A high frequency boundary element method for scattering by a class of nonconvex obstacles
DOI10.1007/s00211-014-0648-7zbMath1314.65154arXiv1401.2817OpenAlexW1985048099MaRDI QIDQ2017577
A. Twigger, D. P. Hewett, Stephen Langdon, Simon N. Chandler-Wilde
Publication date: 23 March 2015
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.2817
numerical exampleboundary element methoderror analysisHelmholtz equationexponential convergencehigh frequency acoustic scatteringnonconvex obstacles
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)
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- High-frequency diffraction of a electromagnetic plane wave by an imperfectly conducting rectangular cylinder
- Computing Fresnel integrals via modified trapezium rules
- Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case
- Analysis of multiple scattering iterations for high-frequency scattering problems. I: The two-dimensional case
- A high frequency boundary element method for scattering by a class of nonconvex obstacles
- A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering
- Condition number estimates for combined potential boundary integral operators in acoustic scattering
- Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation
- Numerical Estimation of Coercivity Constants for Boundary Integral Operators in Acoustic Scattering
- Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
- A new frequency-uniform coercive boundary integral equation for acoustic scattering
- Coercivity of Combined Boundary Integral Equations in High-Frequency Scattering
- On Asymptotic Series for Functions Occurring in the Theory of Diffraction of Waves by Wedges
- Wave-Number-Explicit Bounds in Time-Harmonic Scattering
- A High Frequency Boundary Element Method for Scattering by Convex Polygons with Impedance Boundary Conditions
- A High Frequency $hp$ Boundary Element Method for Scattering by Convex Polygons
- MINIMIZING THE CONDITION NUMBER OF BOUNDARY INTEGRAL OPERATORS IN ACOUSTIC AND ELECTROMAGNETIC SCATTERING
- Hybrid numerical-asymptotic approximation for high-frequency scattering by penetrable convex polygons
- A Galerkin Boundary Element Method for High Frequency Scattering by Convex Polygons
- AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
- Inverse acoustic and electromagnetic scattering theory
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