MORTARING THE TWO-DIMENSIONAL EDGE FINITE ELEMENTS FOR THE DISCRETIZATION OF SOME ELECTROMAGNETIC MODELS

We describe the mortar element method for the two-dimensional edge finite elements of class H(curl). These finite elements are currently used for the discretization of various models coming from the Maxwell equations and using them in a mortar framework has several interesting applications in the electromagnetic and electrotechnical domains. We develop some technical tools necessary to perform the numerical analysis of this approach. Then, we prove some optimal approximation results and illustrate the theory by some numerical experiences.

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