FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2078328989> ?p ?o ?g. }

• W2078328989 abstract "Abstract We extend the multiscale finite element method (MsFEM) as formulated by Hou and Wu in [Hou T.Y., Wu X.-H., A multiscale finite element method for elliptic problems in composite materials and porous media, J. Comput. Phys., 1997, 134(1), 169–189] to the PDE system of linear elasticity. The application, motivated by the multiscale analysis of highly heterogeneous composite materials, is twofold. Resolving the heterogeneities on the finest scale, we utilize the linear MsFEM basis for the construction of robust coarse spaces in the context of two-level overlapping domain decomposition preconditioners. We motivate and explain the construction and show that the constructed multiscale coarse space contains all the rigid body modes. Under the assumption that the material jumps are isolated, that is they occur only in the interior of the coarse grid elements, our numerical experiments show uniform convergence rates independent of the contrast in Young’s modulus within the heterogeneous material. Elsewise, if no restrictions on the position of the high coefficient inclusions are imposed, robustness cannot be guaranteed any more. These results justify expectations to obtain coefficient-explicit condition number bounds for the PDE system of linear elasticity similar to existing ones for scalar elliptic PDEs as given in the work of Graham, Lechner and Scheichl [Graham I.G., Lechner P.O., Scheichl R., Domain decomposition for multiscale PDEs, Numer. Math., 2007, 106(4), 589–626]. Furthermore, we numerically observe the properties of the MsFEM coarse space for linear elasticity in an upscaling framework. Therefore, we present experimental results showing the approximation errors of the multiscale coarse space w.r.t. the fine-scale solution." @default.
• W2078328989 created "2016-06-24" @default.
• W2078328989 creator A5016486170 @default.
• W2078328989 creator A5055411938 @default.
• W2078328989 creator A5060598527 @default.
• W2078328989 date "2013-01-01" @default.
• W2078328989 modified "2023-09-26" @default.
• W2078328989 title "Multiscale finite element coarse spaces for the application to linear elasticity" @default.
• W2078328989 cites W145711262 @default.
• W2078328989 cites W1506342804 @default.
• W2078328989 cites W1538865246 @default.
• W2078328989 cites W1548589512 @default.
• W2078328989 cites W1966480196 @default.
• W2078328989 cites W1968536045 @default.
• W2078328989 cites W1974248939 @default.
• W2078328989 cites W1984471539 @default.
• W2078328989 cites W1986442363 @default.
• W2078328989 cites W1986746311 @default.
• W2078328989 cites W2002284134 @default.
• W2078328989 cites W2010580838 @default.
• W2078328989 cites W2018074366 @default.
• W2078328989 cites W2028942823 @default.
• W2078328989 cites W2029918260 @default.
• W2078328989 cites W2030373618 @default.
• W2078328989 cites W2030947573 @default.
• W2078328989 cites W2032888785 @default.
• W2078328989 cites W2040173915 @default.
• W2078328989 cites W2051570063 @default.
• W2078328989 cites W2052275102 @default.
• W2078328989 cites W2117293438 @default.
• W2078328989 cites W2166179838 @default.
• W2078328989 cites W2252040419 @default.
• W2078328989 cites W2963631308 @default.
• W2078328989 cites W592368443 @default.
• W2078328989 cites W91010867 @default.
• W2078328989 doi "https://doi.org/10.2478/s11533-012-0166-8" @default.
• W2078328989 hasPublicationYear "2013" @default.
• W2078328989 type Work @default.
• W2078328989 sameAs 2078328989 @default.
• W2078328989 citedByCount "14" @default.
• W2078328989 countsByYear W20783289892013 @default.
• W2078328989 countsByYear W20783289892014 @default.
• W2078328989 countsByYear W20783289892015 @default.
• W2078328989 countsByYear W20783289892017 @default.
• W2078328989 countsByYear W20783289892018 @default.
• W2078328989 countsByYear W20783289892020 @default.
• W2078328989 countsByYear W20783289892021 @default.
• W2078328989 countsByYear W20783289892023 @default.
• W2078328989 crossrefType "journal-article" @default.
• W2078328989 hasAuthorship W2078328989A5016486170 @default.
• W2078328989 hasAuthorship W2078328989A5055411938 @default.
• W2078328989 hasAuthorship W2078328989A5060598527 @default.
• W2078328989 hasBestOaLocation W20783289891 @default.
• W2078328989 hasConcept C121332964 @default.
• W2078328989 hasConcept C121854251 @default.
• W2078328989 hasConcept C130217890 @default.
• W2078328989 hasConcept C134306372 @default.
• W2078328989 hasConcept C135628077 @default.
• W2078328989 hasConcept C159985019 @default.
• W2078328989 hasConcept C187691185 @default.
• W2078328989 hasConcept C18903297 @default.
• W2078328989 hasConcept C192562407 @default.
• W2078328989 hasConcept C198880260 @default.
• W2078328989 hasConcept C2524010 @default.
• W2078328989 hasConcept C2778722038 @default.
• W2078328989 hasConcept C28826006 @default.
• W2078328989 hasConcept C3161131 @default.
• W2078328989 hasConcept C33923547 @default.
• W2078328989 hasConcept C6802819 @default.
• W2078328989 hasConcept C86803240 @default.
• W2078328989 hasConcept C97355855 @default.
• W2078328989 hasConceptScore W2078328989C121332964 @default.
• W2078328989 hasConceptScore W2078328989C121854251 @default.
• W2078328989 hasConceptScore W2078328989C130217890 @default.
• W2078328989 hasConceptScore W2078328989C134306372 @default.
• W2078328989 hasConceptScore W2078328989C135628077 @default.
• W2078328989 hasConceptScore W2078328989C159985019 @default.
• W2078328989 hasConceptScore W2078328989C187691185 @default.
• W2078328989 hasConceptScore W2078328989C18903297 @default.
• W2078328989 hasConceptScore W2078328989C192562407 @default.
• W2078328989 hasConceptScore W2078328989C198880260 @default.
• W2078328989 hasConceptScore W2078328989C2524010 @default.
• W2078328989 hasConceptScore W2078328989C2778722038 @default.
• W2078328989 hasConceptScore W2078328989C28826006 @default.
• W2078328989 hasConceptScore W2078328989C3161131 @default.
• W2078328989 hasConceptScore W2078328989C33923547 @default.
• W2078328989 hasConceptScore W2078328989C6802819 @default.
• W2078328989 hasConceptScore W2078328989C86803240 @default.
• W2078328989 hasConceptScore W2078328989C97355855 @default.
• W2078328989 hasIssue "4" @default.
• W2078328989 hasLocation W20783289891 @default.
• W2078328989 hasOpenAccess W2078328989 @default.
• W2078328989 hasPrimaryLocation W20783289891 @default.
• W2078328989 hasRelatedWork W1585124703 @default.
• W2078328989 hasRelatedWork W1989048979 @default.
• W2078328989 hasRelatedWork W2082025777 @default.
• W2078328989 hasRelatedWork W2128311588 @default.
• W2078328989 hasRelatedWork W2153132837 @default.
• W2078328989 hasRelatedWork W2412215224 @default.
• W2078328989 hasRelatedWork W2964153873 @default.

• next