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

• Main Authors: Marica, Aurora (Author), Zuazua, Enrique (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2014.
• Series: SpringerBriefs in Mathematics,
• Subjects: 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...