Finite difference schemes and partial differential equations
Finite difference schemes and partial differential equations
High accuracy solutions of incompressible Navier-Stokes equations
Journal of Computational Physics
A compact multigrid solver for convection-diffusion equations
Journal of Computational Physics
Comparison of second- and fourth-order discretizations for multigrid Poisson solvers
Journal of Computational Physics
Fast and high accuracy multigrid solution of the three dimensional Poisson equation
Journal of Computational Physics
High accuracy multigrid solution of the 3D convection-diffusion equation
Applied Mathematics and Computation
Mathematics and Computers in Simulation
Journal of Computational and Applied Mathematics
Journal of Computational Physics
High-order compact solvers for the three-dimensional Poisson equation
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Journal of Computational Physics
Computers & Mathematics with Applications
A convergent 2D finite-difference scheme for the Dirac-Poisson system and the simulation of graphene
Journal of Computational Physics
Hi-index | 31.46 |
A fourth-order compact difference discretization scheme with unequal meshsizes in different coordinate directions is employed to solve a three-dimensional (3D) Poisson equation on a cubic domain. Two multgrid methods are developed to solve the resulting sparse linear systems. One is to use the full-coarsening multigrid method with plane Gauss-Seidel relaxation, which uses line Gauss-Seidel relaxation to compute each planewise solution. The other is to construct a partial semi-coarsening multigrid method with the traditional point or plane Gauss-Seidel relaxations. Numerical experiments are conducted to test the computed accuracy of the fourth-order compact difference scheme and the computational efficiency of the multigrid methods with the fourth-order compact difference scheme.