Numerical solution of a generalized boundary value problem for the modified Helmholtz equation in two dimensions

DOI10.1016/j.matcom.2021.05.013OpenAlexW3160413125MaRDI QIDQ2666231

Gazi Özdemir, Olha Ivanyshyn Yaman

Publication date: 22 November 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2021.05.013

zbMATH Keywords

boundary integral equationsmodified Helmholtz equationgeneralized impedance boundary conditionhyper-singular kernels

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (1)

Investigation of an approximate solution of the integral equation of the exterior Dirichlet boundary value problem for the Helmholtz equation in the two-dimensional space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Determination of inner boundaries in modified Helmholtz inverse geometric problems using the method of fundamental solutions
• Singular boundary method for modified Helmholtz equations
• Fast integral equation methods for the modified Helmholtz equation
• Constructive method for solving a boundary value problem with impedance boundary condition for the Helmholtz equation
• On the numerical solution of a hypersingular integral equation in scattering theory
• On solving boundary value problems of modified Helmholtz equations by plane wave functions
• A collocation method for a hypersingular boundary integral equation via trigonometric differentiation
• An adaptive fast solver for the modified Helmholtz equation in two dimensions
• Integral Equation Methods in Inverse Obstacle Scattering with a Generalized Impedance Boundary Condition
• Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition
• Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method
• Linear integral equations

This page was built for publication: Numerical solution of a generalized boundary value problem for the modified Helmholtz equation in two dimensions