Mortar element coupling between global scalar and local vector potentials to solve eddy current problems
The T — Ω formulation of the magnetic field has been introduced in many papers for the approximation of the magnetic quantities modeled by the eddy current equations. This decomposition allows us to use a scalar function in the main part of the computational domain, reducing the use of vector quantities in the conducting parts. We propose here to approximate these two quantities on different and non-matching grids so as. e.g., to tackle a problem where the conducting part can move in the global domain. The connection between the two grids is managed with mortar element tools. The numerical analysis is presented, resulting in error bounds for the solution.
KeywordsBilinear Form Interpolation Operator Homogeneous Dirichlet Boundary Condition Harmonic Extension Ellipticity Constant
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