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math.NA2025
Unfitted Lattice Green's Function Method for Exterior Scattering in Complex Geometry
Siyuan Wang, Qing Xia
This paper develops a finite-difference analogue of the boundary integral/element method for the numerical solution of two-dimensional exterior scattering from scatterers of arbitr…
math.NA2025
A geometrically robust unfitted boundary algebraic equation method based on discrete potentials and local basis functions
Qing Xia
We present an unfitted boundary algebraic equation (BAE) method for solving elliptic partial differential equations in complex geometries. The method employs lattice Green's functi…
math.NA2025
Unfitted boundary algebraic equation method based on difference potentials and lattice Green's function in 3D
Qing Xia
This work presents an unfitted boundary algebraic equation (BAE) method for solving three-dimensional elliptic partial differential equations on complex geometries using finite dif…