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- W4205821835 abstract "We consider the 2D Helmholtz equation with a complex wavenumber in the exterior of a convex polygonal obstacle, with a Robin-type boundary condition. Using the principle of the half-space matching method, the problem is formulated as a system of coupled Fourier-integral equations, the unknowns being the Robin traces on the infinite straight lines supported by the edges of the polygon. We prove that this system is a Fredholm equation of the second kind, in a L2 functional framework. The truncation of the Fourier integrals and the finite element approximation of the corresponding numerical method are also analyzed. The theoretical results are supported by various numerical experiments." @default.
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- W4205821835 date "2019-07-08" @default.
- W4205821835 modified "2023-10-17" @default.
- W4205821835 title "4. Numerical analysis of the half-space matching method with Robin traces on a convex polygonal scatterer" @default.
- W4205821835 doi "https://doi.org/10.1515/9783110543612-004" @default.
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