16 citations · 33 across the 3 of their papers we have counts for
3 papers
math.NA2007★ 16 cited
Poloidal-toroidal decomposition in a finite cylinder. II. Discretization, regularization and validation
Piotr Boronski, Laurette S. Tuckerman
The Navier-Stokes equations in a finite cylinder are written in terms of poloidal and toroidal potentials in order to impose incompressibility. Regularity of the solutions is ensur…
math.NA2007★ 1 cited
Spectral method for matching exterior and interior elliptic problems
Piotr Boronski
A spectral method is described for solving coupled elliptic problems on an interior and an exterior domain. The method is formulated and tested on the two-dimensional interior Pois…
math.NA2007★ 16 cited
Poloidal-toroidal decomposition in a finite cylinder. I. Influence matrices for the magnetohydrodynamic equations
Piotr Boronski, Laurette S. Tuckerman
The Navier-Stokes equations and magnetohydrodynamics equations are written in terms of poloidal and toroidal potentials in a finite cylinder. This formulation insures that the velo…