ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES, Mathematical Models and Methods in Applied Sciences, vol.16, issue.07, pp.1031-1090, 2006. ,
DOI : 10.1142/S0218202506001455
Smoothing of shapes designed with free-form surfaces, Computer-Aided Design, vol.18, issue.4, pp.224-232, 1986. ,
DOI : 10.1016/0010-4485(86)90134-X
Some estimates for h???p???k-refinement in Isogeometric Analysis, Numerische Mathematik, vol.13, issue.4, pp.271-305, 2011. ,
DOI : 10.1007/s00211-010-0338-z
An isogeometric method for the Reissner???Mindlin plate bending problem, Computer Methods in Applied Mechanics and Engineering, vol.209, issue.212, pp.45-53, 2012. ,
DOI : 10.1016/j.cma.2011.10.009
Anisotropic NURBS approximation in isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, vol.209, issue.212, pp.1-11, 2012. ,
DOI : 10.1016/j.cma.2011.10.016
Mathematical analysis of variational isogeometric methods, Acta Numerica, vol.87, pp.157-287, 2014. ,
DOI : 10.1016/j.cma.2005.09.027
A large deformation, rotation-free, isogeometric shell, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.13-16, pp.200-1367, 2011. ,
DOI : 10.1016/j.cma.2010.12.003
Smooth Bezier surfaces over arbitrary quadrilateral meshes. arXiv preprint, 2014. ,
DOI : 10.1111/1467-8659.00376
Isogeometric mortar methods, Computer Methods in Applied Mechanics and Engineering, vol.284, pp.292-319, 2015. ,
DOI : 10.1016/j.cma.2014.09.012
Adaptively refined multi-patch B-splines with enhanced smoothness, Applied Mathematics and Computation, vol.272, pp.159-172, 2016. ,
DOI : 10.1016/j.amc.2015.06.055
Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision, Computer-Aided Design, vol.34, issue.2, pp.137-148, 2002. ,
DOI : 10.1016/S0010-4485(01)00061-6
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1029.2145
Isogeometric Analysis: Toward Integration of CAD and FEA, 2009. ,
DOI : 10.1002/9780470749081
n-Widths, sup???infs, and optimality ratios for the k-version of the isogeometric finite element method, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.21-26, pp.198-1726, 2009. ,
DOI : 10.1016/j.cma.2009.01.021
Isogeometric analysis of the Cahn???Hilliard phase-field model, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.49-50, pp.4333-4352, 2008. ,
DOI : 10.1016/j.cma.2008.05.003
Isogeometric analysis of the isothermal Navier???Stokes???Korteweg equations, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.25-28, pp.199-1828, 2010. ,
DOI : 10.1016/j.cma.2010.02.010
Matched <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msup><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msup></mml:math>-constructions always yield <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msup></mml:math>-continuous isogeometric elements, Computer Aided Geometric Design, vol.34, pp.67-72, 2015. ,
DOI : 10.1016/j.cagd.2015.02.002
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.39-41, pp.4135-4195, 2005. ,
DOI : 10.1016/j.cma.2004.10.008
Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: Comparison of p-method finite elements with k-method NURBS, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.49-50, pp.4104-4124, 2008. ,
DOI : 10.1016/j.cma.2008.04.006
On isogeometric subdivision methods for PDEs on surfaces, 2015. ,
Isogeometric analysis with geometrically continuous functions on planar multi-patch geometries, Computer Methods in Applied Mechanics and Engineering, vol.316, 2015. ,
DOI : 10.1016/j.cma.2016.06.002
Isogeometric analysis with geometrically continuous functions on two-patch geometries, Computers & Mathematics with Applications, vol.70, issue.7, pp.1518-1538, 2015. ,
DOI : 10.1016/j.camwa.2015.04.004
