Uniform Convergence of a Linearly Transformed Particle Method for the Vlasov--Poisson System

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Uniform Convergence of a Linearly Transformed Particle Method for the Vlasov-Poisson System

A particle method with linear transformation of the particle shape functions is studied for the 1d-1v Vlasov-Poisson equation, and a priori error estimates are proven which show that the approximated densities converge in the uniform norm. When compared to standard fixedshape particle methods, the present approach can be seen as a way to gain one order in the convergence rate of the particle tr...

متن کامل

A discontinuous Galerkin method for the Vlasov-Poisson system

A discontinuous Galerkin method for approximating the Vlasov-Poisson system of equations describing the time evolution of a collisionless plasma is proposed. The method is mass conservative and, in the case that piecewise constant functions are used as a basis, the method preserves the positivity of the electron distribution function. The performance of the method is investigated by computing f...

متن کامل

A dynamical adaptive tensor method for the Vlasov-Poisson system

A numerical method is proposed to solve the full-Eulerian time-dependent Vlasov-Poisson system in high dimension. The algorithm relies on the construction of a tensor decomposition of the solution whose rank is adapted at each time step. This decomposition is obtained through the use of an efficient modified Progressive Generalized Decomposition (PGD) method, whose convergence is proved. We sug...

متن کامل

Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineutrality

This paper deals with the numerical resolution of the VlasovPoisson system in a nearly quasineutral regime by Particle-In-Cell (PIC) methods. In this regime, classical PIC methods are subject to stability constraints on the time and space steps related to the small Debye length and

متن کامل

A Particle Method for the Semiclassical Limit of the Schrödinger Equation and the Vlasov-Poisson Equations

When using standard deterministic particle methods, point values of the computed solutions have to be recovered from their singular particle approximations by using some smoothing procedure. The choice of the smoothing procedure is rather flexible. Moreover, there is always a parameter associated with the smoothing procedure: if this parameter is too large, the numerical solution loses its accu...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: SIAM Journal on Numerical Analysis

سال: 2016

ISSN: 0036-1429,1095-7170

DOI: 10.1137/140994678