hp-adaptive finite elements in electromagnetics Original Research Article

A model problem for the steady-state form of Maxwellʹs equations is considered. The problem is formulated in a weak form using a Lagrange multiplier, laying down a foundation for a general class of novel hp-adaptive FE approximations. A convergence proof for curvilinear elements is presented. The proposed method is illustrated and verified by a series of 2D experiments which include elements with curved boundaries and nonhomogeneous media.