FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3113016951> ?p ?o ?g. }

• W3113016951 abstract "Abstract In the past decades, multigrid methods for linear systems having multilevel Toeplitz coefficient matrices with scalar entries have been widely studied. On the other hand, only few papers have investigated the case of block entries, where the entries are small generic matrices of fixed size instead of scalars. In that case the efforts of the researchers have been mainly devoted to specific applications, focusing on algorithmic proposals, but with marginal theoretical results. In this paper, we propose a general two‐grid convergence analysis, proving an optimal convergence rate independent of the matrix size, in the case of positive definite block‐Toeplitz matrices with generic blocks. In particular, the proof of the approximation property is not a straightforward generalization of the scalar case and, in fact, we have to require a specific commutativity condition on the block symbol of the grid transfer operator. According to the analysis, we define a class of grid transfer operators satisfying the previous theoretical conditions and we propose a strategy to ensure fast multigrid convergence even for more than two grids. Among the numerous applications that lead to the block‐Toeplitz structure, high‐order Lagrangian finite element methods and staggered discontinuous Galerkin methods are considered in the numerical results, confirming the effectiveness of our proposal and the correctness of the proposed theoretical analysis." @default.
• W3113016951 created "2020-12-21" @default.
• W3113016951 creator A5009786921 @default.
• W3113016951 creator A5052976118 @default.
• W3113016951 creator A5056157710 @default.
• W3113016951 creator A5079763074 @default.
• W3113016951 creator A5083413521 @default.
• W3113016951 date "2020-12-17" @default.
• W3113016951 modified "2023-10-16" @default.
• W3113016951 title "Multigrid methods for block‐Toeplitz linear systems: convergence analysis and applications" @default.
• W3113016951 cites W1087162733 @default.
• W3113016951 cites W1970334228 @default.
• W3113016951 cites W1975153608 @default.
• W3113016951 cites W1984045033 @default.
• W3113016951 cites W1994973976 @default.
• W3113016951 cites W2015700994 @default.
• W3113016951 cites W2020954443 @default.
• W3113016951 cites W2056645965 @default.
• W3113016951 cites W2057439610 @default.
• W3113016951 cites W2066660517 @default.
• W3113016951 cites W2068535332 @default.
• W3113016951 cites W2085547810 @default.
• W3113016951 cites W2086517326 @default.
• W3113016951 cites W2155713156 @default.
• W3113016951 cites W2170392325 @default.
• W3113016951 cites W2171315210 @default.
• W3113016951 cites W2283904712 @default.
• W3113016951 cites W2498157954 @default.
• W3113016951 cites W2613904156 @default.
• W3113016951 cites W2621397604 @default.
• W3113016951 cites W2789730805 @default.
• W3113016951 cites W4230843528 @default.
• W3113016951 doi "https://doi.org/10.1002/nla.2356" @default.
• W3113016951 hasPublicationYear "2020" @default.
• W3113016951 type Work @default.
• W3113016951 sameAs 3113016951 @default.
• W3113016951 citedByCount "5" @default.
• W3113016951 countsByYear W31130169512022 @default.
• W3113016951 countsByYear W31130169512023 @default.
• W3113016951 crossrefType "journal-article" @default.
• W3113016951 hasAuthorship W3113016951A5009786921 @default.
• W3113016951 hasAuthorship W3113016951A5052976118 @default.
• W3113016951 hasAuthorship W3113016951A5056157710 @default.
• W3113016951 hasAuthorship W3113016951A5079763074 @default.
• W3113016951 hasAuthorship W3113016951A5083413521 @default.
• W3113016951 hasBestOaLocation W31130169511 @default.
• W3113016951 hasConcept C11413529 @default.
• W3113016951 hasConcept C126255220 @default.
• W3113016951 hasConcept C127162648 @default.
• W3113016951 hasConcept C134306372 @default.
• W3113016951 hasConcept C137119250 @default.
• W3113016951 hasConcept C147710293 @default.
• W3113016951 hasConcept C202444582 @default.
• W3113016951 hasConcept C2524010 @default.
• W3113016951 hasConcept C2777210771 @default.
• W3113016951 hasConcept C2777952282 @default.
• W3113016951 hasConcept C28826006 @default.
• W3113016951 hasConcept C31258907 @default.
• W3113016951 hasConcept C33923547 @default.
• W3113016951 hasConcept C41008148 @default.
• W3113016951 hasConcept C57691317 @default.
• W3113016951 hasConcept C57869625 @default.
• W3113016951 hasConcept C6802819 @default.
• W3113016951 hasConcept C93779851 @default.
• W3113016951 hasConceptScore W3113016951C11413529 @default.
• W3113016951 hasConceptScore W3113016951C126255220 @default.
• W3113016951 hasConceptScore W3113016951C127162648 @default.
• W3113016951 hasConceptScore W3113016951C134306372 @default.
• W3113016951 hasConceptScore W3113016951C137119250 @default.
• W3113016951 hasConceptScore W3113016951C147710293 @default.
• W3113016951 hasConceptScore W3113016951C202444582 @default.
• W3113016951 hasConceptScore W3113016951C2524010 @default.
• W3113016951 hasConceptScore W3113016951C2777210771 @default.
• W3113016951 hasConceptScore W3113016951C2777952282 @default.
• W3113016951 hasConceptScore W3113016951C28826006 @default.
• W3113016951 hasConceptScore W3113016951C31258907 @default.
• W3113016951 hasConceptScore W3113016951C33923547 @default.
• W3113016951 hasConceptScore W3113016951C41008148 @default.
• W3113016951 hasConceptScore W3113016951C57691317 @default.
• W3113016951 hasConceptScore W3113016951C57869625 @default.
• W3113016951 hasConceptScore W3113016951C6802819 @default.
• W3113016951 hasConceptScore W3113016951C93779851 @default.
• W3113016951 hasIssue "4" @default.
• W3113016951 hasLocation W31130169511 @default.
• W3113016951 hasLocation W31130169512 @default.
• W3113016951 hasOpenAccess W3113016951 @default.
• W3113016951 hasPrimaryLocation W31130169511 @default.
• W3113016951 hasRelatedWork W2069145618 @default.
• W3113016951 hasRelatedWork W2086517326 @default.
• W3113016951 hasRelatedWork W2130208906 @default.
• W3113016951 hasRelatedWork W2171218546 @default.
• W3113016951 hasRelatedWork W2171315210 @default.
• W3113016951 hasRelatedWork W2357615660 @default.
• W3113016951 hasRelatedWork W2404777691 @default.
• W3113016951 hasRelatedWork W2685992850 @default.
• W3113016951 hasRelatedWork W2748487595 @default.
• W3113016951 hasRelatedWork W3113016951 @default.
• W3113016951 hasVolume "28" @default.
• W3113016951 isParatext "false" @default.
• W3113016951 isRetracted "false" @default.

• next