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

by Aurora Marica and Enrique Zuazua

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 coexistence of two Fourier spectral branches or spectral diagrams (physical and spurious) related to the two components of the numerical solution (averages...

• Format: Paperback
• Language: English
• ISBN: 1461458102
• ISBN13: 9781461458104
• Release Date: March 2014
• Publisher: Springer
• Length: 104 Pages
• Weight: 0.40 lbs.
• Dimensions: 0.3" x 6.1" x 9.2"