References

C. Bernardi. Optimal finite-element interpolation on curved domains. SIAM Journal on Numerical Analysis 26, 1212–1240 (1989). ↩¹

J.-C. Nédélec. Acoustic and electromagnetic equations: integral representations for harmonic problems. Vol. 144 (Springer, 2001). ↩¹ ↩²

D. Colton and R. Kress. Integral equation methods in scattering theory (SIAM, 2013). ↩¹

M. Bebendorf. Hierarchical matrices (Springer, 2008). ↩¹

W. Hackbusch and others. Hierarchical matrices: algorithms and analysis. Vol. 49 (Springer, 2015). ↩¹

V. Rokhlin. Rapid solution of integral equations of classical potential theory. Journal of computational physics 60, 187–207 (1985). ↩¹

L. Greengard and V. Rokhlin. A fast algorithm for particle simulations. Journal of computational physics 73, 325–348 (1987). ↩¹

M. Guiggiani, G. Krishnasamy, T. J. Rudolphi and F. J. Rizzo. A general algorithm for the numerical solution of hypersingular boundary integral equations. Journal of Applied Mechanics 59, 604–614 (1992). ↩¹

L. M. Faria, C. Pérez-Arancibia and M. Bonnet. General-purpose kernel regularization of boundary integral equations via density interpolation. Computer Methods in Applied Mechanics and Engineering 378, 113703 (2021). ↩¹ ↩² ↩³

F.-K. Hebeker. Efficient boundary element methods for three-dimensional exterior viscous flows. Numerical Methods for Partial Differential Equations 2, 273–297 (1986). ↩¹ ↩²

M. Bonnet. Boundary Integral Equations Methods for Solids and Fluids (Wiley, 1995). ↩¹

D. Grieser. The plasmonic eigenvalue problem. Reviews in Mathematical Physics 26, 1450005 (2014). ↩¹ ↩²

S. A. Maier and others. Plasmonics: fundamentals and applications. Vol. 1 (Springer, 2007). ↩¹

L. M. Faria and F. Monteghetti. A complex-scaled boundary integral equation for the embedded eigenvalues and complex resonances of the Neumann-Poincaré operator on domains with corners, working paper or preprint. ↩¹

T. G. Anderson, M. Bonnet, L. M. Faria and C. Pérez-Arancibia. A general-purpose global regularization method for 3D volume integral operators, arXiv preprint arXiv:2606.13549 (2026). ↩¹ ↩² ↩³ ↩⁴ ↩⁵ ↩⁶ ↩⁷

T. G. Anderson, M. Bonnet, L. M. Faria and C. Pérez-Arancibia. Fast, high-order numerical evaluation of volume potentials via polynomial density interpolation. Journal of Computational Physics, 113091 (2024). ↩¹