Convergence of Multi-Grid Iterations Applied to Difference Equations
From MaRDI portal
Publication:3856047
DOI10.2307/2006094zbMath0422.65020OpenAlexW4230438171MaRDI QIDQ3856047
Publication date: 1980
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2006094
boundary value problemsconvergence proofsmulti-grid iterationGauss-Seidel's iterationgeneral difference schemesLipschitzian regions
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items
An iterative aggregation-disaggregation algorithm for solving linear equations, A study of some multigrid ideas, Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs, The smoothing properties of the alternating direction implicit method in multigrid iterations, Parallel \(N\)-body simulation based on the PM and P3M methods using multigrid schemes in conjunction with generic approximate sparse inverses, Une méthode multigrille pour la solution des problèmes d'obstacle, Multigrid convergence: A brief trip down memory lane, Results of the eigenvalue problem for the plate equation, On the regularity of difference schemes, On the convergence of multi-grid methods with transforming smoothers, BoSSS: a package for multigrid extended discontinuous Galerkin methods, A local convergence proof for the iterative aggregation method, Multigrid methods on semi-structured grids, Additive multilevel preconditioners based on bilinear interpolation, matrix-dependent geometric coarsening and algebraic multigrid coarsening for second-order elliptic PDEs, Multigrid computations with the immersed boundary technique for multiphase flows, Geometric multigrid with applications to computational fluid dynamics, An iterative method for the Helmholtz equation, Discrete Sobolev spaces and regularity of elliptic difference schemes, On the multi-grid method applied to difference equations, Update-grid reanalysis method based on NS-FEM for 3D heat transfer problems, Generalized compact multi-grid, On multilevel iterative methods for optimization problems, A novel multi-grid assisted reanalysis for re-meshed finite element models, Theoretical bounds for algebraic multigrid performance: review and analysis, The contraction number of a multigrid method with mesh ratio 2 for solving Poisson's equation, A multi-grid method for variational inequalities in contact problems, Multi-grid methods for Hamilton-Jacobi-Bellman equations, The multigrid method for reservoir simulation, Generalized grid transfer operators for multigrid methods applied on Toeplitz matrices, Convergence Analysis of Inexact Two-Grid Methods: A Theoretical Framework
