| Attributs | Valeurs |
|---|
| type
| |
| Is Part Of
| |
| Subject
| |
| License
| |
| Title
| - Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty
|
| Date
| |
| has manifestation of work
| |
| related by
| |
| Author
| |
| Abstract
| - We consider a finite element method with symmetric stabilisation for the discretisation of the transient convection-diffusion equation. For the time-discretisation we consider either the second order backwards differentiation formula or the Crank-Nicolson method. Both the convection term and the associated stabilisation are treated explicitly using an extrapolated approximate solution. We prove stability of the method and the τ2 + hp+½ error estimates for the L2-norm under either the standard hyperbolic CFL condition, when piecewise affine ( p = 1) approximation is used, or in the case of finite element approximation of order p ≥ 1, a stronger, so-called 4/3-CFL, i.e. τ ≤ Ch4/3. The theory is illustrated with some numerical examples.
|
| article type
| |
| publisher identifier
| |
| Date Copyrighted
| |
| Rights
| - © The authors. Published by EDP Sciences, SMAI 2022
|
| Rights Holder
| - The authors. Published by EDP Sciences, SMAI 2022
|
| is part of this journal
| |
| is primary topic
of | |
