A comparison of error estimators for adaptive mesh refinement for electromagnetic 2D/3D problems

To obtain a high accuracy solution from the finite element method the mesh should be suitable to the field distribution. Adaptive mesh refinement offers an automatic way to generate meshes fitting the problem. An a posteriori error estimation has a key role in the adaptive mesh refinement, since the accuracy of the solution depends on how effective is it in locating elements with larger local error. In this paper different error estimation techniques for 2D and 3D cases are discussed. A comparison was made between them to show the effectiveness of the estimators.