The hp-version of Finite element method for Electrical Impedance Tomography with EIDORS

Abstract

In this study, focuses on applying the hp-version for forward modeling. The EIT forward solver is normally based on the conventional ï¬nite element method (hFEM). In h-FEM, the polynomial order p of the element shape functions is constant and the element size h, is decreased. To accurately simulate the forward solution with the hFEM, a mesh with large number of nodes and elements is usually needed. To overcome this problem, we proposed the high order finite element method for EIT forward problem. In the p-version, the polynomial order is increased and the mesh size is constant. Combinations of reï¬ne the mesh adaptively and used higher order polynomials are called hp-extensions (hp-FEM). With the high order FEM, a smaller number of nodes and hence less computational time and memory are needed to achieve the same or better accuracy in the forward solution than the hFEM. Numerical results are presented that the performance of the hp-version is better than of the h-version.