TY - JOUR
T1 - Convergent lagrangian discretization for drift-diffusion with nonlocal aggregation
AU - Matthes, Daniel
AU - Söllner, Benjamin
N1 - Publisher Copyright:
© Springer International Publishing AG 2017.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85028771204&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-49262-9_12
DO - 10.1007/978-3-319-49262-9_12
M3 - Article
AN - SCOPUS:85028771204
SN - 2281-518X
VL - 16
SP - 313
EP - 351
JO - Springer INdAM Series
JF - Springer INdAM Series
ER -