ISOGEOMETRIC COLLOCATION METHODS 论文
2010Mathematical Models and Methods in Applied Sciences引用 384
Advanced Numerical Analysis TechniquesPolynomial and algebraic computationIterative Methods for Nonlinear Equations
摘要
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.