2 papers
math.NA2024
Fast and robust method for screened Poisson lattice Green's function using asymptotic expansion and Fast Fourier Transform
Wei Hou, Tim Colonius
We study the lattice Green's function (LGF) of the screened Poisson equation on a two-dimensional rectangular lattice. This LGF arises in numerical analysis, random walks, solid-st…
physics.flu-dyn2024
An adaptive lattice Green's function method for external flows with two unbounded and one homogeneous directions
Wei Hou, Tim Colonius
We solve the incompressible Navier-Stokes equations using a lattice Green's function (LGF) approach, including immersed boundaries (IB) and adaptive mesh refinement (AMR), for exte…