Development And Application Of Discontinuous Galerkin Method For The Solution Of Two Dimensional Maxwell Equations
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Nodal Discontinuous Galerkin Methods
Author: Jan S. Hesthaven
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-12-18
This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE’s, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE’s: Maxwell’s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.