92 citations · 391 across the 10 of their papers we have counts for
4 papers · 1 filter
Spectrally accurate solutions to inhomogeneous elliptic PDE in smooth geometries using function intension
David B. Stein
We present a spectrally accurate embedded boundary method for solving linear, inhomogeneous, elliptic partial differential equations (PDE) in general smooth geometries, focusing in…
A fast Chebyshev method for the Bingham closure with application to active nematic suspensions
Scott Weady, Michael J. Shelley, David B. Stein
Continuum kinetic theories provide an important tool for the analysis and simulation of particle suspensions. When those particles are anisotropic, the addition of a particle orien…
Immersed Boundary Smooth Extension (IBSE): A high-order method for solving incompressible flows in arbitrary smooth domains
David B. Stein, Robert D. Guy, Becca Thomases
The Immersed Boundary method is a simple, efficient, and robust numerical scheme for solving PDE in general domains, yet for fluid problems it only achieves first-order spatial acc…
Immersed Boundary Smooth Extension: A high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods
David B. Stein, Robert D. Guy, Becca Thomases
The Immersed Boundary method is a simple, efficient, and robust numerical scheme for solving PDE in general domains, yet it only achieves first-order spatial accuracy near embedded…