A posteriori error estimates for streamline-diffusion and discontinuous Galerkin methods for the Vlasov-Maxwell system
Artikel i vetenskaplig tidskrift, 2018

This paper concerns a posteriori error analysis for the streamline diffusion
(SD) finite element method for the one and one-half dimensional relativistic Vlasov–
Maxwell system. The SD scheme yields a weak formulation, that corresponds to an
add of extra diffusion to, e.g. the system of equations having hyperbolic nature, or
convection-dominated convection diffusion problems. The a posteriori error estimates
rely on dual formulations and yield error controls based on the computable residuals.
The convergence estimates are derived in negative norms, where the error is split into
an iteration and an approximation error and the iteration procedure is assumed to  converge.

Streamline diffusion · Vlasov–Maxwell · A posteriori error estimates

samverkan

Stability Convergence

Författare

Mohammad Asadzadeh

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Christoffer Standar

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

BIT Numerical Mathematics

0006-3835 (ISSN) 1572-9125 (eISSN)

Vol. 58 5-26

Ämneskategorier

Beräkningsmatematik

Reglerteknik

Datavetenskap (datalogi)

Infrastruktur

C3SE (Chalmers Centre for Computational Science and Engineering)

DOI

10.1007/s10543-017-0666-9