When a thin periodic layer meets corners: asymptotic analysis of a singular Poisson problem
| dc.contributor.author | Delourme, Bérangère | |
| dc.contributor.author | Schmidt, Kersten | |
| dc.contributor.author | Semin, Adrien | |
| dc.date.accessioned | 2021-12-17T10:12:52Z | |
| dc.date.available | 2021-12-17T10:12:52Z | |
| dc.date.issued | 2015-12-23 | |
| dc.description.abstract | The present work deals with the resolution of the Poisson equation in a bounded domain made of a thin and periodic layer of finite length placed into a homogeneous medium. We provide and justify a high order asymptotic expansion which takes into account the boundary layer effect occurring in the vicinity of the periodic layer as well as the corner singularities appearing in the neighborhood of the extremities of the layer. Our approach combines the method of matched asymptotic expansions and the method of periodic surface homogenization, and a complete justification is included in the paper or its appendix. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15829 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14602 | |
| 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 | asymptotic analysis | en |
| dc.subject.other | periodic surface homogenization | en |
| dc.subject.other | singular asymptotic expansions | en |
| dc.title | When a thin periodic layer meets corners: asymptotic analysis of a singular Poisson problem | 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 | 2015, 34 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 35C20 Asymptotic expansions | en |
| tub.subject.msc2000 | 35A20 Analytic methods, singularities | en |
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