Local refinement of analysis-suitable T-splines
We develop a local refinement algorithm for analysis-suitable T-splines which does not produce excessive propagation of control points. We then demonstrate its use as an adaptive framework for isogeometric analysis. Analysis-suitable T-splines are a class of T-splines which are linearly independent...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering Jg. 213-216; S. 206 - 222 |
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| Hauptverfasser: | , , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Kidlington
Elsevier B.V
01.03.2012
Elsevier |
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| ISSN: | 0045-7825, 1879-2138 |
| Online-Zugang: | Volltext |
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| Abstract | We develop a local refinement algorithm for analysis-suitable T-splines which does not produce excessive propagation of control points. We then demonstrate its use as an adaptive framework for isogeometric analysis. Analysis-suitable T-splines are a class of T-splines which are linearly independent and form a partition of unity. These properties, coupled with local refinement, make this class of T-splines appealing as a basis for isogeometric analysis. |
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| AbstractList | We develop a local refinement algorithm for analysis-suitable T-splines which does not produce excessive propagation of control points. We then demonstrate its use as an adaptive framework for isogeometric analysis. Analysis-suitable T-splines are a class of T-splines which are linearly independent and form a partition of unity. These properties, coupled with local refinement, make this class of T-splines appealing as a basis for isogeometric analysis. |
| Author | Sederberg, T.W. Hughes, T.J.R. Li, X. Scott, M.A. |
| Author_xml | – sequence: 1 givenname: M.A. surname: Scott fullname: Scott, M.A. email: mscott@ices.utexas.edu organization: Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA – sequence: 2 givenname: X. surname: Li fullname: Li, X. organization: University of Science and Technology of China, Anhui Province, Hefei 230026, PR China – sequence: 3 givenname: T.W. surname: Sederberg fullname: Sederberg, T.W. organization: Department of Computer Science, Brigham Young University, Provo, UT 84602, USA – sequence: 4 givenname: T.J.R. surname: Hughes fullname: Hughes, T.J.R. organization: Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=25642940$$DView record in Pascal Francis |
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| Cites_doi | 10.1016/j.cma.2009.05.004 10.1002/nme.2864 10.1016/j.cma.2009.02.036 10.1002/nme.3061 10.1016/j.cma.2008.01.025 10.1016/j.cma.2007.07.016 10.1016/j.jcp.2010.01.008 10.1016/j.cagd.2008.09.008 10.1016/j.cma.2010.02.010 10.1002/nme.3150 10.1016/j.cma.2009.09.010 10.1016/j.cma.2007.04.007 10.1016/j.cma.2008.05.003 10.1007/s00466-008-0315-x 10.1016/j.cma.2009.01.021 10.1016/j.cma.2009.01.022 10.1016/j.cma.2007.07.005 10.1007/s00466-007-0193-7 10.1016/j.cagd.2010.07.004 10.1145/378456.378512 10.1016/j.cma.2010.03.005 10.1016/j.cma.2009.04.015 10.1002/nme.2968 10.5957/CPBS-2010-014 10.1007/s00466-011-0598-1 10.1016/j.cma.2005.09.027 10.1016/j.cma.2008.06.004 10.1016/j.cagd.2011.08.005 10.1016/j.cma.2009.05.011 10.1016/j.cma.2009.02.035 10.1016/j.cma.2008.11.020 10.1016/j.cma.2011.02.005 10.1145/882262.882295 10.1016/j.cma.2004.10.008 10.1016/j.cma.2009.12.002 10.1016/j.cma.2009.02.029 10.1145/1360612.1360678 10.1016/j.cma.2007.02.009 10.1016/j.cma.2008.01.012 10.1002/nme.3167 10.1016/S0167-8396(03)00096-7 10.1016/j.cma.2009.12.010 10.1145/1015706.1015715 10.1016/j.cma.2009.12.004 10.1007/s00466-006-0084-3 10.1007/978-3-642-03596-8_2 10.1016/j.cma.2009.04.003 10.1016/j.cma.2010.03.029 10.1016/j.cma.2010.05.012 |
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| Keywords | Isogeometric analysis T-splines Bézier extraction Local refinement Refinement method Refinement Adaptive method Spline approximation Numerical approximation Finite element method Computational geometry Non uniform rational B spline Extraction Algorithm analysis Computer aided design Control point |
