High order \(C^0\)-continuous Galerkin schemes for high order PDEs, conservation of quadratic invariants and application to the Korteweg-de Vries model
type: Item
instance of: scholarly article
title: High order \(C^0\)-continuous Galerkin schemes for high order PDEs, conservation of quadratic invariants and application to the Korteweg-de Vries model
zbMATH Open document ID: 1398.65253
author: Sebastian Minjeaud
author: Richard Pasquetti
published in: Journal of Scientific Computing
publication date: 2018-03-01T00:00:00Z
review text: This paper deals with solutions of the Korteweg-de Vries equation and focus on development of reliable and effective schemes. Particularly, the accuracy, computational efficiency, simplicity of implementation of the scheme is investigated as well as the possible conservation of the lower invariants. The considered schemes are derived on the basis of a \(H^1\)-conformal Galerkin approximation, namely, the spectral element method. The theoretical results are supported by numerical results.
reviewed by: Petr Sváček
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 6845865
zbMATH Keywords: spectral element method
zbMATH Keywords: KdV equation
zbMATH Keywords: high order derivative approximation
zbMATH Keywords: invariants conservation
zbMATH Keywords: IMEX schemes
describes a project that uses: Nek5000
describes a project that uses: Nektar++
MaRDI profile type: Publication
full work available at URL: s10915-017-0455-2
OpenAlex ID: W2617660179
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DOI: 10.1007/S10915-017-0455-2
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