An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces
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Publication:349389
DOI10.1016/j.jcp.2014.04.053zbMath1349.65709arXiv1310.4715OpenAlexW2165016898MaRDI QIDQ349389
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.4715
boundary integral equationHelmholtz equationhigh order discretizationsingular kernelacoustic resonatorbody of revolution
Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05)
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Cites Work
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- Solving integral equations on piecewise smooth boundaries using the RCIP method: a tutorial
- A high-order Nyström discretization scheme for boundary integral equations defined on rotationally symmetric surfaces
- High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane
- Exact Fourier expansion in cylindrical coordinates for the three-dimensional Helmholtz-Green function
- Integral equation methods for elliptic problems with boundary conditions of mixed type
- Evaluation of Legendre functions of argument greater than one
- Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems
- Asymptotic rate of quantum ergodicity in chaotic Euclidean billiards
- Behaviour of boundary functions for quantum billiards
- Accurate and Efficient Computation of the Modal Green's Function Arising in the Electric-Field Integral Equation for a Body of Revolution
- Overcoming Low-Frequency Breakdown of the Magnetic Field Integral Equation
- An Accurate Boundary Value Problem Solver Applied to Scattering From Cylinders With Corners
- Fast Computation of High‐Frequency Dirichlet Eigenmodes via Spectral Flow of the Interior Neumann‐to‐Dirichlet Map
- Numerical Methods for Special Functions
- Inverse acoustic and electromagnetic scattering theory
- Numerical quadratures for singular and hypersingular integrals
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