A stable boundary integral formulation of an acoustic wave transmission problem with mixed boundary conditions
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Date
2021Type
- Journal Article
Abstract
In this paper, we consider an acoustic wave transmission problem with mixed boundary conditions of Dirichlet, Neumann, and impedance type. We will derive a formulation as a direct, space-time retarded boundary integral equation, where both Cauchy data are kept as unknowns on the impedance part of the boundary. This requires the definition of single-trace spaces which incorporate homogeneous Dirichlet and Neumann conditions on the corresponding parts on the boundary. We prove the continuity and coercivity of the formulation by employing the technique of operational calculus in the Laplace domain. Show more
Publication status
publishedExternal links
Journal / series
SIAM Journal on Mathematical AnalysisVolume
Pages / Article No.
Publisher
Society for Industrial and Applied MathematicsSubject
acoustic wave equation; transmission problem; impedance boundary condition; retarded potentials; convolution quadratureOrganisational unit
03632 - Hiptmair, Ralf / Hiptmair, Ralf
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