Comparison of different FETI preconditioners for elastoplasticity

DOI10.1016/j.camwa.2017.01.003zbMath1393.74196OpenAlexW2574122606MaRDI QIDQ2406751

Alexandros Markopoulos, Jakub Kružík, Alena Vašatová, Vaclav Hapla, Martin Čermák

Publication date: 6 October 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.01.003

zbMATH Keywords

elastoplasticitydomain decompositionpreconditioningTFETIPERMON

Mathematics Subject Classification ID

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (3)

Scalable preconditioning for the stabilized contact mechanics problem ⋮ The impact of enabling multiple subdomains per MPI process in the TFETI domain decomposition method ⋮ Massively parallel solution of elastoplasticity problems with tens of millions of unknowns using permoncube and FLLOP packages

Uses Software

• PETSc
• Total FETI
• PermonQP
• PERMON
• PermonCube
• HYPLAS
• PermonFLLOP
• TFETI
• FLLOP

Cites Work

• Massively parallel solution of elastoplasticity problems with tens of millions of unknowns using permoncube and FLLOP packages
• Non-overlapping domain decomposition methods in structural mechanics
• Plasticity. Mathematical theory and numerical analysis
• A TFETI domain decomposition solver for elastoplastic problems
• Application of a modified semismooth Newton method to some elasto-plastic problems
• Discretization and numerical realization of contact problems for elastic-perfectly plastic bodies. PART II - numerical realization, limit analysis
• Total-FETI Method for Solving Contact Elasto-Plastic Problems
• Total FETI-an easier implementable variant of the FETI method for numerical solution of elliptic PDE
• Solution of One-Time-Step Problems in Elastoplasticity by a Slant Newton Method
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
• A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems
• Theoretical comparison of the FETI and algebraically partitioned FETI methods, and performance comparisons with a direct sparse solver

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