An essential structure finite element (ESFE) algorithm and its application to MT 1D forward modeling of continuous medium
基本结构有限元算法及大地电磁测深一维连续介质正演

In this paper, a new algorithm named Essential Structure Finite Element (ESFE) algorithm is presented. The shape function of neighbourhood of a point in the solution domain is defined thus we derive the definition of the essential structure. Based on this, we deduce the essential structure equation in terms of the principle of the classical Galerkin method. Then we obtain the coefficients of the essential structure equation by constructing the essential structure shape function with the mergence of the element shape functions. In this work, this new algorithm is used to solve the MT 1D forward problem with continuous change of conductivity. Six kinds of shape functions with the powers from one to six are used to perform calculations, and the results are compared and analyzed.