Spectral element schemes for high order partial differential equations : Application to the Korteweg-de Vries model

Abstract : We address the Korteweg-de Vries equation as an interesting model of high order partial differential equation, and show that using the classical spectral element method, i.e. a high order continuous Galerkin approximation, it is possible to develop satisfactory schemes, in terms of accuracy, computational efficiency, simplicity of implementation and, if required, conservation of the lower invariants. The proposed approach is a priori easily extensible to other partial differential equations and to multidimensional problems.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [42 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01158007
Contributor : Sebastian Minjeaud <>
Submitted on : Friday, May 29, 2015 - 11:39:59 AM
Last modification on : Thursday, May 3, 2018 - 1:32:58 PM
Long-term archiving on : Monday, April 24, 2017 - 5:41:33 PM

File

MP_15_hal.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01158007, version 1

Citation

Sebastian Minjeaud, Richard Pasquetti. Spectral element schemes for high order partial differential equations : Application to the Korteweg-de Vries model. 2015. ⟨hal-01158007⟩

Share

Metrics

Record views

550

Files downloads

298