Towards a Scalable hp Adaptive Finite Element Code Based on a Nonconformal Domain Decomposition Method

A three-dimensional finite element code based on a nonconformal domain decomposition method (DDM) and support for hp discretizations -meshes combining different h, element size, and p, polynomial order of approximation within the element- is presented. nonconformal DDM formulations and hp-finite element bases are key strands for the implementation of a scalable -in terms of its parallel implementation- strategy of automatic hp-adaptivity. Details about the introduction of these blocks in the code are included. Numerical results illustrating the combination of these two blocks are shown.