A generalized BPX multigrid framework covering nonnested V-cycle methods
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Publication:3420425
DOI10.1090/S0025-5718-06-01897-7zbMath1121.65126OpenAlexW2041169191MaRDI QIDQ3420425
Shaoqin Gao, Roger C. E. Tan, Shangyou Zhang, Huo-Yuan Duan
Publication date: 2 February 2007
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-06-01897-7
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)
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Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method, Homogeneous multigrid for embedded discontinuous Galerkin methods, Optimal Geometric Multigrid Preconditioners for HDG-P0 Schemes for the reaction-diffusion equation and the Generalized Stokes equations, Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods, Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems, \(V\)-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes, A convergent multigrid cycle for the hybridized mixed method, BPX Preconditioner for Nonstandard Finite Element Methods for Diffusion Problems, A two-level algorithm for the weak Galerkin discretization of diffusion problems
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