Symmetric Discontinuous Galerkin Methods for 1-D Waves Fourier Analysis, Propagation, Observability and Applications /

This work describes the propagation properties of the so-called symmetric interior penalty discontinuous Galerkin (SIPG) approximations of the 1-d wave equation. This is done by means of linear approximations on uniform meshes. First, a careful Fourier analysis is constructed, highlighting the coexi...

Full description

Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Marica, Aurora (Author), Zuazua, Enrique (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:SpringerBriefs in Mathematics,
Subjects:
Numerical analysis.
Fourier analysis.
Approximation theory.
Differential equations.
Algorithms.
Mathematics.
Numerical Analysis.
Fourier Analysis.
Approximations and Expansions.
Differential Equations.
Applications of Mathematics.
Online Access:Texto Completo
Table of Contents:
  • 1. Preliminaries
  • 2. Discontinuous Galerkin approximations and main results
  • 3. Bibliographical notes
  • 4. Fourier analysis of the DG methods
  • 5. Non-uniform observability for DG approximations of waves
  • 6. Filtering mechanisms
  • 7. Extensions to other numerical approximation schemes
  • 8. Comments and open problems
  • A technical proof
  • References.

Similar Items