FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1981142209> ?p ?o ?g. }

• W1981142209 endingPage "26" @default.
• W1981142209 startingPage "1" @default.
• W1981142209 abstract "We introduce spectral element-based algebraic multigrid ($rho$AMGe), a new algebraic multigrid method for solving systems of algebraic equations that arise in Ritz-type finite element discretizations of partial differential equations. The method requires access to the element stiffness matrices, which enables accurate approximation of algebraically smooth vectors (i.e., error components that relaxation cannot effectively eliminate). Most other algebraic multigrid methods are based in some manner on predefined concepts of smoothness. Coarse-grid selection and prolongation, for example, are often defined assuming that smooth errors vary slowly in the direction of strong connections (relatively large coefficients in the operator matrix). One aim of $rho$AMGe is to broaden the range of problems to which the method can be successfully applied by avoiding any implicit premise about the nature of the smooth error. $rho$AMGe uses the spectral decomposition of small collections of element stiffness matrices to determine local representations of algebraically smooth error components. This provides a foundation for generating the coarse level and for defining effective interpolation. This paper presents a theoretical foundation for $rho$AMGe along with numerical experiments demonstrating its robustness." @default.
• W1981142209 created "2016-06-24" @default.
• W1981142209 creator A5007726175 @default.
• W1981142209 creator A5008694561 @default.
• W1981142209 creator A5026148848 @default.
• W1981142209 creator A5027636165 @default.
• W1981142209 creator A5047719926 @default.
• W1981142209 creator A5057085539 @default.
• W1981142209 creator A5067320421 @default.
• W1981142209 creator A5074054014 @default.
• W1981142209 date "2003-01-01" @default.
• W1981142209 modified "2023-10-09" @default.
• W1981142209 title "Spectral AMGe ($rho$AMGe)" @default.
• W1981142209 cites W1974521166 @default.
• W1981142209 cites W1995145527 @default.
• W1981142209 cites W1997542937 @default.
• W1981142209 cites W1997596109 @default.
• W1981142209 cites W2031859223 @default.
• W1981142209 cites W2072662440 @default.
• W1981142209 cites W2075536798 @default.
• W1981142209 cites W2097199462 @default.
• W1981142209 cites W2106088594 @default.
• W1981142209 cites W2125051291 @default.
• W1981142209 cites W4248626901 @default.
• W1981142209 doi "https://doi.org/10.1137/s106482750139892x" @default.
• W1981142209 hasPublicationYear "2003" @default.
• W1981142209 type Work @default.
• W1981142209 sameAs 1981142209 @default.
• W1981142209 citedByCount "104" @default.
• W1981142209 countsByYear W19811422092012 @default.
• W1981142209 countsByYear W19811422092013 @default.
• W1981142209 countsByYear W19811422092014 @default.
• W1981142209 countsByYear W19811422092015 @default.
• W1981142209 countsByYear W19811422092016 @default.
• W1981142209 countsByYear W19811422092017 @default.
• W1981142209 countsByYear W19811422092018 @default.
• W1981142209 countsByYear W19811422092019 @default.
• W1981142209 countsByYear W19811422092020 @default.
• W1981142209 countsByYear W19811422092021 @default.
• W1981142209 countsByYear W19811422092022 @default.
• W1981142209 countsByYear W19811422092023 @default.
• W1981142209 crossrefType "journal-article" @default.
• W1981142209 hasAuthorship W1981142209A5007726175 @default.
• W1981142209 hasAuthorship W1981142209A5008694561 @default.
• W1981142209 hasAuthorship W1981142209A5026148848 @default.
• W1981142209 hasAuthorship W1981142209A5027636165 @default.
• W1981142209 hasAuthorship W1981142209A5047719926 @default.
• W1981142209 hasAuthorship W1981142209A5057085539 @default.
• W1981142209 hasAuthorship W1981142209A5067320421 @default.
• W1981142209 hasAuthorship W1981142209A5074054014 @default.
• W1981142209 hasConcept C121332964 @default.
• W1981142209 hasConcept C121684516 @default.
• W1981142209 hasConcept C134306372 @default.
• W1981142209 hasConcept C135628077 @default.
• W1981142209 hasConcept C137119250 @default.
• W1981142209 hasConcept C137800194 @default.
• W1981142209 hasConcept C14198674 @default.
• W1981142209 hasConcept C198880260 @default.
• W1981142209 hasConcept C28826006 @default.
• W1981142209 hasConcept C33923547 @default.
• W1981142209 hasConcept C41008148 @default.
• W1981142209 hasConcept C502989409 @default.
• W1981142209 hasConcept C9376300 @default.
• W1981142209 hasConcept C93779851 @default.
• W1981142209 hasConcept C97355855 @default.
• W1981142209 hasConceptScore W1981142209C121332964 @default.
• W1981142209 hasConceptScore W1981142209C121684516 @default.
• W1981142209 hasConceptScore W1981142209C134306372 @default.
• W1981142209 hasConceptScore W1981142209C135628077 @default.
• W1981142209 hasConceptScore W1981142209C137119250 @default.
• W1981142209 hasConceptScore W1981142209C137800194 @default.
• W1981142209 hasConceptScore W1981142209C14198674 @default.
• W1981142209 hasConceptScore W1981142209C198880260 @default.
• W1981142209 hasConceptScore W1981142209C28826006 @default.
• W1981142209 hasConceptScore W1981142209C33923547 @default.
• W1981142209 hasConceptScore W1981142209C41008148 @default.
• W1981142209 hasConceptScore W1981142209C502989409 @default.
• W1981142209 hasConceptScore W1981142209C9376300 @default.
• W1981142209 hasConceptScore W1981142209C93779851 @default.
• W1981142209 hasConceptScore W1981142209C97355855 @default.
• W1981142209 hasIssue "1" @default.
• W1981142209 hasLocation W19811422091 @default.
• W1981142209 hasOpenAccess W1981142209 @default.
• W1981142209 hasPrimaryLocation W19811422091 @default.
• W1981142209 hasRelatedWork W1501940787 @default.
• W1981142209 hasRelatedWork W1524119935 @default.
• W1981142209 hasRelatedWork W1533062418 @default.
• W1981142209 hasRelatedWork W1758121264 @default.
• W1981142209 hasRelatedWork W2009858568 @default.
• W1981142209 hasRelatedWork W2011091376 @default.
• W1981142209 hasRelatedWork W2058854223 @default.
• W1981142209 hasRelatedWork W2161759000 @default.
• W1981142209 hasRelatedWork W2383355899 @default.
• W1981142209 hasRelatedWork W3144246503 @default.
• W1981142209 hasVolume "25" @default.
• W1981142209 isParatext "false" @default.
• W1981142209 isRetracted "false" @default.
• W1981142209 magId "1981142209" @default.

• next