A boundary conformal Discontinuous Galerkin approach for transient electro-quasistatic problems with moving boundaries

A numerical approach based on the high order Discontinuous Galerkin (DG) method for three dimensional transient electro-quasistatic field problems with moving material boundaries on fixed Cartesian grids is proposed. A novel cut-cell method for complex curved material boundaries is proposed to avoid costly remeshing of the geometry. The approach combines the accuracy of high order discretizations with the simple implementation and numerical efficiency of Cartesian grids.