A new FV scheme and fast cell-centered multigrid solver for 3D anisotropic diffusion equations with discontinuous coefficients

DOI10.1016/j.jcp.2021.110794OpenAlexW3209032409MaRDI QIDQ2136479

Hongling Hu, Yunlong Yu, Xiaoxin Wu, Ke-jia Pan, Zhilin Li

Publication date: 10 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110794

zbMATH Keywords

finite volume methoddiscontinuous coefficientsdiffusion equationRichardson extrapolationanisotropic coefficientscell-centered multigrid method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)

Related Items (7)

An extrapolation accelerated multiscale Newton-MG method for fourth-order compact discretizations of semilinear Poisson equations ⋮ A new finite volume scheme with gradient transfer method for solving diffusion problems on the distorted hexahedral meshes ⋮ A linearly implicit scheme and fast multigrid solver for 3D FitzHugh-Nagumo equation ⋮ An efficient extrapolation multigrid method based on a HOC scheme on nonuniform rectilinear grids for solving 3D anisotropic convection-diffusion problems ⋮ A fast sine transform accelerated high-order finite difference method for parabolic problems over irregular domains ⋮ An efficient red-black skewed extrapolation cascadic multigrid method for two-dimensional Poisson equation ⋮ An Efficient EXCMG-Newton Method Combined with Fourth-Order Compact Schemes for Semilinear Poisson Equations

Cites Work

• Unnamed Item
• Unnamed Item
• Multigrid method for fractional diffusion equations
• Multigrid method for elliptic equations with anisotropic discontinuous coefficients
• A finite volume spectral element method for solving magnetohydrodynamic (MHD) equations
• Algebraic multigrid (AMG): Experiences and comparisons
• Multi-grid solution of three-dimensional problems with discontinuous coefficients
• Multigrid solution of high order discretisation for three-dimensional biharmonic equation with Dirichlet boundary conditions of second kind
• A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media
• Cell-centered multigrid for interface problems
• Vertex-centered and cell-centered multigrid for interface problems
• The cascadic multigrid method for elliptic problems
• Second order finite-difference ghost-point multigrid methods for elliptic problems with discontinuous coefficients on an arbitrary interface
• A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-Cartesian grids
• A new extrapolation cascadic multigrid method for three dimensional elliptic boundary value problems
• Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations
• On the convergence of an extrapolation cascadic multigrid method for elliptic problems
• A monotone finite volume scheme for diffusion equations on general non-conforming meshes
• A simple cell-centered multigrid method for 3D interface problems
• Multigrid preconditioners for anisotropic space-fractional diffusion equations
• An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients
• An extrapolation cascadic multigrid method combined with a fourth-order compact scheme for 3D Poisson equation
• Analysis of extrapolation cascadic multigrid method (EXCMG)
• Sharp interface Cartesian grid method. III: Solidification of pure materials and binary solutions
• A fast and efficient two-grid method for solving \(d\)-dimensional Poisson equations
• Small-stencil 3D schemes for diffusive flows in porous media
• UNIFORM CONVERGENT MULTIGRID METHODS FOR ELLIPTIC PROBLEMS WITH STRONGLY DISCONTINUOUS COEFFICIENTS
• A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
• Two Multigrid Methods for Three-Dimensional Problems with Discontinuous and Anisotropic Coefficients
• The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
• A Semicoarsening Multigrid Method for Elliptic Partial Differential Equations with Highly Discontinuous and Anisotropic Coefficients
• Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations
• V-Cycle Multigrid for Cell-Centered Finite Differences
• An FE-FD Method for Anisotropic Elliptic Interface Problems
• A Finite Volume Scheme for Three-Dimensional Diffusion Equations
• On Local Fourier Analysis of Multigrid Methods for PDEs with Jumping and Random Coefficients

This page was built for publication: A new FV scheme and fast cell-centered multigrid solver for 3D anisotropic diffusion equations with discontinuous coefficients