Solving Eddy Current Fields with Isoeometric Collocation Method

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.