Nodal Discontinuous Galerkin Methods: Algorithms, Analysis,

Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications (Texts in Applied Mathematics)

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

Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications (Texts in Applied Mathematics)