Nonconforming Finite Element Method For Time-Dependent Maxwell’s Equations

For the electromagnetic field problem of infinite calculated area, it is necessary to construct artificial structure boundary conditions for absorbing information of calculation area from the outside, which forms the absorbing boundary conditions (for short ABCs). In this thesis, for the Maxwell equations in a three-dimensional bounded domain with absorbing boundary conditions on artificial boundaries, the non-conforming mixed finite elements methods of semi-discrete scheme and backward euler fully discrete scheme are discussed. Meanwhile, by using interpolation of the element, derivative transfer skills and Gronwall inequality, the convergence analysis are presented and the error estimates are obtained.