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math.NA2026
Infinite-lattice discrete Calderón projection via the lattice Green's function for active noise shielding and confinement
Qing Xia
We construct an infinite-lattice discrete Calderón projection for the Helmholtz equation by convolution with the lattice Green's function (LGF), and apply it to active noise shield…
math.NA2026
A penalty-free bulk--surface CutFEM stabilized by lattice Green's function extensions
Qing Xia
We introduce a penalty-free cut finite element method for surface elliptic problems coupled to a harmonic bulk field on a Cartesian grid. Instead of adding a stabilization term, th…