Nodal Discontinuous Galerkin Methods

Name: Nodal Discontinuous Galerkin Methods
Author: Jan Hesthaven

Algorithms, Analysis, and Applications

Gebonden Engels 2007 1e druk 9780387720654

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120,99

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Samenvatting

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.

Specificaties

ISBN13:9780387720654

Trefwoorden:Algoritmen, analyse, applicaties

Taal:Engels

Bindwijze:gebonden

Aantal pagina's:502

Uitgever:Springer

Druk:1

Verschijningsdatum:18-12-2007

Hoofdrubriek:Wetenschap en techniek

Serie:Texts in Applied Mathematics

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Inhoudsopgave

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.