This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …

Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …

In this popular text for an Numerical Analysis course, the authors introduce several major
methods of solving various partial differential equations (PDEs) including elliptic, parabolic …

We present a discontinuous Galerkin surface integral equation method, herein referred to as
IEDG, for time harmonic electromagnetic wave scattering from nonpenetrable targets. The …

We present two hybridizable discontinuous Galerkin (HDG) methods for the numerical
solution of the time-harmonic Maxwell's equations. The first HDG method explicitly enforces …

We propose and study a nonoverlapping and nonconforming domain decomposition
method for the integral-equation-based solution of large, complex electromagnetic (EM) …

In this paper, we propose a novel interior penalty discontinuous Galerkin projection method
for the incompressible magneto-hydrodynamic equations. The scheme is employed by an …

This book is the third volume of a three-part textbook suitable for graduate coursework,
professional engineering and academic research. It is also appropriate for graduate flipped …

A theoretical framework for the analysis of discontinuous Galerkin approximations of the
Maxwell eigenproblem with discontinuous coefficients is presented. Necessary and …

We present a surface integral equation domain decomposition method (SIE-DDM) for time
harmonic electromagnetic wave scattering from bounded composite targets. The proposed …