FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313334559> ?p ?o ?g. }

• W4313334559 endingPage "115849" @default.
• W4313334559 startingPage "115849" @default.
• W4313334559 abstract "This article extends the subset of analysis-suitable unstructured T-splines (ASUT-splines) that have C1 continuity in irregular regions to allow non-uniform knots at extraordinary points. That is, we remove the preceding restriction that required uniform spoke edge knot spans of ASUT-splines. To achieve this, the degenerate-patch (D-patch) framework, which has been demonstrated to be an effective approach for generating refinable spline spaces over unstructured quadrilateral meshes, is generalized to the non-uniform case. We prove that uniform smoothing matrices are also valid for non-uniform knots. However, we also show that nested refinements of ASUT-splines are not available if using these matrices in the non-uniform case. Therefore, a new idempotent smoothing matrix is introduced to overcome this limitation. The detailed construction of this smoothing matrix is given, which helps to study more kinds of smoothing matrices in the future. Then, the non-uniform D-patch framework is employed for ASUT-splines. We provide a thorough discussion of the differences between the uniform and non-uniform cases. A new refinement strategy for the design space of ASUT-splines is also presented. Numerical experiments show that our extension of ASUT-splines can construct non-uniform parameterization around extraordinary points while maintaining the C1 continuity of the surface and optimal convergence rates for isogeometric analysis of both the Poisson problem and the biharmonic problem. A car hood model with complex shape features is used to demonstrate the ability of the proposed method to design and analyze practical models within a seamlessly integrated framework." @default.
• W4313334559 created "2023-01-06" @default.
• W4313334559 creator A5006765829 @default.
• W4313334559 creator A5015172857 @default.
• W4313334559 creator A5046597133 @default.
• W4313334559 creator A5083919928 @default.
• W4313334559 creator A5090469219 @default.
• W4313334559 date "2023-02-01" @default.
• W4313334559 modified "2023-10-17" @default.
• W4313334559 title "Non-uniform <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e2783 altimg=si414.svg><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> patches around extraordinary points with applications to analysis-suitable unstructured T-splines" @default.
• W4313334559 cites W1186497850 @default.
• W4313334559 cites W1964954804 @default.
• W4313334559 cites W1968167524 @default.
• W4313334559 cites W1973737329 @default.
• W4313334559 cites W1981438662 @default.
• W4313334559 cites W1989151181 @default.
• W4313334559 cites W1998344390 @default.
• W4313334559 cites W2000425991 @default.
• W4313334559 cites W2018292290 @default.
• W4313334559 cites W2032325716 @default.
• W4313334559 cites W2034297781 @default.
• W4313334559 cites W2037832437 @default.
• W4313334559 cites W2047652785 @default.
• W4313334559 cites W2049521930 @default.
• W4313334559 cites W2052077449 @default.
• W4313334559 cites W2058270846 @default.
• W4313334559 cites W2059085479 @default.
• W4313334559 cites W2068085190 @default.
• W4313334559 cites W2077169088 @default.
• W4313334559 cites W2078825534 @default.
• W4313334559 cites W2084843176 @default.
• W4313334559 cites W2085827032 @default.
• W4313334559 cites W2091620062 @default.
• W4313334559 cites W2097698547 @default.
• W4313334559 cites W2108406576 @default.
• W4313334559 cites W2121079062 @default.
• W4313334559 cites W2122275436 @default.
• W4313334559 cites W2131480283 @default.
• W4313334559 cites W2183180043 @default.
• W4313334559 cites W2232750778 @default.
• W4313334559 cites W2295729979 @default.
• W4313334559 cites W2372982109 @default.
• W4313334559 cites W2400467595 @default.
• W4313334559 cites W2477043964 @default.
• W4313334559 cites W2492354357 @default.
• W4313334559 cites W2621368410 @default.
• W4313334559 cites W2622576937 @default.
• W4313334559 cites W2626044421 @default.
• W4313334559 cites W2739622977 @default.
• W4313334559 cites W2767669984 @default.
• W4313334559 cites W2776960619 @default.
• W4313334559 cites W2801406941 @default.
• W4313334559 cites W2936337275 @default.
• W4313334559 cites W2943989647 @default.
• W4313334559 cites W2971271059 @default.
• W4313334559 cites W2985757369 @default.
• W4313334559 cites W2996685078 @default.
• W4313334559 cites W3008870423 @default.
• W4313334559 cites W3020257820 @default.
• W4313334559 cites W3118157599 @default.
• W4313334559 cites W3135587690 @default.
• W4313334559 cites W3141300353 @default.
• W4313334559 cites W4206983922 @default.
• W4313334559 cites W4249019869 @default.
• W4313334559 cites W4291125468 @default.
• W4313334559 cites W848857719 @default.
• W4313334559 cites W3149879361 @default.
• W4313334559 doi "https://doi.org/10.1016/j.cma.2022.115849" @default.
• W4313334559 hasPublicationYear "2023" @default.
• W4313334559 type Work @default.
• W4313334559 citedByCount "1" @default.
• W4313334559 countsByYear W43133345592023 @default.
• W4313334559 crossrefType "journal-article" @default.
• W4313334559 hasAuthorship W4313334559A5006765829 @default.
• W4313334559 hasAuthorship W4313334559A5015172857 @default.
• W4313334559 hasAuthorship W4313334559A5046597133 @default.
• W4313334559 hasAuthorship W4313334559A5083919928 @default.
• W4313334559 hasAuthorship W4313334559A5090469219 @default.
• W4313334559 hasConcept C105795698 @default.
• W4313334559 hasConcept C106487976 @default.
• W4313334559 hasConcept C11413529 @default.
• W4313334559 hasConcept C121332964 @default.
• W4313334559 hasConcept C135628077 @default.
• W4313334559 hasConcept C151756577 @default.
• W4313334559 hasConcept C159985019 @default.
• W4313334559 hasConcept C192562407 @default.
• W4313334559 hasConcept C205203396 @default.
• W4313334559 hasConcept C2780737243 @default.
• W4313334559 hasConcept C28826006 @default.
• W4313334559 hasConcept C31447003 @default.
• W4313334559 hasConcept C33923547 @default.
• W4313334559 hasConcept C3770464 @default.
• W4313334559 hasConcept C41008148 @default.
• W4313334559 hasConcept C78383375 @default.
• W4313334559 hasConcept C97355855 @default.
• W4313334559 hasConceptScore W4313334559C105795698 @default.
• W4313334559 hasConceptScore W4313334559C106487976 @default.
• W4313334559 hasConceptScore W4313334559C11413529 @default.

• next