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| References | Bazilevs, Calo, Cottrell, Evans, Hughes, Lipton, Scott, Sederberg (b0215) 2010; 199 Sederberg, Zheng, Bakenov, Nasri (b0190) 2003; 22 Qian (b0130) 2010; 199 Sederberg, Finnigan, Li, Lin (b0195) 2008; 27 Bazilevs, Calo, Zhang, Hughes (b0045) 2006; 38 Li, Zheng, Sederberg, Hughes, Scott (b0250) 2012; 29 Akkerman, Bazilevs, Calo, Hughes, Hulshoff (b0025) 2008; 41 M.J. Borden, M.A. Scott, C.V. Verhoosel, C.M. Landis, T.J.R. Hughes, Phase-field modeling of dynamic fracture using isogeometric analysis, Comput. Methods Appl. Mech. Engrg., submitted for Publication. C.V. Verhoosel, M.A. Scott, R. de Borst, T.J.R. Hughes, An isogeometric approach to cohesive zone modeling, Int. J. Numer. Methods Engrg., in press Wang, Zhang (b0180) 2010; 199 Bazilevs, Akkerman (b0035) 2010; 229 Evans, Bazilevs, Babuška, Hughes (b0020) 2009; 198 Nagy, Abdalla, Gurdal (b0140) 2010; 199 Cohen, Martin, Kirby, Lyche, Riesenfeld (b0150) 2010; 199 M. Aigner, C. Heinrich, B. Juettler, E. Pilgerstorfer, B. Simeon, A.V. Vuong, Swept volume parameterization for isogeometric analysis, in: E.R. Hancock, R.R. Martin, M.A. Sabin (Eds.), Mathematics of Surfaces XIII, Lecture Notes in Computer Science, vol. 5654, 2009, pp. 19–44. X. Li, J. Zheng, T.W. Sederberg, On T-spline classification, in preparation. Kim, Seo, Youn (b0160) 2009; 198 T-Splines, Inc., 2011. Cottrell, Hughes, Reali (b0080) 2007; 196 Wang, Zhang, Scott, Hughes (b0185) 2011; 48 Bazilevs, Gohean, Hughes, Moser, Zhang (b0060) 2009; 198 Bazilevs, Michler, Calo, Hughes (b0040) 2010; 199 Gomez, Hughes, Nogueira, Calo (b0115) 2010; 199 Sederberg, Zheng, Song (b0265) 2003; 20 Martin, Cohen, Kirby (b0175) 2009; 26 Borden, Scott, Evans, Hughes (b0230) 2011; 87 . H. Ipson, T-spline merging, Master’s thesis, Brigham Young University (April 2005). Costantini, Manni, Pelosi, Sampoli (b0165) 2010; 27 Verhoosel, Scott, Hughes, de Borst (b0245) 2011; 86 Bazilevs, Calo, Hughes, Zhang (b0050) 2008; 43 Benson, Bazilevs, De Luycker, Hsu, Scott, Hughes, Belytschko (b0095) 2010; 83 Nagy, Abdalla, Gurdal (b0135) 2010; 199 Zhang, Bazilevs, Goswami, Bajaj, Hughes (b0055) 2007; 196 G.T. Finnigan, Arbitrary degree T-splines, Master’s thesis, Brigham Young University (August 2008). Cottrell, Hughes, Bazilevs (b0010) 2009 Scott, Borden, Verhoosel, Sederberg, Hughes (b0235) 2011; 88 Benson, Bazilevs, Hsu, Hughes (b0090) 2011; 200 Kiendl, Bazilevs, Hsu, Wuechner, Bletzinger (b0105) 2010; 199 Elguedj, Bazilevs, Calo, Hughes (b0075) 2008; 197 Sederberg, Cardon, Finnigan, North, Zheng, Lyche (b0205) 2004; 23 Auricchio, da Veiga, Buffa, Lovadina, Reali, Sangalli (b0070) 2007; 197 Bazilevs, Calo, Cottrell, Hughes, Reali, Scovazzi (b0030) 2007; 197 X. Li, M.A. Scott, On the nesting theory of T-splines, in preparation. Lipton, Evans, Bazilevs, Elguedj, Hughes (b0120) 2010; 199 Hughes (b0270) 2000 Auricchio, da Veiga, Lovadina, Reali (b0065) 2010; 199 Gomez, Calo, Bazilevs, Hughes (b0110) 2008; 197 Benson, Bazilevs, Hsu, Hughes (b0085) 2010; 199 Beirão da Veiga, Buffa, Cho, Sangalli (b0225) 2011; 200 Buffa, Cho, Sangalli (b0275) 2010; 199 Forsey, Bartels (b0210) 1988; 22 Lu (b0155) 2009; 198 Cottrell, Reali, Bazilevs, Hughes (b0015) 2006; 195 Echter, Bischoff (b0100) 2010; 199 Wall, Frenzel, Cyron (b0125) 2008; 197 Dörfel, Jüttler, Simeon (b0220) 2009; 199 M.T. Sederberg, T.W. Sederberg, T-splines: A technology for marine design with minimal control points, 2010. Hughes, Cottrell, Bazilevs (b0005) 2005; 194 Buffa, Sangalli, Vazquez (b0145) 2010; 199 Bazilevs (10.1016/j.cma.2011.11.022_b0030) 2007; 197 Evans (10.1016/j.cma.2011.11.022_b0020) 2009; 198 Martin (10.1016/j.cma.2011.11.022_b0175) 2009; 26 Kiendl (10.1016/j.cma.2011.11.022_b0105) 2010; 199 Sederberg (10.1016/j.cma.2011.11.022_b0190) 2003; 22 Wang (10.1016/j.cma.2011.11.022_b0185) 2011; 48 Bazilevs (10.1016/j.cma.2011.11.022_b0040) 2010; 199 Hughes (10.1016/j.cma.2011.11.022_b0005) 2005; 194 Benson (10.1016/j.cma.2011.11.022_b0095) 2010; 83 Cottrell (10.1016/j.cma.2011.11.022_b0080) 