The jump problem for the Helmholtz equation and singularities at the edges

DOI10.1016/S0893-9659(99)00211-6zbMath0957.35038OpenAlexW2032964281MaRDI QIDQ1588782

P. A. Krutitskii

Publication date: 4 December 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00211-6

zbMATH Keywords

potential theoryboundary value problemsacoustic scatteringcracksexplicit solutionscreenscluts

Mathematics Subject Classification ID

Related Items (11)

Enriched \(P_1\)-conforming methods for elliptic interface problems with implicit jump conditions ⋮ Generalized solvability and optimization of a parabolic system with a discontinuous solution ⋮ Construction of discontinuous enrichment functions for enriched or generalized FEM's for interface elliptic problems in 1D ⋮ High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions ⋮ Approximate method for solving the boundary value problem for a parabolic equation with inhomogeneous transmission conditions of nonideal contact type ⋮ Generalization of the Neumann problem to harmonic functions outside cuts on the plane ⋮ A generalization of the Neumann problem for the Helmholtz equation outside cuts on the plane ⋮ The harmonic dirichlet problem for a cracked domain with jump conditions on cracks ⋮ The jump problem for the Laplace equation ⋮ Neumann and Robin problems in a cracked domain with jump conditions on cracks ⋮ The Neumann problem in a 2-D exterior domain with cuts and singularities at the tips

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Neumann problem on wave propagation in a 2-D external domain with cuts
• The Neumann problem for the 2-D Helmholtz equation in a multiply connected domain with cuts
• Dirichlet's problem for the Helmholtz equation outside cuts in a plane
• Neumann's problem for the Helmholtz equation outside cuts in the plane
• Boundary integral equations for mixed Dirichlet, Neumann and transmission problems
• Transmission problems for the vector Helmholtz equation
• A boundary integral equation method for an inverse problem related to crack detection
• THE ANGULAR POTENTIAL AND SOME OF ITS APPLICATIONS
• The Dirichlet Problem for the 2‐D Helmholtz Equation in a Multiply Connected Domain with Cuts
• Wave propagation in a 2-D external domain with cuts
• An Existence Theorem for the Reduced Wave Equation

This page was built for publication: The jump problem for the Helmholtz equation and singularities at the edges