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Only with 1-D Green function for 1-D elliptic differential operator, we can solve 2-D/3-D general elliptic problems by applying the axial Green function method (AGM). An extension of AGM is proposed to enforce Neumann boundary conditions. This extension is directly available for 2-D problems with straight boundaries parallel to axes on which Neumann boundary conditions are assigned. It is thoroughly...
1D Green functions are applied to efficiently calculate the electrostatic field axisymmetric in 3D. The point of this paper is laid on the computation of the axisymmetric numerical solution which may have derivative discontinuity due to the transmission condition across the interface between different kinds of matter. A combined axial Green function method(AGM) is proposed to accurately solve this...
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