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Viser: Nodal Discontinuous Galerkin Methods - Algorithms, Analysis, and Applications
Nodal Discontinuous Galerkin Methods
Algorithms, Analysis, and Applications
Jan S. Hesthaven og Tim Warburton
(2007)
Sprog: Engelsk
Springer New York
1.142,00 kr.
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Detaljer om varen
- 1. Udgave
- Hardback: 500 sider
- Udgiver: Springer New York (December 2007)
- Forfattere: Jan S. Hesthaven og Tim Warburton
- ISBN: 9780387720654
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.
The key ideas.- Making it work in one dimension.- Insight through theory.- Nonlinear problems.- Beyond one dimension.- Higher-order equations.- Spectral properties of discontinuous Galerkin operators.- Curvilinear elements and nonconforming discretizations.- Into the third dimension.
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