Scalable parallel elastic-plastic finite element analysis using a quasi-Newton method with a balancing domain decomposition preconditioner
DOI10.1007/s00466-018-1579-4zbMath1471.74072OpenAlexW2800324324WikidataQ113327251 ScholiaQ113327251MaRDI QIDQ1630804
Hiroshi Okada, Tomonori Yamada, Shinobu Yoshimura, Yasunori Yusa
Publication date: 5 December 2018
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-018-1579-4
domain decomposition methodquasi-Newton methodnonlinear finite element methodelastic-plastic analysisbalancing domain decomposition preconditioner
Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Parallel numerical computation (65Y05)
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- Non-overlapping domain decomposition methods in structural mechanics
- A faster modified Newton-Raphson iteration
- Some practical procedures for the solution of nonlinear finite element equations
- An analytical-numerical alternating method for elastic-plastic analysis of cracks
- On the nonlinear domain decomposition method
- Advanced general-purpose computational mechanics system for large-scale analysis and design
- An elastic-plastic finite element alternating method for analyzing wide- spread fatigue damage in aircraft structures
- 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
- Speedup of Elastic–Plastic Analysis of Large-scale Modelwith Crack Using Partitioned Coupling Methodwith Subcycling Technique
- Performance evaluation of nonlinear algorithms with line-search for partitioned coupling techniques for fluid-structure interactions
- Balancing domain decomposition
- On the Schwarz Alternating Method with More than two Subdomains for Nonlinear Monotone Problems
- The solution of nonlinear finite element equations
- Computational strategies for the solution of large nonlinear problems via quasi-newton methods
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- The s-version of the finite element method
- A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
- Some Nonoverlapping Domain Decomposition Methods
- Solving Nonlinear Equations with Newton's Method
- A Preconditioner for Substructuring Based on Constrained Energy Minimization
- Application of the FETI method to ASCI problems?scalability results on 1000 processors and discussion of highly heterogeneous problems
- On Schwarz Alternating Methods for Nonlinear Elliptic PDEs
- Three-Dimensional Elastic Analysis of a Structure with Holes Using Accelerated Coupling-Matrix-Free Iterative s-Version FEM
- Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results
- Nonlinearly Preconditioned Inexact Newton Algorithms
- On Convergence of the Additive Schwarz Preconditioned Inexact Newton Method
- Note on the ‘Alpha’‐constant stiffness method for the analysis of non‐linear problems