Convergence of hp streamline diffusion method for Vlasov-Maxwell System
Paper in proceedings, 2017

We study stability and convergence of hp-streamline diffusion (SD) finite element method for the relativistic Vlasov-Maxwell (VM) system. We consider full spatial domain in R3 and velocities in R3 . The objective is to show globally optimal a priori error bounds of order O(h/p)s+1/2 . Here h is the mesh size and p is spectral order. Our estimates rely on the local version where hK is the diameter of the phase-space-time element K and pK the spectral order.

Vlasov-Maxwell system

finite element method

Convergence alalysis

Author

Mohammad Asadzadeh

University of Gothenburg

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Piotr Kowalczyk

Christoffer Standar

University of Gothenburg

Chalmers, Mathematical Sciences

Journal of Computational and Theoretical Transport

2332-4309 (ISSN) 2332-4325 (eISSN)

Vol. Conference Issue 10-

Subject Categories

Mathematics

Roots

Basic sciences

More information

Created

1/3/2018 3