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Convergent Lagrangian Discretization for Drift-Diffusion with Nonlocal Aggregation

  • Daniel Matthes
  • Benjamin Söllner
Chapter
Part of the Springer INdAM Series book series (SINDAMS, volume 16)

Abstract

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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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Technische Universität München, Zentrum Mathematik/M8GarchingGermany

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