Convergent Lagrangian Discretization for Drift-Diffusion with Nonlocal Aggregation

被引：8
|
作者：
Matthes, Daniel [1 ]
Soellner, Benjamin [1 ]
机构：
[1] Tech Univ Munich, Zentrum Math M8, Boltzmannstr 3, D-85747 Garching, Germany
来源：
INNOVATIVE ALGORITHMS AND ANALYSIS | 2017年 / 16卷
关键词：
EQUATIONS; SCHEME; DIFFEOMORPHISMS; SPACES; FLOWS;
D O I：
10.1007/978-3-319-49262-9_12
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A Lagrangian discretization for nonlinear aggregation-diffusion equations in one space dimension is presented, and its convergence is rigorously analyzed. In comparison to related works by the first author and Osberger (ESAIM Math Model Numer Anal 48: 697-726, 2014; Found Comput Math 1-54, 2015) on Lagrangian schemes for drift-diffusion equations, convergence is proven directly on the level on the Lagrangian maps, without passage through the density formulation.
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页码：313 / 351
页数：39
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