Goal-oriented hp-adaptivity for elliptic problems Original Research Article

We propose and test a fully automatic, goal-oriented hp-adaptive strategy for elliptic problems. The method combines two techniques: the standard goal-oriented adaptivity based on a simultaneous solution of a dual problem, and a recently proposed hp-strategy based on minimizing the projection-based interpolation error of a reference solution. The proposed strategy is illustrated with two numerical examples: Laplace equation in L-shape domain, and an axisymmetric Maxwell problem involving radiation of a loop antenna wrapped around a metallic cylinder into a conductive medium.