Coupling of boundary integral equation and finite element methods for transmission problems in acoustics
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DOI: 10.1007/s11075-018-0610-3
Abstract: In this paper, we propose a coupling of finite element method (FEM) and boundary integral equation (BIE) method for solving acoustic transmission problems in two dimensions. The original transmission problem is firstly reduced to a… read more here.
Keywords: acoustics; finite element; integral equation; transmission problems ... See more keywords
Higher dimensional transmission problems for Dirac operators on Lipschitz domains
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.05.040
Abstract: Abstract Transmission boundary value problems for the time-harmonic Maxwell system, the Helmholtz operator, and the perturbed Dirac operator are formulated, using Clifford algebras, on bounded Lipschitz domains of R m with m ≥ 3 .… read more here.
Keywords: problems dirac; dimensional transmission; higher dimensional; transmission ... See more keywords
Ground-state solutions to Kirchhoff-type transmission problems with critical perturbation
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DOI: 10.1016/j.jmaa.2019.123568
Abstract: Abstract A class of Kirchhoff-type transmission problems with critical perturbation is studied. Unlike other studies on elliptical equations with critical growth, a ground-state solution is obtained using a perturbation method instead of verifying that the… read more here.
Keywords: perturbation; transmission problems; critical perturbation; problems critical ... See more keywords
Lp regularity for elliptic transmission problems with two spectral parameters
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DOI: 10.1080/00036811.2024.2358135
Abstract: ABSTRACT We study a family of elliptic transmission problems on heterogeneous unbounded domains posed in UMD spaces. In order to determine the strict solution, this work investigates the effect and relationships between two spectral parameters;… read more here.
Keywords: spectral parameters; elliptic transmission; transmission problems; regularity elliptic ... See more keywords
Complex frequency analysis of the scattering matrix for the design of perfect absorbers in reflection and transmission problems.
Sign Up to like & getrecommendations! Published in 2018 at "Journal of the Acoustical Society of America"
DOI: 10.1121/1.5067771
Abstract: The design of deep-subwavelength structures for low frequency sound perfect absorption is challenging. Subwavelength perfect absorption implies increasing of the density of states at low frequency while maintaining impedance matching to the surrounding medium. Therefore,… read more here.
Keywords: frequency; transmission problems; scattering matrix; low frequency ... See more keywords