کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4967615 1449374 2017 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A dynamical adaptive tensor method for the Vlasov-Poisson system
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A dynamical adaptive tensor method for the Vlasov-Poisson system
چکیده انگلیسی
A numerical method is proposed to solve the full-Eulerian time-dependent Vlasov-Poisson system. 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 suggest in addition a symplectic time-discretization splitting scheme that preserves the Hamiltonian properties of the system. This scheme is naturally obtained by considering the tensor structure of the approximation. The proposed approach is illustrated through time-dependent 1D-1D, 2D-2D and 3D-3D numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 339, 15 June 2017, Pages 285-306
نویسندگان
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