Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hajduk, Hennes | - |
dc.contributor.author | Kuzmin, Dmitri | - |
dc.contributor.author | Aizinger, Vadym | - |
dc.date.accessioned | 2018-05-23T13:37:56Z | - |
dc.date.available | 2018-05-23T13:37:56Z | - |
dc.date.issued | 2018-04 | - |
dc.identifier.issn | 2190-1767 | - |
dc.identifier.uri | http://hdl.handle.net/2003/36876 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-18875 | - |
dc.description.abstract | In the present paper, we use modified shallow water equations (SWE) to reconstruct the bottom topography (also called bathymetry) of a flow domain without resorting to traditional inverse modeling techniques such as adjoint methods. The discretization in space is performed using a piecewise linear discontinuous Galerkin (DG) approximation of the free surface elevation and (linear) continuous finite elements for the bathymetry. Our approach guarantees compatibility of the discrete forward and inverse problems: for a given DG solution of the forward SWE problem, the underlying continuous bathymetry can be recovered exactly. To ensure well-posedness of the modified SWE and reduce sensitivity of the results to noisy data, a regularization term is added to the equation for the water height. A numerical study is performed to demonstrate the ability of the proposed method to recover bathymetry in a robust and accurate manner. | en |
dc.language.iso | en | - |
dc.relation.ispartofseries | Ergebnisberichte des Instituts für Angewandte Mathematik;585 | - |
dc.subject | Bathymetry reconstruction | en |
dc.subject | shallow water equations | en |
dc.subject | continuous/ discontinuous Galerkin method | en |
dc.subject | inverse problem | en |
dc.subject.ddc | 610 | - |
dc.title | Bathymetry reconstruction using inverse shallow water models: Finite element discretization and regularization | en |
dc.type | Text | - |
dc.type.publicationtype | preprint | - |
dc.subject.rswk | Bathymetrie | de |
dc.subject.rswk | Galerkin-Methode | de |
dcterms.accessRights | open access | - |
eldorado.secondarypublication | false | - |
Appears in Collections: | Ergebnisberichte des Instituts für Angewandte Mathematik |
Files in This Item:
File | Description | Size | Format | |
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Ergebnisbericht Nr. 585.pdf | DNB | 1.3 MB | Adobe PDF | View/Open |
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