Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems for diffusion problems
DOI10.1016/j.cam.2014.06.028zbMath1297.65036OpenAlexW2115869840MaRDI QIDQ457705
Publication date: 29 September 2014
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2014.06.028
conjugate gradient methoddeflationdiffusion problemssymmetric interior penalty Galerkin discretizationtwo-level preconditioning
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
- Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods
- Fast linear solver for diffusion problems with applications to pressure computation in layered domains
- A multilevel discontinuous Galerkin method
- Estimation of penalty parameters for symmetric interior penalty Galerkin methods
- A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation
- Algebraic analysis of two-grid methods: The nonsymmetric case
- Smoothed Aggregation Multigrid for the Discontinuous Galerkin Method
- On 2D elliptic discontinuous Galerkin methods
- Multilevel Block Factorization Preconditioners
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Two‐sided bounds on the convergence rate of two‐level methods
- Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case
- On two‐grid convergence estimates
- Two‐level preconditioning of discontinuous Galerkin approximations of second‐order elliptic equations
- A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity
- Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier–Stokes Equations
- Iterative Methods by Space Decomposition and Subspace Correction
- Iterative Solution Methods
- Raytcho Lazarov - 60
- Two-Level Fourier Analysis of a Multigrid Approach for Discontinuous Galerkin Discretization
- Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems
- Convergence of Multigrid Algorithms for Interior Penalty Methods
- Performance of Discontinuous Galerkin Methods for Elliptic PDEs
- Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems
- ARMS: an algebraic recursive multilevel solver for general sparse linear systems
This page was built for publication: Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems for diffusion problems