High order layer potential evaluation library in R^2
Date: March 6, 2024
Version 0.1
Copyright (C) 2010-2012: Zydrunas Gimbutas
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*_dr.f - driver files *.make - make files
to compile a driver, please type 'make -f filename.make', e.g,
make -f hqsuppquad.make
chunkmatc.f - 2d discretizer + geometry support routines
inter2dn.f - interaction kernel library, Laplace and Helmholtz equations in R^2
hqsuppquad.f - auxiliary quadratures for smooth, log, hilbert, and hypersingular kernels (up to 10th order)
cadavect.f - adaptive integration on a segment (smooth functions)
test8.f - Dirichlet solver for the Helmholtz equation in R^2, first kind integral equation. Put a unit charge inside/outside the circle, compare the direct potential with the potential produced by the solution charge density. Check for the resonances.
test8dn.f - Dirichlet solver for the Helmholtz equation in R^2, first kind integral equation. Put a unit charge inside/outside the circle, compare the direct potential with the potential produced by the solution charge density. Check for the resonances. Check Dirichlet-Neumann map.
test9.f - Dirichlet solver for the Helmholtz equation in R^2, second kind integral equation. Put a unit charge inside/outside the circle, compare the direct potential with the potential produced by the solution charge density. Check for the resonances.
test9dn.f - Dirichlet solver for the Helmholtz equation in R^2, second kind integral equation. Put a unit charge inside/outside the circle, compare the direct potential with the potential produced by the solution charge density. Check for the resonances. Check Dirichlet-Neumann map (requires hypersingular layer evaluation)
matlab/
hqsuppquad*.m - auxiliary quadratures for smooth, log, hilbert, and hypersingular kernels (1, 2, 3, 4, 5, 6, 8, and 10th order) for all Gauss-Legendre support nodes