Matches in SemOpenAlex for { <https://semopenalex.org/work/W3205252823> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W3205252823 endingPage "A396" @default.
- W3205252823 startingPage "A369" @default.
- W3205252823 abstract "In this paper we present an algebraic dimension-oblivious two-level domain decomposition solver for discretizations of elliptic partial differential equations. The proposed parallel domain decomposition solver is based on a space-filling curve partitioning approach that is applicable to any discretization, i.e., it directly operates on the assembled matrix equations. Moreover, it allows for the effective use of arbitrary processor numbers independent of the dimension of the underlying partial differential equation while maintaining its optimal convergence behavior. This is the core property required to attain a combination technique solver with extreme scalability which can utilize exascale parallel systems efficiently. Moreover, this approach provides a basis for the development of a fault-tolerant solver for the numerical treatment of high-dimensional Problems. To achieve the required data redundancy we are therefore concerned with large overlaps of our domain decomposition, which we construct in any dimension via space-filling curves. In this paper, we propose a space-filling curve based domain decompositoin solver and present its convergence properties and scaling behavior. The results of our numerical experiments clearly show that our approach provides optimal convergence and scaling behavior in an arbitrary dimension utilizing arbitrary processor numbers." @default.
- W3205252823 created "2021-10-25" @default.
- W3205252823 creator A5012503738 @default.
- W3205252823 creator A5028074195 @default.
- W3205252823 creator A5079350674 @default.
- W3205252823 date "2023-04-07" @default.
- W3205252823 modified "2023-09-27" @default.
- W3205252823 title "A Dimension-Oblivious Domain Decomposition Method Based on Space-Filling Curves" @default.
- W3205252823 cites W1664600854 @default.
- W3205252823 cites W1780245888 @default.
- W3205252823 cites W1800345484 @default.
- W3205252823 cites W1908054315 @default.
- W3205252823 cites W1974521166 @default.
- W3205252823 cites W1993779177 @default.
- W3205252823 cites W1995078768 @default.
- W3205252823 cites W2000192542 @default.
- W3205252823 cites W2028989647 @default.
- W3205252823 cites W2049664825 @default.
- W3205252823 cites W2062246266 @default.
- W3205252823 cites W2067497474 @default.
- W3205252823 cites W2100668339 @default.
- W3205252823 cites W210390770 @default.
- W3205252823 cites W2339228518 @default.
- W3205252823 cites W2490989163 @default.
- W3205252823 cites W2509362106 @default.
- W3205252823 cites W2951145882 @default.
- W3205252823 cites W4255975175 @default.
- W3205252823 cites W981517633 @default.
- W3205252823 doi "https://doi.org/10.1137/21m1454481" @default.
- W3205252823 hasPublicationYear "2023" @default.
- W3205252823 type Work @default.
- W3205252823 sameAs 3205252823 @default.
- W3205252823 citedByCount "0" @default.
- W3205252823 crossrefType "journal-article" @default.
- W3205252823 hasAuthorship W3205252823A5012503738 @default.
- W3205252823 hasAuthorship W3205252823A5028074195 @default.
- W3205252823 hasAuthorship W3205252823A5079350674 @default.
- W3205252823 hasBestOaLocation W32052528232 @default.
- W3205252823 hasConcept C121332964 @default.
- W3205252823 hasConcept C126255220 @default.
- W3205252823 hasConcept C134306372 @default.
- W3205252823 hasConcept C135628077 @default.
- W3205252823 hasConcept C162324750 @default.
- W3205252823 hasConcept C198880260 @default.
- W3205252823 hasConcept C202444582 @default.
- W3205252823 hasConcept C2524010 @default.
- W3205252823 hasConcept C2777303404 @default.
- W3205252823 hasConcept C2778770139 @default.
- W3205252823 hasConcept C28826006 @default.
- W3205252823 hasConcept C33676613 @default.
- W3205252823 hasConcept C33923547 @default.
- W3205252823 hasConcept C41008148 @default.
- W3205252823 hasConcept C50522688 @default.
- W3205252823 hasConcept C73000952 @default.
- W3205252823 hasConcept C93779851 @default.
- W3205252823 hasConcept C97355855 @default.
- W3205252823 hasConcept C99844830 @default.
- W3205252823 hasConceptScore W3205252823C121332964 @default.
- W3205252823 hasConceptScore W3205252823C126255220 @default.
- W3205252823 hasConceptScore W3205252823C134306372 @default.
- W3205252823 hasConceptScore W3205252823C135628077 @default.
- W3205252823 hasConceptScore W3205252823C162324750 @default.
- W3205252823 hasConceptScore W3205252823C198880260 @default.
- W3205252823 hasConceptScore W3205252823C202444582 @default.
- W3205252823 hasConceptScore W3205252823C2524010 @default.
- W3205252823 hasConceptScore W3205252823C2777303404 @default.
- W3205252823 hasConceptScore W3205252823C2778770139 @default.
- W3205252823 hasConceptScore W3205252823C28826006 @default.
- W3205252823 hasConceptScore W3205252823C33676613 @default.
- W3205252823 hasConceptScore W3205252823C33923547 @default.
- W3205252823 hasConceptScore W3205252823C41008148 @default.
- W3205252823 hasConceptScore W3205252823C50522688 @default.
- W3205252823 hasConceptScore W3205252823C73000952 @default.
- W3205252823 hasConceptScore W3205252823C93779851 @default.
- W3205252823 hasConceptScore W3205252823C97355855 @default.
- W3205252823 hasConceptScore W3205252823C99844830 @default.
- W3205252823 hasIssue "2" @default.
- W3205252823 hasLocation W32052528231 @default.
- W3205252823 hasLocation W32052528232 @default.
- W3205252823 hasOpenAccess W3205252823 @default.
- W3205252823 hasPrimaryLocation W32052528231 @default.
- W3205252823 hasRelatedWork W1490754829 @default.
- W3205252823 hasRelatedWork W1970091858 @default.
- W3205252823 hasRelatedWork W1979666000 @default.
- W3205252823 hasRelatedWork W2094555119 @default.
- W3205252823 hasRelatedWork W2298105499 @default.
- W3205252823 hasRelatedWork W4206220758 @default.
- W3205252823 hasRelatedWork W4236700751 @default.
- W3205252823 hasRelatedWork W4298303811 @default.
- W3205252823 hasRelatedWork W4312692768 @default.
- W3205252823 hasRelatedWork W4379251785 @default.
- W3205252823 hasVolume "45" @default.
- W3205252823 isParatext "false" @default.
- W3205252823 isRetracted "false" @default.
- W3205252823 magId "3205252823" @default.
- W3205252823 workType "article" @default.