Abstract
In the gradient coil optimization process, a dense linear system usually needs to be solved. When the mesh discretization method is used, the matrix will be very large, which makes direct methods very inefficient. The solution of the linear system is discussed in this paper for the optimization of gradient coils with the finite element method. Finally, a transversal planar gradient coil is designed and the efficiency of different methods are compared for the solution of the problem. Numerical results showed that the GMRES solver is the most efficient method.
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