Boundary integral methods for wedge diffraction problems: the angle 2π/n, Dirichlet and Neumann conditions

DOI10.7153/oam-05-01zbMath1216.35013OpenAlexW2314469832MaRDI QIDQ5390284

Torsten Ehrhardt, Frank-Olme Speck, A. P. Nolasco

Publication date: 1 April 2011

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/abstracts/oam-05-01-abs.pdf

zbMATH Keywords

boundary value problemHelmholtz equationpseudodifferential operatorwedge diffraction problemhalf-line potentialSommerfeld potentialRawlins factorization

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Boundary value problems for second-order elliptic equations (35J25) Diffraction, scattering (78A45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Solutions to PDEs in closed form (35C05)

Related Items (10)

Mixed boundary value problems for the Laplace–Beltrami equation ⋮ On the Sum of Contractive Type of Mappings I: Maps on the Same Class ⋮ Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain ⋮ A class of interface problems for the Helmholtz equation in Rn ⋮ Mixed impedance boundary value problems for the Laplace-Beltrami equation ⋮ On the Reduction of Linear Systems Related to Boundary Value Problems ⋮ Wave diffraction by wedges having arbitrary aperture angle ⋮ From Sommerfeld Diffraction Problems to Operator Factorisation ⋮ Diffraction from a three-quarter-plane using an abstract Babinet principle ⋮ Diffraction from Polygonal-conical Screens, an Operator Approach

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