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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Marica, Aurora (Autor), Zuazua, Enrique (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:SpringerBriefs in Mathematics,
Temas:
Numerical analysis.
Fourier analysis.
Approximation theory.
Differential equations.
Algorithms.
Mathematics.
Numerical Analysis.
Fourier Analysis.
Approximations and Expansions.
Differential Equations.
Applications of Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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