Title:
|
Stability of ALE discontinuous Galerkin method with Radau quadrature (English) |
Author:
|
Vlasák, Miloslav |
Language:
|
English |
Journal:
|
Programs and Algorithms of Numerical Mathematics |
Volume:
|
Proceedings of Seminar. Hejnice, June 24-29, 2018 |
Issue:
|
2018 |
Year:
|
|
Pages:
|
169-176 |
. |
Category:
|
math |
. |
Summary:
|
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. (English) |
Keyword:
|
ALE formulation |
Keyword:
|
discontinuous Galerkin method |
Keyword:
|
implicit Runge-Kutta method |
Keyword:
|
discrete characteristic function |
Keyword:
|
stability |
MSC:
|
65M60 |
MSC:
|
65M99 |
DOI:
|
10.21136/panm.2018.18 |
. |
Date available:
|
2019-04-29T13:39:08Z |
Last updated:
|
2023-06-05 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703073 |
. |