The 2D Dirichlet problem for the propagative Helmholtz equation in an exterior domain with cracks and singularities at the edges

DOI10.1155/2012/340310zbMath1251.35023OpenAlexW2145644079WikidataQ58705746 ScholiaQ58705746MaRDI QIDQ456485

P. A. Krutitskii

Publication date: 16 October 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/340310

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Weak solutions to PDEs (35D30)

Related Items (2)

The Dirichlet problem for the equation \(\Delta u - k^2u = 0\) in the exterior of nonclosed Lipschitz surfaces ⋮ Dirichlet problem for the Helmholtz equation in an exterior two-dimensional domain with cuts without matching conditions at the cut endpoints

Cites Work

• Mathematical methods in electro-magneto-elasticity
• Dirichlet problem for the static elasticity equations outside curvilinear cracks on the plane
• Dirichlet's problem for the Helmholtz equation outside cuts in a plane
• Method of interior boundaries in a mixed problem of acoustic scattering
• Numerical treatment of a skew-derivative problem for the Laplace equation in the exterior of an open arc
• On a uniquely solvable integral equation in a mixed Dirichlet-Neumann problem of acoustic scattering
• A 2.5D TRACTION BOUNDARY ELEMENT METHOD FORMULATION APPLIED TO THE STUDY OF WAVE PROPAGATION IN A FLUID LAYER HOSTING A THIN RIGID BODY
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