|Preprint-No.:||< 366 >||Published in:||June 2013||PDF-File:||IGPM366_k.pdf|
|Title:||A Demonstration of the Advantage of Asymptotic Preserving Schemes over Standard Finite Volume Schemes|
We apply the concept of Asymptotic Preserving (AP) schemes  to the linearized p−system and discretize the resulting elliptic equation using standard continuous Finite Elements instead of Finite Differences. The fully discrete method is analyzed with respect to consistency, and we compare it numerically with more traditional methods such as Implicit Euler’s method. Numerical results indicate that the AP method is indeed superior to more traditional methods.
|Keywords:||conservation laws, asymptotic methods, finite volume methods, finite element methods|
|Publication:||Journal of Scientific Computing |
August 2014, Volume 60, Issue 2, pp 438-456