Multigrid for an HDG method
B Cockburn, O Dubois… - IMA Journal of …, 2014 - ieeexplore.ieee.org
We analyse the convergence of a multigrid algorithm for the hybridizable discontinuous
Galerkin (HDG) method for diffusion problems. We prove that a nonnested multigrid V-cycle …
Galerkin (HDG) method for diffusion problems. We prove that a nonnested multigrid V-cycle …
[图书][B] Robust algebraic multilevel methods and algorithms
J Kraus, S Margenov - 2009 - degruyter.com
Bibliography Page 1 Bibliography [1] M. Abramowitz and IA Stegun, Handbook of Mathematical
Functions. Dover Publications, New York, 1965, Ninth Printing 1972. [2] B. Achchab and JF …
Functions. Dover Publications, New York, 1965, Ninth Printing 1972. [2] B. Achchab and JF …
A FETI-DP preconditioner for a composite finite element and discontinuous Galerkin method
In this paper a Nitsche-type discretization based on a discontinuous Galerkin (DG) method
for an elliptic two-dimensional problem with discontinuous coefficients is considered. The …
for an elliptic two-dimensional problem with discontinuous coefficients is considered. The …
Robust multigrid for high-order discontinuous Galerkin methods: A fast Poisson solver suitable for high-aspect ratio Cartesian grids
J Stiller - Journal of computational physics, 2016 - Elsevier
We present a polynomial multigrid method for nodal interior penalty and local discontinuous
Galerkin formulations of the Poisson equation on Cartesian grids. For smoothing we …
Galerkin formulations of the Poisson equation on Cartesian grids. For smoothing we …
Nonuniformly weighted Schwarz smoothers for spectral element multigrid
J Stiller - Journal of Scientific Computing, 2017 - Springer
A hybrid Schwarz/multigrid method for spectral element solvers to the Poisson equation in
R^ 2 R 2 is presented. It extends the additive Schwarz method studied by Lottes and Fischer …
R^ 2 R 2 is presented. It extends the additive Schwarz method studied by Lottes and Fischer …
Fast auxiliary space preconditioners for linear elasticity in mixed form
A block-diagonal preconditioner with the minimal residual method and an approximate block-
factorization preconditioner with the generalized minimal residual method are developed for …
factorization preconditioner with the generalized minimal residual method are developed for …
[HTML][HTML] A two-level algorithm for the weak Galerkin discretization of diffusion problems
B Li, X Xie - Journal of Computational and Applied Mathematics, 2015 - Elsevier
This paper analyzes a two-level algorithm for the weak Galerkin (WG) finite element
methods based on local Raviart–Thomas (RT) and Brezzi–Douglas–Marini (BDM) mixed …
methods based on local Raviart–Thomas (RT) and Brezzi–Douglas–Marini (BDM) mixed …
[PDF][PDF] A BDDC algorithm for second-order elliptic problems with hybridizable discontinuous Galerkin discretizations
X Tu, B Wang - Electronic Transactions on Numerical Analysis, 2016 - etna.math.kent.edu
A balancing domain decomposition by constraints (BDDC) algorithm is applied to the linear
system arising from a hybridizable discontinuous Galerkin (HDG) discretization of the …
system arising from a hybridizable discontinuous Galerkin (HDG) discretization of the …
Multilevel preconditioners for discontinuous Galerkin approximations of elliptic problems with jump coefficients
We introduce and analyze two-level and multilevel preconditioners for a family of Interior
Penalty (IP) discontinuous Galerkin (DG) discretizations of second order elliptic problems …
Penalty (IP) discontinuous Galerkin (DG) discretizations of second order elliptic problems …
Algebraic multilevel iteration method for lowest order Raviart–Thomas space and applications
An optimal order algebraic multilevel iterative method for solving system of linear algebraic
equations arising from the finite element discretization of certain boundary value problems …
equations arising from the finite element discretization of certain boundary value problems …