2007; 196 10.1016/j.cma.2011.11.022_b0240 Li (10.1016/j.cma.2011.11.022_b0250) 2012; 29 10.1016/j.cma.2011.11.022_b0285 Lipton (10.1016/j.cma.2011.11.022_b0120) 2010; 199 10.1016/j.cma.2011.11.022_b0280 Hughes (10.1016/j.cma.2011.11.022_b0270) 2000 Cohen (10.1016/j.cma.2011.11.022_b0150) 2010; 199 Kim (10.1016/j.cma.2011.11.022_b0160) 2009; 198 Echter (10.1016/j.cma.2011.11.022_b0100) 2010; 199 Benson (10.1016/j.cma.2011.11.022_b0090) 2011; 200 Scott (10.1016/j.cma.2011.11.022_b0235) 2011; 88 Akkerman (10.1016/j.cma.2011.11.022_b0025) 2008; 41 Auricchio (10.1016/j.cma.2011.11.022_b0065) 2010; 199 Lu (10.1016/j.cma.2011.11.022_b0155) 2009; 198 Costantini (10.1016/j.cma.2011.11.022_b0165) 2010; 27 Beirão da Veiga (10.1016/j.cma.2011.11.022_b0225) 2011; 200 Bazilevs (10.1016/j.cma.2011.11.022_b0035) 2010; 229 Bazilevs (10.1016/j.cma.2011.11.022_b0050) 2008; 43 10.1016/j.cma.2011.11.022_b0290 10.1016/j.cma.2011.11.022_b0295 Benson (10.1016/j.cma.2011.11.022_b0085) 2010; 199 Sederberg (10.1016/j.cma.2011.11.022_b0205) 2004; 23 Gomez (10.1016/j.cma.2011.11.022_b0115) 2010; 199 Forsey (10.1016/j.cma.2011.11.022_b0210) 1988; 22 10.1016/j.cma.2011.11.022_b0170 Zhang (10.1016/j.cma.2011.11.022_b0055) 2007; 196 Auricchio (10.1016/j.cma.2011.11.022_b0070) 2007; 197 Wang (10.1016/j.cma.2011.11.022_b0180) 2010; 199 Sederberg (10.1016/j.cma.2011.11.022_b0265) 2003; 20 Nagy (10.1016/j.cma.2011.11.022_b0140) 2010; 199 10.1016/j.cma.2011.11.022_b0200 Gomez (10.1016/j.cma.2011.11.022_b0110) 2008; 197 Bazilevs (10.1016/j.cma.2011.11.022_b0215) 2010; 199 Cottrell (10.1016/j.cma.2011.11.022_b0015) 2006; 195 Sederberg (10.1016/j.cma.2011.11.022_b0195) 2008; 27 Wall (10.1016/j.cma.2011.11.022_b0125) 2008; 197 Nagy (10.1016/j.cma.2011.11.022_b0135) 2010; 199 Buffa (10.1016/j.cma.2011.11.022_b0145) 2010; 199 10.1016/j.cma.2011.11.022_b0260 Bazilevs (10.1016/j.cma.2011.11.022_b0045) 2006; 38 Elguedj (10.1016/j.cma.2011.11.022_b0075) 2008; 197 Cottrell (10.1016/j.cma.2011.11.022_b0010) 2009 Bazilevs (10.1016/j.cma.2011.11.022_b0060) 2009; 198 10.1016/j.cma.2011.11.022_b0255 Qian (10.1016/j.cma.2011.11.022_b0130) 2010; 199 Borden (10.1016/j.cma.2011.11.022_b0230) 2011; 87 Buffa (10.1016/j.cma.2011.11.022_b0275) 2010; 199 Dörfel (10.1016/j.cma.2011.11.022_b0220) 2009; 199 Verhoosel (10.1016/j.cma.2011.11.022_b0245) 2011; 86 |
| References_xml | – volume: 197 start-page: 2732 year: 2008 end-page: 2762 ident: b0075 article-title: and publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 1216 year: 2010 end-page: 1230 ident: b0135 article-title: Isogeometric sizing and shape optimization of beam structures publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 2059 year: 2010 end-page: 2071 ident: b0130 article-title: Full analytical sensitivities in NURBS based isogeometric shape optimization publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 1828 year: 2010 end-page: 1840 ident: b0115 article-title: Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 229 start-page: 3402 year: 2010 end-page: 3414 ident: b0035 article-title: Large eddy simulation of turbulent Taylor–Couette flow using isogeometric analysis and residual-based variational multiscale method publication-title: J. Comput. Phys. – volume: 88 start-page: 126 year: 2011 end-page: 156 ident: b0235 article-title: Isogeometric finite element data structures based on Bézier Extraction of T-splines publication-title: Int. J. Numer. Methods Engrg. – reference: X. Li, J. Zheng, T.W. Sederberg, On T-spline classification, in preparation. – volume: 87 start-page: 15 year: 2011 end-page: 47 ident: b0230 article-title: Isogeometric finite element data structures based on Bézier extraction of NURBS publication-title: Int. J. Numer. Methods Engrg. – year: 2000 ident: b0270 article-title: The Finite Element Method: Linear Static and Dynamic Finite Element Analysis – volume: 22 start-page: 205 year: 1988 end-page: 212 ident: b0210 article-title: Hierarchical B-spline refinement publication-title: ACM SIGGRAPH Comput. Graph. – volume: 29 start-page: 63 year: 2012 end-page: 76 ident: b0250 article-title: On linear independence