OPTIMAL MESHES AND H-P ADAPTIVITY

This paper concerns theory and implementation of p and h-p adaptive ve rsions of finite element method The different procedures of adaptivity and the optimal mesh concept are discussed end a methodology to obtai n optimal or quasi optimal meshes with hierarchical elements is presen ted The error estimator used and the algorithm implemented are also pr esented. The efficiency is demonstrated in two classical 2D examples. In this examples, we have analysed both cases the regular solution and non regular one, and the meshes obtained during the adaptive processe s are compared.