Discontinuous Galerkin method for a 2D nonlocal flocking model

@inProceedings{Kučera2017,
abstract = {We present our work on the numerical solution of a continuum model of flocking dynamics in two spatial dimensions. The model consists of the compressible Euler equations with a nonlinear nonlocal term which requires special treatment. We use a semi-implicit discontinuous Galerkin scheme, which proves to be efficient enough to produce results in 2D in reasonable time. This work is a direct extension of the authors' previous work in 1D.},
author = {Kučera, Václav, Zivčáková, Andrea},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {discontinuous Galerkin method; semi-implicit time discretization; nonlocal problems; flocking dynamics},
location = {Prague},
pages = {63-72},
publisher = {Institute of Mathematics CAS},
title = {Discontinuous Galerkin method for a 2D nonlocal flocking model},
url = {http://eudml.org/doc/288171},
year = {2017},
}

TY - CLSWK
AU - Kučera, Václav
AU - Zivčáková, Andrea
TI - Discontinuous Galerkin method for a 2D nonlocal flocking model
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2017
CY - Prague
PB - Institute of Mathematics CAS
SP - 63
EP - 72
AB - We present our work on the numerical solution of a continuum model of flocking dynamics in two spatial dimensions. The model consists of the compressible Euler equations with a nonlinear nonlocal term which requires special treatment. We use a semi-implicit discontinuous Galerkin scheme, which proves to be efficient enough to produce results in 2D in reasonable time. This work is a direct extension of the authors' previous work in 1D.
KW - discontinuous Galerkin method; semi-implicit time discretization; nonlocal problems; flocking dynamics
UR - http://eudml.org/doc/288171
ER -