of T-spline blending functions publication-title: Comput. Aid. Geometric Des. – volume: 86 start-page: 115 year: 2011 end-page: 134 ident: b0245 article-title: An isogeometric analysis approach to gradient damage models publication-title: Int. J. Numer. Methods Engrg. – volume: 197 start-page: 2976 year: 2008 end-page: 2988 ident: b0125 article-title: Isogeometric structural shape optimization publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 276 year: 2010 end-page: 289 ident: b0085 article-title: Isogeometric shell analysis: The Reissner–Mindlin shell publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 194 start-page: 4135 year: 2005 end-page: 4195 ident: b0005 article-title: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry, and mesh refinement publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 200 start-page: 1367 year: 2011 end-page: 1378 ident: b0090 article-title: A large deformation, rotation-free, isogeometric shell publication-title: Int. J. Numer. Methods Eng. – volume: 199 start-page: 290 year: 2010 end-page: 300 ident: b0180 article-title: Wavelets-based NURBS simplification and fairing publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 26 start-page: 648 year: 2009 end-page: 664 ident: b0175 article-title: Volumetric parameterization and trivariate B-spline fitting using harmonic functions publication-title: Comput. Aid. Geometric Des. – volume: 22 start-page: 477 year: 2003 end-page: 484 ident: b0190 article-title: T-splines and T-NURCCs publication-title: ACM Trans. Graph. – volume: 196 start-page: 2943 year: 2007 end-page: 2959 ident: b0055 article-title: Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 23 start-page: 276 year: 2004 end-page: 283 ident: b0205 article-title: T-spline simplification and local refinement publication-title: ACM Trans. Graph. – volume: 199 start-page: 334 year: 2010 end-page: 356 ident: b0150 article-title: Analysis-aware modeling: Understanding quality considerations in modeling for isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. – reference: X. Li, M.A. Scott, On the nesting theory of T-splines, in preparation. – volume: 198 start-page: 1726 year: 2009 end-page: 1741 ident: b0020 article-title: -Widths, sup-infs, and optimality ratios for the publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 83 start-page: 765 year: 2010 end-page: 785 ident: b0095 article-title: A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM publication-title: Int. J. Numer. Methods Engrg. – volume: 198 start-page: 2391 year: 2009 end-page: 2402 ident: b0155 article-title: Circular element: Isogeometric elements of smooth boundary publication-title: Comput. Methods Appl. Mech. Engrg. – reference: M.T. Sederberg, T.W. Sederberg, T-splines: A technology for marine design with minimal control points, 2010. – year: 2009 ident: b0010 article-title: Isogeometric Analysis: Toward Integration of CAD and FEA – volume: 20 start-page: 455 year: 2003 end-page: 468 ident: b0265 article-title: Knot intervals and multi-degree splines publication-title: Comput. Aid. Geometric Des. – volume: 199 start-page: 1437 year: 2010 end-page: 1445 ident: b0275 article-title: Linear independence of the T-spline blending functions associated with some particular T-meshes publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 195 start-page: 5257 year: 2006 end-page: 5296 ident: b0015 article-title: Isogeometric analysis of structural vibrations publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 196 start-page: 4160 year: 2007 end-page: 4183 ident: b0080 article-title: Studies of refinement and continuity in isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 197 start-page: 4333 year: 2008 end-page: 4352 ident: b0110 article-title: Isogeometric analysis of the Cahn–Hilliard phase-field model publication-title: Comput. Methods Appl. Mech. Engrg. – reference: G.T. Finnigan, Arbitrary degree T-splines, Master’s thesis, Brigham Young University (August 2008). – reference: T-Splines, Inc., 2011. – volume: 199 start-page: 264 year: 2009 end-page: 275 ident: b0220 article-title: Adaptive