Stability of ALE discontinuous Galerkin method with Radau quadrature

Vlasák, Miloslav. "Stability of ALE discontinuous Galerkin method with Radau quadrature." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2019. 169-176. <http://eudml.org/doc/294916>.

@inProceedings{Vlasák2019,
abstract = {We assume the nonlinear parabolic problem in a time dependent domain, where the evolution of the domain is described by a regular given mapping. The problem is discretized by the discontinuous Galerkin (DG) method modified by the right Radau quadrature in time with the aid of Arbitrary Lagrangian-Eulerian(ALE) formulation. The sketch of the proof of the stability of the method is shown.},
author = {Vlasák, Miloslav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {ALE formulation; discontinuous Galerkin method; implicit Runge-Kutta method; discrete characteristic function; stability},
location = {Prague},
pages = {169-176},
publisher = {Institute of Mathematics CAS},
title = {Stability of ALE discontinuous Galerkin method with Radau quadrature},
url = {http://eudml.org/doc/294916},
year = {2019},
}

TY - CLSWK
AU - Vlasák, Miloslav
TI - Stability of ALE discontinuous Galerkin method with Radau quadrature
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2019
CY - Prague
PB - Institute of Mathematics CAS
SP - 169
EP - 176
AB - We assume the nonlinear parabolic problem in a time dependent domain, where the evolution of the domain is described by a regular given mapping. The problem is discretized by the discontinuous Galerkin (DG) method modified by the right Radau quadrature in time with the aid of Arbitrary Lagrangian-Eulerian(ALE) formulation. The sketch of the proof of the stability of the method is shown.
KW - ALE formulation; discontinuous Galerkin method; implicit Runge-Kutta method; discrete characteristic function; stability
UR - http://eudml.org/doc/294916
ER -