<div class="csl-bib-body">
<div class="csl-entry">Praetorius, D., Kurz, S., Pauly, D., Repin, S., Sebastian, D., & Freiszlinger, A. (2024, August 8). <i>Functional a-posteriori error estimates for BEM</i> [Presentation]. 2CCC Workshop on Numerical Analysis 2024, Berlin, Germany.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/199827
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dc.description.abstract
We consider the Poisson model problem with inhomogeneous Dirichlet boundary conditions. For the numerical solution, we employ the boundary element method (BEM). Unlike existing work, we aim for a-posteriori error control of the potential error (in the domain) instead of the error of the approximated integral density (on the boundary). To this end, we employ the well-known technique of functional error estimates. One key feature is that the derived error estimates are independent of the BEM discretization and provide guaranteed lower and upper bounds for the unknown error. In particular, the analysis covers Galerkin BEM and the collocation method, what makes the approach of particular interest for scientific computations and engineering applications. Numerical experiments for the Laplace problem confirm the theoretical results.
en
dc.language.iso
en
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dc.subject
Boundary element method
en
dc.subject
a-posteriori error estimate
en
dc.subject
adaptive algorithm
en
dc.title
Functional a-posteriori error estimates for BEM
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Presentation
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tuw.researchTopic.id
C4
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E101-02-2 - Forschungsgruppe Numerik von PDEs
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tuw.author.orcid
0000-0002-1977-9830
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tuw.event.name
2CCC Workshop on Numerical Analysis 2024
en
tuw.event.startdate
08-08-2024
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tuw.event.enddate
08-08-2024
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Berlin
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tuw.event.country
DE
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tuw.event.institution
Humboldt-Universität zu Berlin
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tuw.event.presenter
Praetorius, Dirk
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.openairecristype
http://purl.org/coar/resource_type/R60J-J5BD
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item.grantfulltext
none
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item.languageiso639-1
en
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item.cerifentitytype
Publications
-
item.fulltext
no Fulltext
-
item.openairetype
conference presentation
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crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
-
crisitem.author.dept
E384 - Institut für Computertechnik
-
crisitem.author.dept
E101-02 - Forschungsbereich Numerik
-
crisitem.author.dept
E101-02-2 - Forschungsgruppe Numerik von PDEs
-
crisitem.author.orcid
0000-0002-1977-9830
-
crisitem.author.parentorg
E100 - Fakultät für Mathematik und Geoinformation
-
crisitem.author.parentorg
E350 - Fakultät für Elektrotechnik und Informationstechnik
-
crisitem.author.parentorg
E101 - Institut für Analysis und Scientific Computing
