Stability Analysis of the Explicit Ｒunge-Kutta Local Discontinuous Galerkin Method
To analyze the stability of the local discontinuous Garlerkin method for heat equation，where the time discretization is the explicit TVD Ｒunge-Kutta method. For the sufficiently smooth solution case，when the finite element space is the k-th order piecewise polynomial space on the regular meshes，we...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2017-12-01
|
| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1463 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | To analyze the stability of the local discontinuous Garlerkin method for heat equation，where the
time discretization is the explicit TVD Ｒunge-Kutta method. For the sufficiently smooth solution case，when the
finite element space is the k-th order piecewise polynomial space on the regular meshes，we use the finite element
analysis technique to proof the L2-norm stability for hear equation under the CFL condition τ≤λμ － 2h2，where τ，h
are the time step and the length of the element respectively，and μ，λ are constants independent of h，τ. |
|---|---|
| ISSN: | 1007-2683 |