Inexact and primal multilevel FETI‐DP methods: a multilevel extension and interplay with BDDC
From MaRDI portal
Publication:6071435
DOI10.1002/nme.7057arXiv2206.03425MaRDI QIDQ6071435
Publication date: 23 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.03425
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) Preconditioners for iterative methods (65F08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite and boundary element tearing and interconnecting solvers for multiscale problems
- Adaptive-multilevel BDDC and its parallel implementation
- An algebraic theory for primal and dual substructuring methods by constraints
- A three-level BDDC algorithm for a saddle point problem
- Optimal quadratic programming algorithms. With applications to variational inequalities
- On the equivalence of primal and dual substructuring preconditioners
- Multispace and multilevel BDDC
- Adaptive selection of face coarse degrees of freedom in the BDDC and the FETI-DP iterative substructuring methods
- BDDC and FETI-DP without matrices or vectors
- The mosaic of high performance domain decomposition methods for structural mechanics: formulation, interrelation and numerical efficiency of primal and dual methods.
- Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems
- Block triangular preconditioners for symmetric saddle-point problems
- A scalable FETI-DP algorithm with non-penetration mortar conditions on contact interface
- Nested BDDC for a saddle-point problem
- BDDC and FETI-DP under minimalist assumptions
- FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
- Parallel Implementation of Multilevel BDDC
- Finite Elements and Fast Iterative Solvers
- Balancing domain decomposition
- FETI-DP, BDDC, and block Cholesky methods
- Three-Level BDDC in Three Dimensions
- A Three-Level BDDC Algorithm for Mortar Discretizations
- Inexact FETI-DP methods
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
- Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term
- A Preconditioner for Substructuring Based on Constrained Energy Minimization
- A Note on Preconditioning for Indefinite Linear Systems
- Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
- Preconditioning the coarse problem of BDDC methods ‐ three-level, algebraic multigrid, and vertex-based preconditioners
- HSL_MI20 : An efficient AMG preconditioner for finite element problems in 3D
- Convergence of a balancing domain decomposition by constraints and energy minimization
- Multilevel Balancing Domain Decomposition by Constraints Deluxe Algorithms with Adaptive Coarse Spaces for Flow in Porous Media
- Three‐level BDDC in two dimensions