Publications [#68093] of Qing H. Liu

Papers Published

1. Joon-Ho Lee and Tian Xiao and Liu, Q.H., A discontinuous spectral element time-domain method for electromagnetic devices, 2006 IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No. 06CH37758C) (2006), pp. 519 -, Albuquerque, NM, USA
   (last updated on 2007/04/17)

   Abstract:
   In this paper, we present a discontinuous spectral element time-domain (SETD) method to solve the first-order formulation of Maxwell's equations. This method combines the SETD method with discontinuous Galerkin method (DGM) to optimize the distribution of nodal points in a multiscale problem where different regions are best discretized by different order basis functions. Thus, the basis functions can be discontinuous across regions. With each element, the choice of nodal points and quadrature integration points are based on Gauss-Lobatto-Legendre (GLL) polynomials. Because the basis functions of the discontinuous SETD are orthogonal and because the GLL quadrature is used, the mass matrix is block-diagonal and thus we can avoid the inversion of a large mass matrix. The time integration is obtained by a fourth-order, five-stage low storage Runge-Kutta scheme

   Keywords:
   electromagnetic devices;Galerkin method;matrix algebra;Maxwell equations;polynomials;Runge-Kutta methods;time-domain analysis;