Numerical investigation of a boundary penalization method for Maxwell equations

Martin Costabel, Monique Dauge, Daniel Martin

It is well known that, in the presence of non-convex corners or edges on the boundary, nodal finite elements associated with a conformal curl-div formulation do not converge to the correct limit when the electric or magnetic boundary conditions are also imposed in the discrete space. We formulate and investigate in a simple two-dimensional situation a method where the boundary conditions are not imposed in the discrete space but obtained by a penalization method, which amounts to a sort of impedance condition.

Enumath'99 Proceedings (Oct. 99).

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