Autor:
Współtwórca:
Sokołowski, Jan - ed. ; Sonnendrücker, Eric - ed.
Tytuł:
A direct and accurate adaptive semi-Lagrangian scheme for the Vlasov-Poisson equation
Podtytuł:
Tytuł publikacji grupowej:
Temat i słowa kluczowe:
fully adaptive scheme ; semi-Lagrangian method ; Vlasov-Poisson system ; error estimates ; convergence rates ; optimal transport of adaptive multiscale meshes
Abstract:
This article aims at giving a simplified presentation of a new adaptive semi-Lagrangian scheme for solving the (1 + 1)-dimensional Vlasov-Poisson system, which was developed in 2005 with Michel Mehrenberger and first described in (Campos Pinto and Mehrenberger, 2007). The main steps of the analysis are also given, which yield the first error estimate for an adaptive scheme in the context of the Vlasov equation. ; This article focuses on a key feature of our method, which is a new algorithm to transport multiscale meshes along a smooth flow, in a way that can be said "optimal" in the sense that it satisfies both accuracy and complexity estimates which are likely to lead to optimal convergence rates for the whole numerical scheme.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Data wydania:
Typ zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 17, number 3 (2007) ; kliknij tutaj, żeby przejść