URL : https://repozitorij.upr.si/Dokument.php?id=7159
Isogeometric shell analysis with Kirchhoff???Love elements, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.49-52, pp.3902-3914, 2009. ,
DOI : 10.1016/j.cma.2009.08.013
URL : http://mediatum.ub.tum.de/doc/1210419/document.pdf
The bending strip method for isogeometric analysis of Kirchhoff???Love shell structures comprised of multiple patches, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.37-40, pp.199-2403, 2010. ,
DOI : 10.1016/j.cma.2010.03.029
IETI ??? Isogeometric Tearing and Interconnecting, Computer Methods in Applied Mechanics and Engineering, vol.247, issue.248, pp.247-248, 2012. ,
DOI : 10.1016/j.cma.2012.08.007
URL : http://doi.org/10.1016/j.cma.2012.08.007
GC1 continuity conditions between adjacent rectangular and triangular B??zier surface patches, Computer-Aided Design, vol.21, issue.4, pp.194-200, 1989. ,
DOI : 10.1016/0010-4485(89)90044-4
A Hermite interpolatory subdivision scheme for C 2 -quintics on the Powell?Sabin 12-split, Comput. Aided Geom. Des, issue.7, pp.31-464, 2014. ,
Construction of C1 surfaces by assembly of quadrilateral patches under arbitrary mesh topology, 2001. ,
Geometrically continuous splines for surfaces of arbitrary topology, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01196996
A Comparative Study of Several Classical, Discrete Differential and Isogeometric Methods for Solving Poisson???s Equation on the Disk, Axioms, vol.3, issue.2, pp.280-299, 2014. ,
DOI : 10.3390/axioms3020280
C1 finite elements on non-tensor-product 2d and 3d manifolds, Applied Mathematics and Computation, vol.272, pp.148-158, 2016. ,
DOI : 10.1016/j.amc.2015.06.103
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4652325
Igatools: An Isogeometric Analysis Library, SIAM Journal on Scientific Computing, vol.37, issue.4, pp.465-496, 2015. ,
DOI : 10.1137/140955252
Fitting smooth parametric surfaces to 3D data, 1990. ,
Smooth mesh interpolation with cubic patches, Computer-Aided Design, vol.22, issue.2, pp.109-120, 1990. ,
DOI : 10.1016/0010-4485(90)90005-W
Smooth interpolation of a mesh of curves, Constructive Approximation, vol.8, issue.4, pp.221-246, 1991. ,
DOI : 10.1007/BF01888155
Geometric Continuity, pp.193-229, 2002. ,
DOI : 10.1016/B978-044451104-1/50009-5
Unstructured spline spaces for isogeometric analysis based on spline manifolds, Computer Aided Geometric Design, vol.47, 2015. ,
DOI : 10.1016/j.cagd.2016.05.004
T-splines as a design-through-analysis technology, 2011. ,
Isogeometric boundary element analysis using unstructured T-splines, Computer Methods in Applied Mechanics and Engineering, vol.254, pp.197-221, 2013. ,
DOI : 10.1016/j.cma.2012.11.001
URL : http://orbilu.uni.lu/handle/10993/11850
Isogeometric spline forests, Computer Methods in Applied Mechanics and Engineering, vol.269, pp.222-264, 2014. ,
DOI : 10.1016/j.cma.2013.10.024
Isogeometric analysis with Powell???Sabin splines for advection???diffusion???reaction problems, Computer Methods in Applied Mechanics and Engineering, vol.221, issue.222, pp.132-148, 2012. ,
DOI : 10.1016/j.cma.2012.02.009
Approximation error estimates and inverse inequalities for B-splines of maximum smoothness, Mathematical Models and Methods in Applied Sciences, vol.26, issue.07, pp.1411-1445, 2016. ,
DOI : 10.1142/S0218202516500342
Derivatives of isogeometric functions on n-dimensional rational patches in R d . In: Recent Trends in Theoretical and Applied Geometry, Comput. Aided Geom. Des, vol.31, pp.7-8, 2014. ,
Bicubic spline spaces over rectangular meshes with arbitrary topologies, 2015. ,
DOI : 10.4208/cicp.oa-2016-0030