DOI10.1006/jcph.1993.1141zbMath0785.65091OpenAlexW1985313219MaRDI QIDQ686589
Weizhang Huang, David M. Sloan
Publication date: 13 October 1993
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.1993.1141
Chebyshev-Fourier collocation spectral method for the solution of swirling flow,
Spectral collocation schemes on the unit disc,
A formulation of Navier-Stokes problem in cylindrical coordinates applied to the 3D entry jet in a duct,
A rational spectral collocation method for third-order singularly perturbed problems,
Analyzing and visualizing a discretized semilinear elliptic problem with Neumann boundary conditions,
Unnamed Item,
A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry,
A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries,
A Fourier-Legendre spectral element method in polar coordinates,
Finite differences for coarse azimuthal discretization and for reduction of effective resolution near origin of cylindrical flow equations,
A 3D pseudospectral method for cylindrical coordinates. Application to the simulations of rotating cavity flows,
Splitting-based schemes for numerical solution of nonlinear diffusion equations on a sphere,
Numerical treatment of polar coordinate singularities,
A spectral solver for the Navier–Stokes equations in the velocity–vorticity formulation,
Spectral radial basis functions for full sphere computations,
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk,
Droplet dynamics on chemically heterogeneous substrates,
Efficient spectral-Galerkin methods for polar and cylindrical geometries,
An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. II: Three-dimensional cases,
A computational method for solving the branched channel flow problem,
A fast iterative solver for the variable coefficient diffusion equation on a disk,
Pseudospectral solution of linear evolution equations of second order in space and time on unstructured quadrilateral subdomain topologies,
Application of the pseudo-spectral method to 2D eigenvalue problems in elasticity,
Fast direct solvers for Poisson equation on 2D polar and spherical geometries,
Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions,
Pseudo spectral methods applied to problems in elasticity,
Brinkman equation for a corrugated pipe using a spectral-Galerkin method,
Finite difference method for incompressible Navier--Stokes equations in arbitrary orthogonal curvilinear coordinates,
Radial collocation methods for the onset of convection in rotating spheres,
Inverse matrices for pseudospectral differentiation operators in polar coordinates by stepwise integrations and low-rank updates,
A direct spectral collocation Poisson solver in polar and cylindrical coordinates,
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,
Treatment of polar grid singularities in the bi-cubic Hermite-Bézier approximations: isoparametric finite element framework,
A highly accurate technique for the treatment of flow equations at the polar axis in cylindrical coordinates using series expansions.
