2 papers
math.NA2026
Convergence of the PML-BIE Method for Acoustic Scattering in an Impedance Half-Space
Wangtao Lu
The perfectly matched layer-based boundary integral equation (PML-BIE) method (Lu et al., \emph{SIAM J. Appl. Math.} 78 (2018)) has become an effective tool for wave scattering pro…
math-ph2026
Existence of Friedrich-Wintgen Bound States in the Continuum: Cavity with a Thin Waveguide Opening
Jiaxin Zhou, Wangtao Lu, Ya Yan Lu
Bound states in the continuum (BICs) are localized states embedded within a continuum of propagating waves. Perturbations that disrupt BICs typically induce ultra-strong resonances…