Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications

Authors:
Jan S. Hesthaven;Tim Warburton
Affiliations:
-;-
Venue:
Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications
Year:
2010

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Abstract

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 PDEs, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDEs: Maxwells equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.