Moving Dirichlet Boundary Conditions
| dc.contributor.author | Altmann, Robert | |
| dc.date.accessioned | 2021-12-17T10:11:31Z | |
| dc.date.available | 2021-12-17T10:11:31Z | |
| dc.date.issued | 2013-09-24 | |
| dc.description.abstract | This paper develops a framework to include Dirichlet boundary conditions on a subset of the boundary which depends on time. In this model, the boundary conditions are weakly enforced with the help of a Lagrange multiplier method. In order to avoid that the ansatz space of the Lagrange multiplier depends on time, a bi-Lipschitz transformation, which maps a fixed interval onto the Dirichlet boundary, is introduced. An inf-sup condition as well as existence results are presented for a class of second order initial-boundary value problems. For the semi-discretization in space, a finite element scheme is presented which satisfies a discrete stability condition. Because of the saddle point structure of the underlying PDE, the resulting system is a DAE of index 3. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15784 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14557 | |
| 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 | Dirichlet boundary conditions | en |
| dc.subject.other | operator DAE | en |
| dc.subject.other | inf-sup condition | en |
| dc.subject.other | wave equation | en |
| dc.title | Moving Dirichlet Boundary Conditions | 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, 12 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 65J10 Equations with linear operators | en |
| tub.subject.msc2000 | 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods | en |
| tub.subject.msc2000 | 65M20 Method of lines | en |
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