Two canonical wedge problems for the Helmholtz equation

DOI10.1002/mma.1670171104zbMath0808.35022OpenAlexW2171972858MaRDI QIDQ4307757

Erhard Meister, Frank Penzel, Frank-Olme Speck, F. S. Teixeira

Publication date: 5 March 1995

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670171104

zbMATH Keywords

Fredholm propertyboundary-transmission problemsone-medium caseSobolev space settingtwo- media casetwo-dimensional Helmholtz equations in a quadrant

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Diffraction, scattering (78A45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (9)

Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip ⋮ DN-Scattering of a plane wave by wedges ⋮ A hybrid numerical-asymptotic boundary element method for high frequency scattering by penetrable convex polygons ⋮ Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems ⋮ A relation between convolution type operators on intervals in sobolev spaces ⋮ Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions ⋮ Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions ⋮ Wave diffraction by wedges having arbitrary aperture angle ⋮ Regularity properties and generalized inverses of delta-related operators

Cites Work

• Some interior and exterior boundary-value problems for the Helmholtz equation in a quadrant
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