Abstract: In order to simplify the process of imposing multiple constraints in Isogeometric analysis(IGA),an IGA collocation method for solving PDEs is established and applied on the eddy current problems.Considering the divergence-free property of the magnetic vector potential,the shape optimization in the future research and the electromagnetic force calculation in the post process,four technologies are used in the analysis process:(1)selecting the Gaussian points as the collocation points,(2)utilizing an equivalent form of the BEM-FEM coupling method to deal with the magnetic boundary conditions,(3)seeing the additional collocation equations as restrictions,and(4)applying the QR-decomposition method to solve the over-constrained matrix equations.Numerical results show that the presented IGA collocation method is available to solve the PDEs under over-constraints.