isogeometric analysis by local h-refinement with T-splines publication-title: Comput. Methods Appl. Mech. Engrg. – reference: M. Aigner, C. Heinrich, B. Juettler, E. Pilgerstorfer, B. Simeon, A.V. Vuong, Swept volume parameterization for isogeometric analysis, in: E.R. Hancock, R.R. Martin, M.A. Sabin (Eds.), Mathematics of Surfaces XIII, Lecture Notes in Computer Science, vol. 5654, 2009, pp. 19–44. – volume: 48 start-page: 477 year: 2011 end-page: 498 ident: b0185 article-title: Converting an unstructured quadrilateral mesh to a standard T-spline surface publication-title: Comput. Mech. – volume: 27 start-page: 656 year: 2010 end-page: 668 ident: b0165 article-title: Quasi-interpolation in isogeometric analysis based on generalized B-splines publication-title: Comput. Aid. Geometric Des. – reference: M.J. Borden, M.A. Scott, C.V. Verhoosel, C.M. Landis, T.J.R. Hughes, Phase-field modeling of dynamic fracture using isogeometric analysis, Comput. Methods Appl. Mech. Engrg., submitted for Publication. – volume: 197 start-page: 160 year: 2007 end-page: 172 ident: b0070 article-title: A fully “locking-free” isogeometric approach for plane linear elasticity problems: A stream function formulation publication-title: Comput. Methods Appl. Mech. Engrg. – reference: C.V. Verhoosel, M.A. Scott, R. de Borst, T.J.R. Hughes, An isogeometric approach to cohesive zone modeling, Int. J. Numer. Methods Engrg., in press, – volume: 199 start-page: 229 year: 2010 end-page: 263 ident: b0215 article-title: Isogeometric analysis using T-splines publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 374 year: 2010 end-page: 382 ident: b0100 article-title: Numerical efficiency, locking and unlocking of NURBS finite elements publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 1143 year: 2010 end-page: 1152 ident: b0145 article-title: Isogeometric analysis in electromagnetics: B-splines approximation publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 197 start-page: 173 year: 2007 end-page: 201 ident: b0030 article-title: Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 780 year: 2010 end-page: 790 ident: b0040 article-title: Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 43 start-page: 3 year: 2008 end-page: 37 ident: b0050 article-title: Isogeometric fluid–structure interaction: Theory, algorithms, and computations publication-title: Comput. Mech. – volume: 199 start-page: 2403 year: 2010 end-page: 2416 ident: b0105 article-title: The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 314 year: 2010 end-page: 323 ident: b0065 article-title: The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: Mixed FEMs versus NURBS-based approximations publication-title: Comput. Methods Appl. Mech. Engrg. – reference: . – volume: 41 start-page: 371 year: 2008 end-page: 378 ident: b0025 article-title: The role of continuity in residual-based variational multiscale modeling of turbulence publication-title: Comput. Mech. – volume: 198 start-page: 3534 year: 2009 end-page: 3550 ident: b0060 article-title: Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 27 start-page: 1 year: 2008 end-page: 79 ident: b0195 article-title: Watertight trimmed NURBS publication-title: ACM Trans. Graph. – volume: 38 start-page: 310 year: 2006 end-page: 322 ident: b0045 article-title: Isogeometric fluid-structure interaction analysis with applications to arterial blood flow publication-title: Comput. Mech. – reference: H. Ipson, T-spline merging, Master’s thesis, Brigham Young University (April 2005). – volume: 199 start-page: 2687 year: 2010 end-page: 2696 ident: b0140 article-title: On the variational formulation of stress constraints in isogeometric design publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 357 year: 2010 end-page: 373 ident: b0120 article-title: Robustness of isogeometric structural discretizations under severe mesh distortion publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 198 start-page: 2982 year: 2009 end-page: 2995 ident: b0160 article-title: Isogeometric analysis for trimmed CAD surfaces publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 