Multilevel preconditioning for the finite volume method
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Publication:2894513
DOI10.1090/S0025-5718-2012-02582-8zbMath1250.65132OpenAlexW2090813019MaRDI QIDQ2894513
Shi Shu, Yonghai Li, Qingsong Zou, Yuesheng Xu
Publication date: 29 June 2012
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-2012-02582-8
finite volume methodnumerical examplesdiscontinuous coefficientspreconditioningelliptic boundary value problemsmultilevel methodcondition numbersmultilevel preconditionerswavelet preconditioners
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) Preconditioners for iterative methods (65F08) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (14)
A family of quadratic finite volume method for solving the Stokes equation ⋮ Modified hierarchy basis for solving singular boundary value problems ⋮ Robust BDDC algorithms for finite volume element methods ⋮ \(L^2\) error estimates for a family of cubic finite volume methods on triangular meshes ⋮ JASMIN-based Two-dimensional Adaptive Combined Preconditioner for Radiation Diffusion Equations in Inertial Fusion Research ⋮ Admissible Regions for Higher-Order Finite Volume Method Grids ⋮ Some recent advances on vertex centered finite volume element methods for elliptic equations ⋮ A Two-Grid Finite-Volume Method for the Schrodinger Equation ⋮ Substructuring Preconditioners with a Simple Coarse Space for 2-D 3-T Radiation Diffusion Equations ⋮ Higher-order finite volume methods. II: Inf-sup condition and uniform local ellipticity ⋮ Analysis of linear and quadratic simplicial finite volume methods for elliptic equations ⋮ $L^2$ Error Estimates for High Order Finite Volume Methods on Triangular Meshes ⋮ Conditioning of the finite volume element method for diffusion problems with general simplicial meshes ⋮ A construction of higher-order finite volume methods
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