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Approximating the nonlinear Schrödinger equation by a two level linearly implicit finite element method
Mohammad Asadzadeh, Christoffer Standar
We consider the study of a numerical scheme for an initial- and Dirichlet boundary- value problem for a nonlinear Schrödinger equation. We approximate the solution using a, local (…
On hp-Streamline Diffusion and Nitsche schemes for the Relativistic Vlasov-Maxwell System
Mohammad Asadzadeh, Piotr Kowalczyk, Christoffer Standar
We study stability and convergence of -streamline diffusion (SD) finite element, and Nitsche's schemes for the three dimensional, relativistic (3 spatial dimension and 3 veloci…
A posteriori error estimates for the one and one-half Dimensional Relativistic Vlasov-Maxwell system
Mohammad Asadzadeh, Christoffer Standar
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…
A priori error estimates and computational studies for a Fermi pencil-beam equation
M. Asadzadeh, L. Beilina, M. Naseer +1
We derive a priori error estimates for the standard Galerkin and streamline diffusion finite element methods for the Fermi pencil-beam equation obtained from a fully three dimensio…