<div class="csl-bib-body">
<div class="csl-entry">Rieder, A. (2023, July 26). <i>A p-version of convolution quadrature in wave propagation</i> [Conference Presentation]. POWER 2023, Torino, Italy.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/187718
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dc.description.abstract
In this talk, we present a novel approach towards boundary element methods for wave propagation. It is based on the convolution quadrature idea by Lubich, but instead of relying on reducing the timestep size to achieve higher accuracy, we use the p-refinement paradigm of increasing the order of the method while keeping the timestep size fixed. To get an easily computable and analyzable scheme, we rely on the ideas of discontinuous Galerkin timestepping. This allows us to design a scheme which is root-exponentially convergent for certain very smooth initial conditions. We talk about possibilities to analyze this new scheme, as well its practical implementation and challenges. Finally, we show some numerical examples of the method in practice.
en
dc.description.sponsorship
FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
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dc.subject
convolution quadrature
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dc.subject
wave propagation
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dc.subject
BEM
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dc.title
A p-version of convolution quadrature in wave propagation
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dc.type
Presentation
en
dc.type
Vortrag
de
dc.relation.grantno
P36150
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dc.type.category
Conference Presentation
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tuw.publication.invited
invited
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tuw.project.title
Randelementmethoden für zeitabhängige Wellenausbreitung
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tuw.researchTopic.id
C4
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tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
100
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tuw.linking
https://sites.google.com/view/power2023turin/home
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tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing