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.
- ISBN13 9780387720654
- Publish Date 18 December 2007
- Publish Status Active
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Edition 2008 ed.
- Format Hardcover
- Pages 502
- Language English