Dirichlet-to-Neumann boundary conditions for multiple scattering in waveguides

DOI10.1016/j.camwa.2019.09.026zbMath1443.78010OpenAlexW2981652956WikidataQ126985044 ScholiaQ126985044MaRDI QIDQ2004629

Youngho Min, Seungil Kim

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.09.026

zbMATH Keywords

Helmholtz equationmultiple scatteringwaveguidemultiple Dirichlet-to-Neumann condition

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50)

Related Items

Solution of three-dimensional multiple scattering problems by the method of difference potentials

Uses Software

• deal.ii

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Adaptive perfectly matched layer method for multiple scattering problems
• Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis
• The DtN nonreflecting boundary condition for multiple scattering problems in the half-plane
• Dirichlet-to-Neumann boundary conditions for multiple scattering problems
• Coupling of Dirichlet-to-Neumann boundary condition and finite difference methods in curvilinear coordinates for multiple scattering
• Inverse acoustic and electromagnetic scattering theory.
• Theory and practice of finite elements.
• Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
• An a priori error estimate of the Dirichlet-to-Neumann finite element method for multiple scattering problems
• A cavity problem for Maxwell's equations
• Finite element simulations of multiple scattering in acoustic waveguides
• Analysis of Direct and Inverse Cavity Scattering Problems
• Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
• Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions
• Numerical Approximation Methods for Elliptic Boundary Value Problems
• deal.II—A general-purpose object-oriented finite element library
• Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation
• FRACTIONAL ORDER SOBOLEV SPACES FOR THE NEUMANN LAPLACIAN AND THE VECTOR LAPLACIAN
• An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems