Higher-order methods for the Poisson equation obtained with geometric multigrid and completed Richardson extrapolation

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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On the robustness of ILU smoothers on triangular grids
Analysis of algebraic multigrid parameters for two-dimensional steady-state heat diffusion equations
Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D Poisson equation
Comparison of second- and fourth-order discretizations for multigrid Poisson solvers
Repeated Richardson extrapolation applied to the two-dimensional Laplace equation using triangular and square grids
Highly accurate numerical solutions with repeated Richardson extrapolation for 2D Laplace equation
Completed repeated Richardson extrapolation for compressible fluid flows
A multigrid waveform relaxation method for solving the poroelasticity equations
Performance of geometric multigrid method for coupled two-dimensional systems in CFD
An extrapolation accelerated multiscale Newton-MG method for fourth-order compact discretizations of semilinear Poisson equations
Polynomial interpolation with repeated Richardson extrapolation to reduce discretization error in CFD
An efficient sixth-order solution for anisotropic Poisson equation with completed Richardson extrapolation and multiscale multigrid method
Multigrid method based on a space-time approach with standard coarsening for parabolic problems
Robust RRE technique for increasing the order of accuracy of SPH numerical solutions
An efficient extrapolation multigrid method based on a HOC scheme on nonuniform rectilinear grids for solving 3D anisotropic convection-diffusion problems
Completed Richardson extrapolation
Numerical Methods in Scientific Computing, Volume I
A Multigrid Tutorial, Second Edition
A review of algebraic multigrid
Geometric multigrid with applications to computational fluid dynamics
Performance of the multigrid method with time-stepping to solve 1D and 2D wave equations

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