We introduce and analyze two new semi-discrete numerical methods for the multi-dimensional Vlasov-Poisson system. The schemes are constructed by combining a discontinuous Galerkin approximation to the Vlasov equation together with a mixed finite element method for the Poisson problem. We show optimal error estimates in the case of smooth compactly supported initial data. We propose a scheme that preserves the total energy of the system. © 2012 World Scientific Publishing Company.
|Journal||Mathematical Models and Methods in Applied Sciences|
|Publication status||Published - 22 Oct 2012|
- Discontinuous Galerkin
- Mixed finite elements