200 start-page: 1787 year: 2011 end-page: 1803 ident: b0225 article-title: Isogeometric analysis using T-splines on two-patch geometries publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 198 start-page: 2982 issue: 37–40 year: 2009 ident: 10.1016/j.cma.2011.11.022_b0160 article-title: Isogeometric analysis for trimmed CAD surfaces publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.05.004 – volume: 83 start-page: 765 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0095 article-title: A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM publication-title: Int. J. Numer. Methods Engrg. doi: 10.1002/nme.2864 – volume: 199 start-page: 229 issue: 5-8 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0215 article-title: Isogeometric analysis using T-splines publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.02.036 – ident: 10.1016/j.cma.2011.11.022_b0285 – ident: 10.1016/j.cma.2011.11.022_b0240 doi: 10.1002/nme.3061 – volume: 197 start-page: 2976 year: 2008 ident: 10.1016/j.cma.2011.11.022_b0125 article-title: Isogeometric structural shape optimization publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2008.01.025 – volume: 197 start-page: 173 year: 2007 ident: 10.1016/j.cma.2011.11.022_b0030 article-title: Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2007.07.016 – ident: 10.1016/j.cma.2011.11.022_b0200 – volume: 229 start-page: 3402 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0035 article-title: Large eddy simulation of turbulent Taylor–Couette flow using isogeometric analysis and residual-based variational multiscale method publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2010.01.008 – volume: 26 start-page: 648 issue: 6 year: 2009 ident: 10.1016/j.cma.2011.11.022_b0175 article-title: Volumetric parameterization and trivariate B-spline fitting using harmonic functions publication-title: Comput. Aid. Geometric Des. doi: 10.1016/j.cagd.2008.09.008 – ident: 10.1016/j.cma.2011.11.022_b0290 – volume: 199 start-page: 1828 issue: 25-28 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0115 article-title: Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.02.010 – volume: 86 start-page: 115 year: 2011 ident: 10.1016/j.cma.2011.11.022_b0245 article-title: An isogeometric analysis approach to gradient damage models publication-title: Int. J. Numer. Methods Engrg. doi: 10.1002/nme.3150 – volume: 199 start-page: 334 issue: 5–8 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0150 article-title: Analysis-aware modeling: Understanding quality considerations in modeling for isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.09.010 – volume: 196 start-page: 4160 year: 2007 ident: 10.1016/j.cma.2011.11.022_b0080 article-title: Studies of refinement and continuity in isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2007.04.007 – ident: 10.1016/j.cma.2011.11.022_b0280 – volume: 199 start-page: 264 issue: 5–8 year: 2009 ident: 10.1016/j.cma.2011.11.022_b0220 article-title: Adaptive isogeometric analysis by local h-refinement with T-splines publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 197 start-page: 4333 year: 2008 ident: 10.1016/j.cma.2011.11.022_b0110 article-title: Isogeometric analysis of the Cahn–Hilliard phase-field model publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2008.05.003 – volume: 43 start-page: 3 year: 2008 ident: 10.1016/j.cma.2011.11.022_b0050 article-title: Isogeometric fluid–structure interaction: Theory, algorithms, and computations publication-title: Comput. Mech. doi: 10.1007/s00466-008-0315-x – volume: 198 start-page: 1726 issue: 21–26 year: 2009 ident: 10.1016/j.cma.2011.11.022_b0020 article-title: n-Widths, sup-infs, and optimality ratios for the k-version of the isogeometric finite element method publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.01.021 – volume: 199 start-page: 357 issue: 5–8 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0120 article-title: Robustness of isogeometric structural discretizations under severe mesh distortion publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.01.022 – volume: 197 start-page: 160 