162276044 @default.
- W3106538085 cites W2225872045 @default.
- W3106538085 cites W2265668744 @default.
- W3106538085 cites W2332227794 @default.
- W3106538085 cites W2526384912 @default.
- W3106538085 cites W2554574516 @default.
- W3106538085 cites W2594063340 @default.
- W3106538085 cites W2607155708 @default.
- W3106538085 cites W2617356467 @default.
- W3106538085 cites W2724468202 @default.
- W3106538085 cites W2733724392 @default.
- W3106538085 cites W2753944674 @default.
- W3106538085 cites W2759593740 @default.
- W3106538085 cites W2794829641 @default.
- W3106538085 cites W2807235000 @default.
- W3106538085 cites W2911611941 @default.
- W3106538085 cites W2911643836 @default.
- W3106538085 cites W2949414414 @default.
- W3106538085 cites W2962801132 @default.
- W3106538085 cites W2963561940 @default.
- W3106538085 cites W3099689447 @default.
- W3106538085 cites W4249303611 @default.
- W3106538085 cites W4252104256 @default.
- W3106538085 cites W96454744 @default.
- W3106538085 doi "https://doi.org/10.1007/s42967-019-00057-2" @default.
- W3106538085 hasPublicationYear "2020" @default.
- W3106538085 type Work @default.
- W3106538085 sameAs 3106538085 @default.
- W3106538085 citedByCount "6" @default.
- W3106538085 countsByYear W31065380852020 @default.
- W3106538085 countsByYear W31065380852021 @default.
- W3106538085 countsByYear W31065380852022 @default.
- W3106538085 countsByYear W31065380852023 @default.
- W3106538085 crossrefType "journal-article" @default.
- W3106538085 hasAuthorship W3106538085A5038911107 @default.
- W3106538085 hasAuthorship W3106538085A5039770131 @default.
- W3106538085 hasAuthorship W3106538085A5056123559 @default.
- W3106538085 hasBestOaLocation W31065380852 @default.
- W3106538085 hasConcept C121332964 @default.
- W3106538085 hasConcept C134306372 @default.
- W3106538085 hasConcept C13626590 @default.
- W3106538085 hasConcept C147457402 @default.
- W3106538085 hasConcept C181330731 @default.
- W3106538085 hasConcept C182310444 @default.
- W3106538085 hasConcept C18591234 @default.
- W3106538085 hasConcept C2524010 @default.
- W3106538085 hasConcept C27592594 @default.
- W3106538085 hasConcept C33923547 @default.
- W3106538085 hasConcept C39613435 @default.
- W3106538085 hasConcept C5408677 @default.
- W3106538085 hasConcept C57691317 @default.
- W3106538085 hasConcept C62520636 @default.
- W3106538085 hasConcept C7451433 @default.
- W3106538085 hasConcept C84655787 @default.
- W3106538085 hasConcept C91188154 @default.
- W3106538085 hasConcept C93779851 @default.
- W3106538085 hasConcept C94375191 @default.
- W3106538085 hasConcept C97355855 @default.
- W3106538085 hasConceptScore W3106538085C121332964 @default.
- W3106538085 hasConceptScore W3106538085C134306372 @default.
- W3106538085 hasConceptScore W3106538085C13626590 @default.