Nitsche Type Method for Approximating Boundary Conditions in the Static Maxwell Equations

F. Assous and M. Mikhaeli (Israel)


Maxwell equations; Nitsche method; Continuous Finite El ement methods


We propose a new method for handling boundary condi tions in the Maxwell equations. This formulation is derived from a continuous finite element approach, supplemented with a Nitsche type method. Several years ago, the Nitsche method was introduced to impose weakly essential bound ary conditions in the scalar Laplace operator. Then, it has been worked out more generally and transferred to continu ity conditions. We propose here an extension to the vector div − curl problem, especially to the Maxwell equations. Compared with the penalty method, this approach has the advantage to be consistent with the original equations. We formulate the method and report some numerical experi ments.

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