year: 2007 ident: 10.1016/j.cma.2011.11.022_b0070 article-title: A fully “locking-free” isogeometric approach for plane linear elasticity problems: A stream function formulation publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2007.07.005 – volume: 41 start-page: 371 year: 2008 ident: 10.1016/j.cma.2011.11.022_b0025 article-title: The role of continuity in residual-based variational multiscale modeling of turbulence publication-title: Comput. Mech. doi: 10.1007/s00466-007-0193-7 – volume: 27 start-page: 656 issue: 8 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0165 article-title: Quasi-interpolation in isogeometric analysis based on generalized B-splines publication-title: Comput. Aid. Geometric Des. doi: 10.1016/j.cagd.2010.07.004 – year: 2000 ident: 10.1016/j.cma.2011.11.022_b0270 – volume: 200 start-page: 1367 year: 2011 ident: 10.1016/j.cma.2011.11.022_b0090 article-title: A large deformation, rotation-free, isogeometric shell publication-title: Int. J. Numer. Methods Eng. – volume: 22 start-page: 205 issue: 4 year: 1988 ident: 10.1016/j.cma.2011.11.022_b0210 article-title: Hierarchical B-spline refinement publication-title: ACM SIGGRAPH Comput. Graph. doi: 10.1145/378456.378512 – volume: 199 start-page: 2059 issue: 29–32 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0130 article-title: Full analytical sensitivities in NURBS based isogeometric shape optimization publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.03.005 – volume: 198 start-page: 3534 issue: 45–46 year: 2009 ident: 10.1016/j.cma.2011.11.022_b0060 article-title: Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.04.015 – volume: 87 start-page: 15 year: 2011 ident: 10.1016/j.cma.2011.11.022_b0230 article-title: Isogeometric finite element data structures based on Bézier extraction of NURBS publication-title: Int. J. Numer. Methods Engrg. doi: 10.1002/nme.2968 – ident: 10.1016/j.cma.2011.11.022_b0295 doi: 10.5957/CPBS-2010-014 – ident: 10.1016/j.cma.2011.11.022_b0260 – volume: 48 start-page: 477 year: 2011 ident: 10.1016/j.cma.2011.11.022_b0185 article-title: Converting an unstructured quadrilateral mesh to a standard T-spline surface publication-title: Comput. Mech. doi: 10.1007/s00466-011-0598-1 – volume: 195 start-page: 5257 year: 2006 ident: 10.1016/j.cma.2011.11.022_b0015 article-title: Isogeometric analysis of structural vibrations publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2005.09.027 – volume: 199 start-page: 314 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0065 article-title: The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: Mixed FEMs versus NURBS-based approximations publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2008.06.004 – volume: 29 start-page: 63 year: 2012 ident: 10.1016/j.cma.2011.11.022_b0250 article-title: On linear independence of T-spline blending functions publication-title: Comput. Aid. Geometric Des. doi: 10.1016/j.cagd.2011.08.005 – volume: 199 start-page: 276 issue: 5–8 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0085 article-title: Isogeometric shell analysis: The Reissner–Mindlin shell publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.05.011 – volume: 199 start-page: 374 issue: 5-8 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0100 article-title: Numerical efficiency, locking and unlocking of NURBS finite elements publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.02.035 – volume: 199 start-page: 780 issue: 13-16 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0040 article-title: Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2008.11.020 – volume: 200 start-page: 1787 issue: 21–22 year: 2011 ident: 10.1016/j.cma.2011.11.022_b0225 article-title: Isogeometric analysis using T-splines on two-patch geometries publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.02.005 – volume: 22 start-page: 477 year: 2003 ident: 10.1016/j.cma.2011.11.022_b0190 article-title: T-splines and T-NURCCs publication-title: ACM Trans. Graph. doi: 10.1145/882262.882295 – volume: 194 start-page: 4135 year: 2005 ident: 10.1016/j.cma.2011.11.022_b0005 