Matches in SemOpenAlex for { <https://semopenalex.org/work/W4387091593> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W4387091593 endingPage "23" @default.
- W4387091593 startingPage "1" @default.
- W4387091593 abstract "AbstractIn the present paper, we consider a class of elliptic partial differential equations with Dirichlet boundary conditions where the operator is the Laplace-Beltrami operator Δ over Ω¯, Ω being an open and bounded submanifold of Rν, ν=2,3. We will take into consideration the classical Pk Finite Elements, in the case of Friedrichs-Keller triangulations, leading to sequences of matrices of increasing size. We are interested in carrying out a spectral analysis of the resulting matrix-sequences. The tools for our derivations are mainly taken from the Toeplitz technology and from the rather new theory of Generalized Locally Toeplitz (GLT) matrix-sequences. The current contribution is only quite an initial step, where a general programme is provided, with partial answers leading to further open questions: indeed the analysis is performed on special flat submanifolds and hence there is room for wide generalizations, with a final picture which is still unclear with respect to, e.g. the role of the submanifold curvature.Keywords: Toeplitz sequencesdiscretization of PDEsspectral distribution of matrix-sequences AcknowledgmentsThe research of all the authors was partly supported by the Italian INdAM-GNCS agency. The work of Stefano Serra-Capizzano was funded from the European High-Performance Computing Joint Undertaking (JU) under grant agreement No. 955701. The JU receives support from the European Union's Horizon 2020 research and innovation programme and Belgium, France, Germany, Switzerland. The third author is grateful for the support of the Laboratory of Theory, Economics and Systems – Department of Computer Science at Athens University of Economics and Business. Finally, a warm thanking to the anonimous referees for their comments and suggestions.Disclosure statementNo potential conflict of interest was reported by the author(s)." @default.
- W4387091593 created "2023-09-28" @default.
- W4387091593 creator A5053268193 @default.
- W4387091593 creator A5063991804 @default.
- W4387091593 creator A5077642111 @default.
- W4387091593 date "2023-09-27" @default.
- W4387091593 modified "2023-09-28" @default.
- W4387091593 title "Generalized Locally Toeplitz matrix-sequences and approximated PDEs on submanifolds: the flat case" @default.
- W4387091593 cites W1087162733 @default.
- W4387091593 cites W1550150926 @default.
- W4387091593 cites W1980058119 @default.
- W4387091593 cites W2018227046 @default.
- W4387091593 cites W2019204386 @default.
- W4387091593 cites W2024389662 @default.
- W4387091593 cites W2041394080 @default.
- W4387091593 cites W2060259097 @default.
- W4387091593 cites W2066750794 @default.
- W4387091593 cites W2084363278 @default.
- W4387091593 cites W2089598668 @default.
- W4387091593 cites W2108406576 @default.
- W4387091593 cites W2903235206 @default.
- W4387091593 cites W2910646959 @default.
- W4387091593 cites W3111329515 @default.
- W4387091593 cites W3201432236 @default.
- W4387091593 cites W4237713727 @default.
- W4387091593 cites W4240388517 @default.
- W4387091593 cites W4243483964 @default.
- W4387091593 cites W4246969022 @default.
- W4387091593 cites W4254758529 @default.
- W4387091593 doi "https://doi.org/10.1080/03081087.2023.2263143" @default.
- W4387091593 hasPublicationYear "2023" @default.
- W4387091593 type Work @default.
- W4387091593 citedByCount "0" @default.
- W4387091593 crossrefType "journal-article" @default.
- W4387091593 hasAuthorship W4387091593A5053268193 @default.
- W4387091593 hasAuthorship W4387091593A5063991804 @default.
- W4387091593 hasAuthorship W4387091593A5077642111 @default.
- W4387091593 hasConcept C104317684 @default.
- W4387091593 hasConcept C106487976 @default.
- W4387091593 hasConcept C134306372 @default.
- W4387091593 hasConcept C136119220 @default.
- W4387091593 hasConcept C147710293 @default.
- W4387091593 hasConcept C151300846 @default.
- W4387091593 hasConcept C158448853 @default.
- W4387091593 hasConcept C159985019 @default.
- W4387091593 hasConcept C17020691 @default.
- W4387091593 hasConcept C185592680 @default.
- W4387091593 hasConcept C192562407 @default.
- W4387091593 hasConcept C202444582 @default.
- W4387091593 hasConcept C33923547 @default.
- W4387091593 hasConcept C34388435 @default.
- W4387091593 hasConcept C55493867 @default.
- W4387091593 hasConcept C62354387 @default.
- W4387091593 hasConcept C86339819 @default.
- W4387091593 hasConceptScore W4387091593C104317684 @default.
- W4387091593 hasConceptScore W4387091593C106487976 @default.
- W4387091593 hasConceptScore W4387091593C134306372 @default.
- W4387091593 hasConceptScore W4387091593C136119220 @default.
- W4387091593 hasConceptScore W4387091593C147710293 @default.
- W4387091593 hasConceptScore W4387091593C151300846 @default.
- W4387091593 hasConceptScore W4387091593C158448853 @default.
- W4387091593 hasConceptScore W4387091593C159985019 @default.
- W4387091593 hasConceptScore W4387091593C17020691 @default.
- W4387091593 hasConceptScore W4387091593C185592680 @default.
- W4387091593 hasConceptScore W4387091593C192562407 @default.
- W4387091593 hasConceptScore W4387091593C202444582 @default.
- W4387091593 hasConceptScore W4387091593C33923547 @default.
- W4387091593 hasConceptScore W4387091593C34388435 @default.
- W4387091593 hasConceptScore W4387091593C55493867 @default.
- W4387091593 hasConceptScore W4387091593C62354387 @default.
- W4387091593 hasConceptScore W4387091593C86339819 @default.
- W4387091593 hasLocation W43870915931 @default.
- W4387091593 hasOpenAccess W4387091593 @default.
- W4387091593 hasPrimaryLocation W43870915931 @default.
- W4387091593 hasRelatedWork W1805456114 @default.
- W4387091593 hasRelatedWork W1947495769 @default.
- W4387091593 hasRelatedWork W2153755505 @default.
- W4387091593 hasRelatedWork W2328758363 @default.
- W4387091593 hasRelatedWork W2508442776 @default.
- W4387091593 hasRelatedWork W2964071186 @default.
- W4387091593 hasRelatedWork W297683736 @default.
- W4387091593 hasRelatedWork W3096410077 @default.
- W4387091593 hasRelatedWork W4249580765 @default.
- W4387091593 hasRelatedWork W4299321076 @default.
- W4387091593 isParatext "false" @default.
- W4387091593 isRetracted "false" @default.
- W4387091593 workType "article" @default.