Pole condition for singular problems: the pseudospectral approximation

Finite Difference Solutions of Incompressible Flow Problems with Corner Singularities

Journal of Scientific Computing

An efficient spectral-projection method for the Navier--Stokes equations in cylindrical geometries

Journal of Computational Physics

A highly accurate technique for the treatment of flow equations at the polar axis in cylindrical coordinates using series expansions

Journal of Computational Physics

Spectral collocation schemes on the unit disc

Journal of Computational Physics

A formulation of Navier-Stokes problem in cylindrical coordinates applied to the 3D entry jet in a duct

Journal of Computational Physics

Pseudospectral solution of linear evolution equations of second order in space and time on unstructured quadrilateral subdomain topologies

Journal of Computational Physics

A fast iterative solver for the variable coefficient diffusion equation on a disk

Journal of Computational Physics

Pseudo Spectral Methods Applied to Problems in Elasticity

Journal of Scientific Computing

Finite-difference method for incompressible Navier-Stokes equations in arbitrary orthogonal curvilinear coordinates

Journal of Computational Physics

Spectral radial basis functions for full sphere computations

Journal of Computational Physics

Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk

Journal of Computational Physics

Efficient spectral-Galerkin methods for polar and cylindrical geometries

Applied Numerical Mathematics

Brinkman equation for a corrugated pipe using a spectral-Galerkin method

Computers & Mathematics with Applications

Finite differences for coarse azimuthal discretization and for reduction of effective resolution near origin of cylindrical flow equations

Journal of Computational Physics

Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier Series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions

Journal of Computational Physics

A Fourier-Legendre spectral element method in polar coordinates

Journal of Computational Physics

A 3D pseudospectral method for cylindrical coordinates. Application to the simulations of rotating cavity flows

Journal of Computational Physics