Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
Tài liệu tham khảo
Akkermann, 2008, The role of continuity in residual-based variational multiscale modeling of turbulence, Comput. Mech., 41, 371, 10.1007/s00466-007-0193-7
Auricchio, 2007, A fully “locking-free” isogeometric approach for plane linear elasticity problems: a stream function formulation, Comput. Methods Appl. Mech. Engrg., 197, 160, 10.1016/j.cma.2007.07.005
Auricchio, 2010, Isogeometric collocation methods, Math. Models Methods Appl. Sci., 20, 2075, 10.1142/S0218202510004878
F. Auricchio, L. Beirão da Veiga, T.J.R. Hughes, A. Reali, G. Sangalli, Isogeometric collocation for elastostatics and explicit dynamics. Comput. Methods Appl. Mech. Engrg., in press. <http://dx.doi.org/10.1016/j.cma.2012.03.026>.
Auricchio, 2010, The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations, Comput. Methods Appl. Mech. Engrg., 199, 314, 10.1016/j.cma.2008.06.004
F. Auricchio, F. Calabrò, T.J.R. Hughes, A. Reali, G. Sangalli, A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis, Comput. Methods Appl. Mech. Engrg., in press. <http://dx.doi.org/10.1016/j.cma.2012.04.014>.
Bazilevs, 2006, stability and error estimates for h-refined meshes, Math. Models Methods Appl. Sci., 16, 1, 10.1142/S0218202506001455
Bazilevs, 2007, Weak Dirichlet boundary conditions for wall-bounded turbulent flows, Comput. Methods Appl. Mech. Engrg., 196, 4853, 10.1016/j.cma.2007.06.026
Bazilevs, 2007, Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows, Comput. Methods Appl. Mech. Engrg., 197, 73, 10.1016/j.cma.2007.07.016
Beirão da Veiga, 2011, Some estimates for h-p-k- refinement in isogeometric analysis, Numer. Math., 118, 271, 10.1007/s00211-010-0338-z
Beirão da Veiga, 2012, An isogeometric method for the Reissner–Mindlin plate bending problem, Comput. Methods Appl. Mech. Engrg., 209–212, 45, 10.1016/j.cma.2011.10.009
Beirão da Veiga, 2012, Anisotropic NURBS approximation in isogeometric analysis, Comput. Meth. Appl. Mech. Engrg., 209–212, 1, 10.1016/j.cma.2011.10.016
Cottrell, 2009
Cottrell, 2006, Isogeometric analysis of structural vibrations, Comput. Meth. Appl. Mech. Engrg., 195, 5257, 10.1016/j.cma.2005.09.027
Cottrell, 2007, Studies of refinement and continuity in isogeometric structural analysis, Comput. Meth. Appl. Mech. Engrg., 196, 4160, 10.1016/j.cma.2007.04.007
de Boor, 2001
de Falco, 2011, GeoPDEs: a research tool for IsoGeometric analysis of PDEs, Adv. Engrg. Softw., 42, 1020, 10.1016/j.advengsoft.2011.06.010
Demko, 1985, On the existence of interpolation projectors onto spline spaces, J. Approximat. Theory, 43, 151, 10.1016/0021-9045(85)90123-6
Hughes, 2005, Isogeometric analysis: CAD finite elements NURBS exact geometry and mesh refinement, Comput. Methods Appl. Mech. Engrg., 194, 4135, 10.1016/j.cma.2004.10.008
Hughes, 2008, Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with k-method NURBS, Comput. Methods Appl. Mech. Engrg., 197, 4104, 10.1016/j.cma.2008.04.006
Hughes, 2010, Efficient quadrature for NURBS- based isogeometric analysis, Comput. Methods Appl. Mech. Engrg., 199, 301, 10.1016/j.cma.2008.12.004
Johnson, 2005, A B-spline collocation method for solving the incompressible Navier–Stokes equations using an ad hoc method: the boundary residual method, Comput. Fluids, 34, 121, 10.1016/j.compfluid.2004.03.005
Reali, 2006, An isogeometric analysis approach for the study of structural vibrations, J. Earthquake Engrg., 10, 1 1
Timoshenko, 1921, On the correction factor for shear of the differential equation for transverse vibrations of bars of uniform cross-section, Phil. Mag., 41, 744, 10.1080/14786442108636264
Zhang, 2007, Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow, Comput. Methods Appl. Mech. Engrg., 196, 2943, 10.1016/j.cma.2007.02.009