A multilevel FETI-DP method and its performance for problems with billions of degrees of freedom
DOI10.1002/nme.5938zbMATH Open1548.65341WikidataQ129423314 ScholiaQ129423314MaRDI QIDQ6555201
Jari Toivanen, Philip Avery, Charbel Farhat
Publication date: 14 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
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) Parallel numerical computation (65Y05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A fully asynchronous multifrontal solver using distributed dynamic scheduling
- The FETI family of domain decomposition methods for inequality-constrained quadratic programming: application to contact problems with conforming and nonconforming interfaces
- Multispace and multilevel BDDC
- On the use of inexact subdomain solvers for BDDC algorithms
- Adaptive BDDC in three dimensions
- Extending substructure based iterative solvers to multiple load and repeated analyses
- The two-level FETI method for static and dynamic plate problems I: An optimal iterative solver for biharmonic systems
- The two-level FETI method II: Extension to shell problems, parallel implementation and performance results
- A scalable FETI-DP algorithm for a coercive variational inequality
- A dual-primal FETI method for incompressible Stokes equations
- FETI-DP: A dual-prime unified FETI method. I: A faster alternative to the two-level FETI method
- A Nonoverlapping Domain Decomposition Method for Incompressible Stokes Equations with Continuous Pressures
- A dual-primal FETI method for solving a class of fluid-structure interaction problems in the frequency domain
- Balancing domain decomposition
- A FETI-DP method for the parallel iterative solution of indefinite and complex-valued solid and shell vibration problems
- An approximate BDDC preconditioner
- Dual-primal FETI methods for linear elasticity
- Direct Methods for Sparse Linear Systems
- Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations
- Three-Level BDDC in Three Dimensions
- FETI-DPH: A DUAL-PRIMAL DOMAIN DECOMPOSITION METHOD FOR ACOUSTIC SCATTERING
- Inexact FETI-DP methods
- A FETI‐preconditioned conjugate gradient method for large‐scale stochastic finite element problems
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- A unified framework for accelerating the convergence of iterative substructuring methods with Lagrange multipliers
- A Preconditioner for Substructuring Based on Constrained Energy Minimization
- A hybrid approach to 3‐level FETI
- A Vector Dual-Primal Finite Element Tearing and Interconnecting Method for Solving 3-D Large-Scale Electromagnetic Problems
- On the convergence of a dual-primal substructuring method
Related Items (2)
This page was built for publication: A multilevel FETI-DP method and its performance for problems with billions of degrees of freedom