<div class="csl-bib-body">
<div class="csl-entry">Erath, C., Mascotto, L., Melenk, J. M., Perugia, I., & Rieder, A. (2022). Mortar Coupling of 𝘩𝘱-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation. <i>Journal of Scientific Computing</i>, <i>92</i>(1), Article 2. https://doi.org/10.1007/s10915-022-01849-0</div>
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dc.identifier.issn
0885-7474
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/139304
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dc.description.abstract
We design and analyze a coupling of a discontinuous Galerkin finite element method with a boundary element method to solve the Helmholtz equation with variable coefficients in three dimensions. The coupling is realized with a mortar variable that is related to an impedance trace on a smooth interface. The method obtained has a block structure with nonsingular subblocks. We prove quasi-optimality of the 𝘩- and 𝘱-versions of the scheme, under a threshold condition on the approximability properties of the discrete spaces. Amongst others, an essential tool in the analysis is a novel discontinuous-to-continuous reconstruction operator on tetrahedral meshes with curved faces.
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dc.description.sponsorship
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
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dc.publisher
SPRINGER/PLENUM PUBLISHERS
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dc.relation.ispartof
Journal of Scientific Computing
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dc.subject
Boundary element method
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dc.subject
Discontinuous Galerkin method
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dc.subject
Helmholtz equation
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dc.subject
Mortar coupling
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dc.subject
Variable sound speed
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dc.title
Mortar Coupling of 𝘩𝘱-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation