Asymptotic boundary element methods for thin conducting sheets
| dc.contributor.author | Schmidt, Kersten | |
| dc.contributor.author | Hiptmair, Ralf | |
| dc.date.accessioned | 2021-12-17T10:11:24Z | |
| dc.date.available | 2021-12-17T10:11:24Z | |
| dc.date.issued | 2013-06-24 | |
| dc.description.abstract | Various asymptotic models for thin conducting sheets in computational electromagnetics describe them as closed hyper-surfaces equipped with linear local transmission conditions for the traces of electric and magnetic fields. The transmission conditions turn out to be singularly perturbed with respect to limit values of parameters depending on sheet thickness and conductivity. We consider the reformulation of the resulting transmission problems into boundary integral equations (BIE) and their Galerkin discretization by means of low-order boundary elements. We establish stability of the BIE and provide a priori $h$-convergence estimates, with the dependence on model parameters made explicit throughout. This is achieved by a novel technique harnessing truncated asymptotic expansions of Galerkin discretization errors. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15781 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14554 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | boundary element method | en |
| dc.subject.other | asymptotic expansions | en |
| dc.subject.other | transmission condition | en |
| dc.subject.other | thin conducting sheets | en |
| dc.title | Asymptotic boundary element methods for thin conducting sheets | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2013, 15 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods | en |
| tub.subject.msc2000 | 35C20 Asymptotic expansions | en |
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