Optimal-order isogeometric collocation at Galerkin superconvergent points

Bickley, 1968, Piecewise cubic interpolation and two-point boundary problems, Comput. J., 11, 206, 10.1093/comjnl/11.2.206

Fyfe, 1969, The use of cubic splines in the solution of two-point boundary value problems, Comput. J., 12, 188, 10.1093/comjnl/12.2.188

Houstis, 1988, Convergence of O(h4) cubic spline collocation methods for elliptic partial differential equations, SIAM J. Numer. Anal., 25, 54, 10.1137/0725006

De~Boor, 1973, Collocation at gaussian points, SIAM J. Numer. Anal., 10, 582, 10.1137/0710052

Arnold, 1985, The convergence of spline collocation for strongly elliptic equations on curves, Numer. Math., 47, 317, 10.1007/BF01389582

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

Auricchio, 2013, Locking-free isogeometric collocation methods for spatial Timoshenko rods, Comput. Methods Appl. Mech. Engrg., 263, 113, 10.1016/j.cma.2013.03.009

Auricchio, 2012, Isogeometric collocation for elastostatics and explicit dynamics, Comput. Methods Appl. Mech. Engrg., 249–252, 2, 10.1016/j.cma.2012.03.026

Beirao~da Veiga, 2012, Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods, Comput. Methods Appl. Mech. Engrg., 241, 38, 10.1016/j.cma.2012.05.020

Kiendl, 2015, Isogeometric collocation methods for the reissner–mindlin plate problem, Comput. Methods Appl. Mech. Engrg., 284, 489, 10.1016/j.cma.2014.09.011

Reali, 2015, An isogeometric collocation approach for Bernoulli–Euler beams and Kirchhoff plates, Comput. Methods Appl. Mech. Engrg., 284, 623, 10.1016/j.cma.2014.10.027

De~Lorenzis, 2015, Isogeometric collocation: Neumann boundary conditions and contact, Comput. Methods Appl. Mech. Engrg., 284, 21, 10.1016/j.cma.2014.06.037

Casquero, 2016, Isogeometric collocation using analysis-suitable T-splines of arbitrary degree, Comput. Methods Appl. Mech. Engrg., 301, 164, 10.1016/j.cma.2015.12.014

Matzen, 2013, A point to segment contact formulation for isogeometric, NURBS based finite elements, Comput. Methods Appl. Mech. Engrg., 255, 27, 10.1016/j.cma.2012.11.011

Gomez, 2014, Accurate, efficient, and (iso) geometrically flexible collocation methods for phase-field models, J. Comput. Phys., 262, 153, 10.1016/j.jcp.2013.12.044

Manni, 2015, Isogeometric collocation methods with generalized B-splines, Comput. Math. Appl., 70, 1659, 10.1016/j.camwa.2015.03.027

Gomez, 2016, The variational collocation method, Comput. Methods Appl. Mech. Engrg., 309, 152, 10.1016/j.cma.2016.06.003

Schillinger, 2013, Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations, Comput. Methods Appl. Mech. Engrg., 267, 170, 10.1016/j.cma.2013.07.017

Anitescu, 2015, An isogeometric collocation method using superconvergent points, Comput. Methods Appl. Mech. Engrg., 284, 1073, 10.1016/j.cma.2014.11.038