Implicit-Explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations
Event details
| Date | 01.06.2011 |
| Hour | 16:15 |
| Speaker | Prof. Erik Burman |
| Location |
MA 110
|
| Category | Conferences - Seminars |
We analyze a two-stage explicit-implicit Runge-Kutta scheme for time discretization of advection- diffusion equations. Space discretization uses continuous, piecewise affine finite elements with interelement gradient jump penalty; discontinuous Galerkin methods can be considered as well.
The advective and stabilization operators are treated explicitly, whereas the diffusion operator is treated implicitly. Our analysis hinges on L2-energy estimates on discrete functions in physical space.
Our main results are stability and quasi-optimal error estimates for smooth solutions under a standard hyperbolic CFL restriction on the time step, both in the advection-dominated and in the diffusion-dominated regimes. The theory is illustrated by numerical examples.
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Practical information
- General public
- Free
Contact
- Prof. Marco Picasso