PETGEM: A parallel code for 3D CSEM forward modeling using edge finite elements

Finite-element time-domain modeling of electromagnetic data in general dispersive medium using adaptive Padé series

The integral equation method (IEM) and differential equation methods have been widely applied to provide numerical solutions of the electromagnetic (EM) fields caused by inhomogeneity for t...

A hybrid solver based on the integral equation method and vector finite-element method for 3D controlled-source electromagnetic method modeling

In this paper, we discuss a time domain finite element method for the approximate solution of Maxwell's equations. A weak formulation is derived for the electric and magnetic fields with appropriate initial and boundary conditions, and the problem is discretized both in space and time. In space, Nedelec curl-conforming and Raviart-Thomas div-conforming finite elements are used to discretize the electric and magnetic fields, respectively. The backward Euler and symplectic schemes are applied to discretize the problem in time. For this system, we prove an error estimate. In addition, computational experiments are presented to validate the method, the electric and magnetic fields are visualized. The method also allows treating complex geometries of various physical systems coupled to electromagnetic fields in 3D.

/pdf/time-domain-finite-element-method-for-maxwell-s-equations-k00s324jl7.pdf

Masashi Endo

Papers

Parallelized 3D CSEM modeling using edge-based finite element with total field formulation and unstructured mesh