High-order compact difference scheme and multigrid method for solving the 2D elliptic problems

DOI10.1155/2018/7831731zbMath1427.65333OpenAlexW2808705902MaRDI QIDQ1721429

Yongbin Ge, Yan Wang

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/7831731

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

Verification of convergence rates of numerical solutions for parabolic equations, Benchmark problems for the numerical schemes of the phase-field equations

Uses Software

• Wesseling

Cites Work

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• Fast and high accuracy multiscale multigrid method with multiple coarse grid updating strategy for the 3D convection-diffusion equation
• Multigrid method based on the transformation-free HOC scheme on nonuniform grids for 2D convection diffusion problems
• Multigrid method and fourth-order compact scheme for 2D Poisson equation with unequal mesh-size discretization
• A high order finite difference method with Richardson extrapolation for 3D convection diffusion equation
• High-order compact exponential finite difference methods for convection-diffusion type problems
• Multigrid method and fourth-order compact difference discretization scheme with unequal meshsizes for 3D Poisson equation
• The contraction number of a multigrid method for solving the Poisson equation
• The hierarchical basis multigrid method for convection-diffusion equations
• On the multi-grid method applied to difference equations
• Fast and high accuracy multigrid solution of the three dimensional Poisson equation
• Comparison of second- and fourth-order discretizations for multigrid Poisson solvers
• A compact multigrid solver for convection-diffusion equations
• Preconditioned iterative methods and finite difference schemes for convection-diffusion
• A family of fourth-order difference schemes on rotated grid for two-dimensional convection-diffusion equation
• A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation
• High-order compact scheme with multigrid local mesh refinement procedure for convection-diffusion problems.
• A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation
• A transformation-free HOC scheme and multigrid method for solving the 3D Poisson equation on nonuniform grids
• A new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problems
• High-order compact solvers for the three-dimensional Poisson equation
• Multigrid convergence for second-order elliptic problems with smooth complex coefficients
• Fourth-order exponential finite difference methods for boundary value problems of convective diffusion type
• A single cell high order scheme for the convection-diffusion equation with variable coefficients
• High-order difference schemes for 2D elliptic and parabolic problems with mixed derivatives
• A survey of some second-order difference schemes for the steady-state convection-diffusion equation
• MULTIGRID TECHNIQUES FOR THE NUMERICAL SOLUTION OF THE DIFFUSION EQUATION
• High-order difference schemes for two-dimensional elliptic equations
• An efficient multigrid scheme for elliptic equations with discontinuous coefficients
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• An efficient multigrid poisson solver
• On convergence and performance of iterative methods with fourth-order compact schemes
• A high-order finite difference discretization strategy based on extrapolation for convection diffusion equations
• A transformation-free HOC scheme for steady convection–diffusion on non-uniform grids
• High‐order approximation of 2D convection‐diffusion equation on hexagonal grids
• High accuracy multigrid solution of the 3D convection-diffusion equation
• High accuracy iterative solution of convection diffusion equation with boundary layers on nonuniform grids