Matches in SemOpenAlex for { <https://semopenalex.org/work/W2954196145> ?p ?o ?g. }
- W2954196145 endingPage "321" @default.
- W2954196145 startingPage "297" @default.
- W2954196145 abstract "In this work, we develop a specialized quadrature rule Quadrature rule for trimmed domains, where the trimming curve is given implicitly by a real-valued function on the whole domain. We follow an error correction approach: In a first step, we obtain an adaptive Adaptivity subdivision of the domain in such a way that each cell falls in a predefined base case. We then extend the classical approach of linear approximation of the trimming curve by adding an error correction term based on a Taylor expansion of the blending between the linearized implicit trimming curve and the original one. This approach leads to an accurate method which improves the convergence of the quadrature error by one order compared to piecewise linear approximation of the trimming curve. It is at the same time efficient, since essentially the computation of one extra one-dimensional integral on each trimmed cell is required. Finally, the method is easy to implement, since it only involves one additional line integral and refrains from any point inversion or optimization operations. The convergence is analyzed theoretically and numerical experiments confirm that the accuracy is improved without compromising the computational complexity Complexity ." @default.
- W2954196145 created "2019-07-12" @default.
- W2954196145 creator A5003244178 @default.
- W2954196145 creator A5034036851 @default.
- W2954196145 creator A5045854462 @default.
- W2954196145 date "2019-01-01" @default.
- W2954196145 modified "2023-09-25" @default.
- W2954196145 title "First Order Error Correction for Trimmed Quadrature in Isogeometric Analysis" @default.
- W2954196145 cites W1572985915 @default.
- W2954196145 cites W1733539008 @default.
- W2954196145 cites W1957823995 @default.
- W2954196145 cites W2000425991 @default.
- W2954196145 cites W2004183566 @default.
- W2954196145 cites W2042365932 @default.
- W2954196145 cites W2047652785 @default.
- W2954196145 cites W2059860265 @default.
- W2954196145 cites W2060446039 @default.
- W2954196145 cites W2063569542 @default.
- W2954196145 cites W2068085190 @default.
- W2954196145 cites W2081748769 @default.
- W2954196145 cites W2084843176 @default.
- W2954196145 cites W2122379318 @default.
- W2954196145 cites W2145227512 @default.
- W2954196145 cites W2149659501 @default.
- W2954196145 cites W2155328970 @default.
- W2954196145 cites W2173397740 @default.
- W2954196145 cites W2232750778 @default.
- W2954196145 cites W2246232185 @default.
- W2954196145 cites W2582683440 @default.
- W2954196145 cites W2746056686 @default.
- W2954196145 cites W2766943026 @default.
- W2954196145 cites W2791306541 @default.
- W2954196145 cites W2792165553 @default.
- W2954196145 cites W2964048684 @default.
- W2954196145 cites W4205649593 @default.
- W2954196145 doi "https://doi.org/10.1007/978-3-030-14244-5_15" @default.
- W2954196145 hasPublicationYear "2019" @default.
- W2954196145 type Work @default.
- W2954196145 sameAs 2954196145 @default.
- W2954196145 citedByCount "6" @default.
- W2954196145 countsByYear W29541961452019 @default.
- W2954196145 countsByYear W29541961452020 @default.
- W2954196145 countsByYear W29541961452021 @default.
- W2954196145 countsByYear W29541961452022 @default.
- W2954196145 countsByYear W29541961452023 @default.
- W2954196145 crossrefType "book-chapter" @default.
- W2954196145 hasAuthorship W2954196145A5003244178 @default.
- W2954196145 hasAuthorship W2954196145A5034036851 @default.
- W2954196145 hasAuthorship W2954196145A5045854462 @default.
- W2954196145 hasBestOaLocation W29541961452 @default.
- W2954196145 hasConcept C105795698 @default.
- W2954196145 hasConcept C111919701 @default.
- W2954196145 hasConcept C11413529 @default.
- W2954196145 hasConcept C119599485 @default.
- W2954196145 hasConcept C122383733 @default.
- W2954196145 hasConcept C126255220 @default.
- W2954196145 hasConcept C127162648 @default.
- W2954196145 hasConcept C127413603 @default.
- W2954196145 hasConcept C134306372 @default.
- W2954196145 hasConcept C158946198 @default.
- W2954196145 hasConcept C164660894 @default.
- W2954196145 hasConcept C17095337 @default.
- W2954196145 hasConcept C28826006 @default.
- W2954196145 hasConcept C31258907 @default.
- W2954196145 hasConcept C33923547 @default.
- W2954196145 hasConcept C41008148 @default.
- W2954196145 hasConcept C45374587 @default.
- W2954196145 hasConcept C56951928 @default.
- W2954196145 hasConcept C57869625 @default.
- W2954196145 hasConcept C62869609 @default.
- W2954196145 hasConcept C97256817 @default.
- W2954196145 hasConceptScore W2954196145C105795698 @default.
- W2954196145 hasConceptScore W2954196145C111919701 @default.
- W2954196145 hasConceptScore W2954196145C11413529 @default.
- W2954196145 hasConceptScore W2954196145C119599485 @default.
- W2954196145 hasConceptScore W2954196145C122383733 @default.
- W2954196145 hasConceptScore W2954196145C126255220 @default.
- W2954196145 hasConceptScore W2954196145C127162648 @default.
- W2954196145 hasConceptScore W2954196145C127413603 @default.
- W2954196145 hasConceptScore W2954196145C134306372 @default.
- W2954196145 hasConceptScore W2954196145C158946198 @default.
- W2954196145 hasConceptScore W2954196145C164660894 @default.
- W2954196145 hasConceptScore W2954196145C17095337 @default.
- W2954196145 hasConceptScore W2954196145C28826006 @default.
- W2954196145 hasConceptScore W2954196145C31258907 @default.
- W2954196145 hasConceptScore W2954196145C33923547 @default.
- W2954196145 hasConceptScore W2954196145C41008148 @default.
- W2954196145 hasConceptScore W2954196145C45374587 @default.
- W2954196145 hasConceptScore W2954196145C56951928 @default.
- W2954196145 hasConceptScore W2954196145C57869625 @default.
- W2954196145 hasConceptScore W2954196145C62869609 @default.
- W2954196145 hasConceptScore W2954196145C97256817 @default.
- W2954196145 hasLocation W29541961451 @default.
- W2954196145 hasLocation W29541961452 @default.
- W2954196145 hasLocation W29541961453 @default.
- W2954196145 hasOpenAccess W2954196145 @default.
- W2954196145 hasPrimaryLocation W29541961451 @default.
- W2954196145 hasRelatedWork W2012917687 @default.