We initiate the study of collocation methods for NURBS-based isogeometric analysis. The idea is to connect the superior accuracy and smoothness of NURBS basis functions with the low computational cost of collocation. We develop a one-dimensional theoretical analysis, and perform numerical tests in one, two and three dimensions. The numerical results obtained confirm theoretical results and illustrate the potential of the methodology.
No takes yet. Share an insight, caveat, or question.
Auricchio et al. (2010) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: