Abstract
This paper explains the treatment of gauge of A in connection with the boundary value problem of the Poisson equation of A. It is clarified that the condition derived from the gauge exists with addition to the physical boundary condition. As a result, it is indicated that the boundary value problem of the scalar Poisson equation can be extended to that of the vector Poisson equation. In the formulation using the Ritz method, the Lagrange multiplier method is satisfied by the the boundary value problem of the vector Poisson equation. Thus, this method is adequate in comparison with the penalty method.
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