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

• Κύριοι συγγραφείς: Marica, Aurora (Συγγραφέας), Zuazua, Enrique (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2014.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Mathematics.; Approximation theory.; Fourier analysis.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Algorithms.; Numerical analysis.; Numerical Analysis.; Fourier Analysis.; Approximations and Expansions.; Partial Differential Equations.; Applications of Mathematics.

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...

Πίνακας περιεχομένων:

• 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.