Analysis of a semi-implicit structure-preserving finite element method for the nonstationary incompressible Magnetohydrodynamics equations
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 2150-2161 |
| Journal / Publication | Computers and Mathematics with Applications |
| Volume | 80 |
| Issue number | 10 |
| Online published | 25 Sept 2020 |
| Publication status | Published - 15 Nov 2020 |
Link(s)
Abstract
We revise the structure-preserving finite element method in [K. Hu, Y. MA and J. Xu. (2017) Stable finite element methods preserving ∇⋅B=0 exactly for MHD models. Numer. Math., 135, 371-396]. The revised method is semi-implicit in time-discretization. We prove the linearized scheme preserves the divergence free property for the magnetic field exactly at each time step. Further, we showed the linearized scheme is unconditionally stable and we obtain optimal convergence in the energy norm of the revised method even for solutions with low regularity.
Research Area(s)
- Finite element method, Magnetohydrodynamics, Structure-preserving
Citation Format(s)
Analysis of a semi-implicit structure-preserving finite element method for the nonstationary incompressible Magnetohydrodynamics equations. / Qiu, Weifeng; Shi, Ke.
In: Computers and Mathematics with Applications, Vol. 80, No. 10, 15.11.2020, p. 2150-2161.
In: Computers and Mathematics with Applications, Vol. 80, No. 10, 15.11.2020, p. 2150-2161.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
