Matches in SemOpenAlex for { <https://semopenalex.org/work/W1975518463> ?p ?o ?g. }
- W1975518463 endingPage "298" @default.
- W1975518463 startingPage "289" @default.
- W1975518463 abstract "Abstract When using continuous finite element methods for unsteady simulations, one must invert a global mass matrix even for an explicit time advancement scheme. In this paper we develop a local mass matrix inversion procedure for p = 2, C 0 tetrahedral elements and also show that, unlike on triangles [B.T. Helenbrook, SIAM J. Numer. Anal., 47 (2009) 1304–1318], this procedure does not generalize to higher order. For the p = 2 basis, it is demonstrated that the accuracy of the local inversion is better than any previous mass lumping scheme. This allows the development of fast and low memory iterative algorithms as well as accurate explicit computations to be performed. The efficiency of using the approach as an iterative relaxation scheme for solving the Helmholtz equation is shown by comparing to more standard approaches such as p -multigrid with Jacobi relaxation. Lastly, the local mass matrix inversion is used to march the unsteady heat equation explicitly with third order spatial accuracy." @default.
- W1975518463 created "2016-06-24" @default.
- W1975518463 creator A5060695395 @default.
- W1975518463 creator A5065399285 @default.
- W1975518463 date "2012-03-01" @default.
- W1975518463 modified "2023-09-27" @default.
- W1975518463 title "p=2 Continuous finite elements on tetrahedra with local mass matrix inversion" @default.
- W1975518463 cites W1976584147 @default.
- W1975518463 cites W2030213082 @default.
- W1975518463 cites W2037231404 @default.
- W1975518463 cites W2037414284 @default.
- W1975518463 cites W2040787464 @default.
- W1975518463 cites W2041640855 @default.
- W1975518463 cites W2049548546 @default.
- W1975518463 cites W2065295225 @default.
- W1975518463 cites W2069847339 @default.
- W1975518463 cites W2087939227 @default.
- W1975518463 cites W2091354775 @default.
- W1975518463 cites W2093642301 @default.
- W1975518463 cites W2093842590 @default.
- W1975518463 cites W2112311198 @default.
- W1975518463 cites W2114224585 @default.
- W1975518463 cites W2124802807 @default.
- W1975518463 cites W2142296733 @default.
- W1975518463 cites W2144755990 @default.
- W1975518463 cites W2161695731 @default.
- W1975518463 cites W2167557857 @default.
- W1975518463 doi "https://doi.org/10.1016/j.cma.2011.12.001" @default.
- W1975518463 hasPublicationYear "2012" @default.
- W1975518463 type Work @default.
- W1975518463 sameAs 1975518463 @default.
- W1975518463 citedByCount "2" @default.
- W1975518463 countsByYear W19755184632013 @default.
- W1975518463 countsByYear W19755184632018 @default.
- W1975518463 crossrefType "journal-article" @default.
- W1975518463 hasAuthorship W1975518463A5060695395 @default.
- W1975518463 hasAuthorship W1975518463A5065399285 @default.
- W1975518463 hasConcept C105239961 @default.
- W1975518463 hasConcept C106487976 @default.
- W1975518463 hasConcept C109007969 @default.
- W1975518463 hasConcept C11413529 @default.
- W1975518463 hasConcept C121332964 @default.
- W1975518463 hasConcept C126255220 @default.
- W1975518463 hasConcept C134306372 @default.
- W1975518463 hasConcept C135585149 @default.
- W1975518463 hasConcept C135628077 @default.
- W1975518463 hasConcept C137119250 @default.
- W1975518463 hasConcept C151730666 @default.
- W1975518463 hasConcept C157206272 @default.
- W1975518463 hasConcept C159694833 @default.
- W1975518463 hasConcept C159985019 @default.
- W1975518463 hasConcept C185544564 @default.
- W1975518463 hasConcept C186453547 @default.
- W1975518463 hasConcept C1893757 @default.
- W1975518463 hasConcept C192562407 @default.
- W1975518463 hasConcept C2524010 @default.
- W1975518463 hasConcept C28826006 @default.
- W1975518463 hasConcept C33923547 @default.
- W1975518463 hasConcept C45374587 @default.
- W1975518463 hasConcept C62520636 @default.
- W1975518463 hasConcept C86803240 @default.
- W1975518463 hasConcept C93779851 @default.
- W1975518463 hasConcept C97355855 @default.
- W1975518463 hasConceptScore W1975518463C105239961 @default.
- W1975518463 hasConceptScore W1975518463C106487976 @default.
- W1975518463 hasConceptScore W1975518463C109007969 @default.
- W1975518463 hasConceptScore W1975518463C11413529 @default.
- W1975518463 hasConceptScore W1975518463C121332964 @default.
- W1975518463 hasConceptScore W1975518463C126255220 @default.
- W1975518463 hasConceptScore W1975518463C134306372 @default.
- W1975518463 hasConceptScore W1975518463C135585149 @default.
- W1975518463 hasConceptScore W1975518463C135628077 @default.
- W1975518463 hasConceptScore W1975518463C137119250 @default.
- W1975518463 hasConceptScore W1975518463C151730666 @default.
- W1975518463 hasConceptScore W1975518463C157206272 @default.
- W1975518463 hasConceptScore W1975518463C159694833 @default.
- W1975518463 hasConceptScore W1975518463C159985019 @default.
- W1975518463 hasConceptScore W1975518463C185544564 @default.
- W1975518463 hasConceptScore W1975518463C186453547 @default.
- W1975518463 hasConceptScore W1975518463C1893757 @default.
- W1975518463 hasConceptScore W1975518463C192562407 @default.
- W1975518463 hasConceptScore W1975518463C2524010 @default.
- W1975518463 hasConceptScore W1975518463C28826006 @default.
- W1975518463 hasConceptScore W1975518463C33923547 @default.
- W1975518463 hasConceptScore W1975518463C45374587 @default.
- W1975518463 hasConceptScore W1975518463C62520636 @default.
- W1975518463 hasConceptScore W1975518463C86803240 @default.
- W1975518463 hasConceptScore W1975518463C93779851 @default.
- W1975518463 hasConceptScore W1975518463C97355855 @default.
- W1975518463 hasLocation W19755184631 @default.
- W1975518463 hasOpenAccess W1975518463 @default.
- W1975518463 hasPrimaryLocation W19755184631 @default.
- W1975518463 hasRelatedWork W1863931 @default.
- W1975518463 hasRelatedWork W1981010407 @default.
- W1975518463 hasRelatedWork W2008247388 @default.
- W1975518463 hasRelatedWork W2022811151 @default.
- W1975518463 hasRelatedWork W2027098052 @default.
- W1975518463 hasRelatedWork W2028725765 @default.