Abstract: In this talk, we address the stability analysis of a family of conforming space-time isogeometric discretizations for the wave equation based on splines of maximal regularity in time. By exploiting the algebraic structure of the matrices associated with the time discretization, we investigate the condition number properties of the isogeometric method. For each spline order, we derive explicit estimates of both the CFL condition required in the unstabilized case and the penalty term that minimizes the consistency error in the stabilized setting. Numerical tests confirm the sharpness of our results.
Conforming space-time IgA for the wave equation: stability analysis from a matricial perspective
22.05.2024 14:00 - 14:30
Organiser:
SFB 65
Location:
HS 2, EG, OMP 1
Location:
und Zoom
Verwandte Dateien
- pde_afternoon_2024-05-22.pdf 919 KB