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DC Field | Value | Language |
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dc.contributor.author | Bespalov, A | - |
dc.contributor.author | Heuer, N | - |
dc.coverage.spatial | 33 | en |
dc.date.accessioned | 2008-10-22T09:20:32Z | - |
dc.date.available | 2008-10-22T09:20:32Z | - |
dc.date.issued | 2008 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/2761 | - |
dc.description.abstract | In this paper the hp-version of the boundary element method is applied to the electric field integral equation on a piecewise plane (open or closed) Lipschitz surface. The underlying meshes are supposed to be quasi-uniform. We use $\bH(\div)$-conforming discretisations with quadrilateral elements of Raviart-Thomas type and establish quasi-optimal convergence of hp-approximations. Main ingredient of our analysis is a new $\tilde\bH^{-1/2}(\div)$-conforming p-interpolation operator that assumes only $\bH^r\cap\tilde\bH^{-1/2}(\div)$-regularity ($r>0$) and for which we show quasi-stability with respect to polynomial degrees. | en |
dc.format.extent | 315936 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.subject | hp-version with quasi-uniform meshes | en |
dc.subject | electric field integral equation | en |
dc.subject | time-harmonic electro-magnetic scattering | en |
dc.subject | boundary element method | en |
dc.title | On the convergence of the hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces | en |
dc.type | Preprint | en |
Appears in Collections: | Computer Science Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
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BespalovH_Chp.pdf | 308.53 kB | Adobe PDF | View/Open |
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