Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93861
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Feng, X | en_US |
dc.creator | Li, B | en_US |
dc.creator | Ma, S | en_US |
dc.date.accessioned | 2022-08-03T01:23:59Z | - |
dc.date.available | 2022-08-03T01:23:59Z | - |
dc.identifier.issn | 0036-1429 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/93861 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2021 Society for Industrial and Applied Mathematics | en_US |
dc.rights | The following publication Feng, X., Li, B., & Ma, S. (2021). High-order Mass-and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation. SIAM Journal on Numerical Analysis, 59(3), 1566-1591 is available at https://doi.org/10.1137/20M1344998 | en_US |
dc.subject | Error estimates | en_US |
dc.subject | High-order conserving schemes | en_US |
dc.subject | Mass- and energy-conservation | en_US |
dc.subject | Nonlinear Schrödinger equation | en_US |
dc.subject | SAV-Gauss collocation finite element method | en_US |
dc.title | High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 1566 | en_US |
dc.identifier.epage | 1591 | en_US |
dc.identifier.volume | 59 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.doi | 10.1137/20M1344998 | en_US |
dcterms.abstract | A family of arbitrarily high-order fully discrete space-time finite element methods are proposed for the nonlinear Schrödinger equation based on the scalar auxiliary variable formulation, which consists of a Gauss collocation temporal discretization and the finite element spatial discretization. The proposed methods are proved to be well-posed and conserving both mass and energy at the discrete level. An error bound of the form O(hp + τk+1) in the L∞(0, T; H1)-norm is established, where h and τ denote the spatial and temporal mesh sizes, respectively, and (p, k) is the degree of the space-time finite elements. Numerical experiments are provided to validate the theoretical results on the convergence rates and conservation properties. The effectiveness of the proposed methods in preserving the shape of a soliton wave is also demonstrated by numerical results. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on numerical analysis, 2021, v. 59, no. 3, p. 1566-1591 | en_US |
dcterms.isPartOf | SIAM journal on numerical analysis | en_US |
dcterms.issued | 2021 | - |
dc.identifier.scopus | 2-s2.0-85108635603 | - |
dc.identifier.eissn | 1095-7170 | en_US |
dc.description.validate | 202208 bcfc | en_US |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | AMA-0039 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 54045313 | - |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
20m1344998.pdf | 2.89 MB | Adobe PDF | View/Open |
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