article-title: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry, and mesh refinement publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2004.10.008 – volume: 199 start-page: 1143 issue: 17–20 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0145 article-title: Isogeometric analysis in electromagnetics: B-splines approximation publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.12.002 – volume: 198 start-page: 2391 issue: 30-32 year: 2009 ident: 10.1016/j.cma.2011.11.022_b0155 article-title: Circular element: Isogeometric elements of smooth boundary publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.02.029 – volume: 27 start-page: 1 year: 2008 ident: 10.1016/j.cma.2011.11.022_b0195 article-title: Watertight trimmed NURBS publication-title: ACM Trans. Graph. doi: 10.1145/1360612.1360678 – year: 2009 ident: 10.1016/j.cma.2011.11.022_b0010 – volume: 196 start-page: 2943 year: 2007 ident: 10.1016/j.cma.2011.11.022_b0055 article-title: Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2007.02.009 – volume: 197 start-page: 2732 year: 2008 ident: 10.1016/j.cma.2011.11.022_b0075 article-title: B¯ and F¯ projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2008.01.012 – volume: 88 start-page: 126 year: 2011 ident: 10.1016/j.cma.2011.11.022_b0235 article-title: Isogeometric finite element data structures based on Bézier Extraction of T-splines publication-title: Int. J. Numer. Methods Engrg. doi: 10.1002/nme.3167 – volume: 20 start-page: 455 year: 2003 ident: 10.1016/j.cma.2011.11.022_b0265 article-title: Knot intervals and multi-degree splines publication-title: Comput. Aid. Geometric Des. doi: 10.1016/S0167-8396(03)00096-7 – volume: 199 start-page: 1216 issue: 17–20 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0135 article-title: Isogeometric sizing and shape optimization of beam structures publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.12.010 – volume: 23 start-page: 276 year: 2004 ident: 10.1016/j.cma.2011.11.022_b0205 article-title: T-spline simplification and local refinement publication-title: ACM Trans. Graph. doi: 10.1145/1015706.1015715 – volume: 199 start-page: 1437 issue: 23–24 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0275 article-title: Linear independence of the T-spline blending functions associated with some particular T-meshes publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.12.004 – volume: 38 start-page: 310 year: 2006 ident: 10.1016/j.cma.2011.11.022_b0045 article-title: Isogeometric fluid-structure interaction analysis with applications to arterial blood flow publication-title: Comput. Mech. doi: 10.1007/s00466-006-0084-3 – ident: 10.1016/j.cma.2011.11.022_b0170 doi: 10.1007/978-3-642-03596-8_2 – volume: 199 start-page: 290 issue: 5-8 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0180 article-title: Wavelets-based NURBS simplification and fairing publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.04.003 – ident: 10.1016/j.cma.2011.11.022_b0255 – volume: 199 start-page: 2403 issue: 37-40 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0105 article-title: The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.03.029 – volume: 199 start-page: 2687 issue: 41–44 year: 2010 ident: 10.1016/j.cma.2011.11.022_b0140 article-title: On the variational formulation of stress constraints in isogeometric design publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.05.012 |
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| Snippet | We develop a local refinement algorithm for analysis-suitable T-splines which does not produce excessive propagation of control points. We then demonstrate its... |
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| SubjectTerms | Applied sciences Bézier extraction Computer aided design Computer science; control theory; systems Exact sciences and technology Isogeometric analysis Local refinement Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis. Scientific computation Sciences and techniques of general use Software T-splines |
| Title | Local refinement of analysis-suitable T-splines |
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