An hP-adaptive finite element method for electromagnetics Part 1: Data structure and constrained approximation

摘要

This is the first of papers describing an implementation of the hp-adaptive, mixed Finite Element (FE) method for the solution of steady-state Maxwell's equations proposed in L. Demkowicz and L. Vardapetyan (Modeling of electromagnetic absoptionjscattering problems using hp-adaptive finite elements, Computer Methods in Applied Mechanics and Engineering, 152, 1998, 103-124). The discretization is defined on a hybrid grid consisting of both triangles and quads and allows for both h- and p-refinements of the mesh. The paper focuses on the data structure and constrained approximation issues and provides a number of illustrative examples.