Globalization of nonlinear FETI-DP domain decomposition methods using an SQP approach
DOI10.1007/s10013-022-00567-2zbMath1502.65207OpenAlexW4283450680MaRDI QIDQ2081571
Oliver Rheinbach, Stephan Köhler
Publication date: 13 October 2022
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10013-022-00567-2
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical optimization and variational techniques (65K10) Quadratic programming (90C20) Newton-type methods (49M15) 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) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
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- Linear and nonlinear programming.
- Robust FETI-DP methods for heterogeneous three dimensional elasticity problems
- A globally convergent method for nonlinear programming
- Computational homogenization with million-way parallelism using domain decomposition methods
- FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
- Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method
- Nonlinear FETI-DP and BDDC Methods
- Substructured formulations of nonlinear structure problems - influence of the interface condition
- On an Adaptive Coarse Space and on Nonlinear Domain Decomposition
- Inexact FETI-DP methods
- An Inexact SQP Method for Equality Constrained Optimization
- Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results
- Nonlinearly Preconditioned Inexact Newton Algorithms
- Additive and Hybrid Nonlinear Two-Level Schwarz Methods and Energy Minimizing Coarse Spaces for Unstructured Grids
- A Nonlinear Elimination Preconditioned Inexact Newton Method for Heterogeneous Hyperelasticity