Parallel solution of contact shape optimization problems based on total FETI domain decomposition method

DOI10.1007/s00158-010-0537-3zbMath1274.74407OpenAlexW2036732440MaRDI QIDQ381541

Alexandros Markopoulos, Tomáš Kozubek, Vít Vondrák, Zdeněk Dostál

Publication date: 15 November 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-010-0537-3

zbMATH Keywords

sensitivity analysisdomain decomposition methodsparallel programmingcontact shape optimization

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (4)

Optimal iterative QP and QPQC algorithms ⋮ A coupled FETI-BDNM for solving 3D elastic frictional contact problem ⋮ Solution of 3D contact shape optimization problems with Coulomb friction based on TFETI. ⋮ A new era in scientific computing: domain decomposition methods in hybrid CPU-GPU architectures

Uses Software

• Total FETI
• MatSol

Cites Work

• Optimal quadratic programming algorithms. With applications to variational inequalities
• Design sensitivity analysis of structural systems
• Solution of variational inequalities in mechanics
• Minimizing quadratic functions subject to bound constraints with the rate of convergence and finite termination
• FETI based algorithms for contact problems: Scalability, large displacements and 3D Coulomb friction
• Scalable FETI with optimal dual penalty for a variational inequality
• Total FETI-an easier implementable variant of the FETI method for numerical solution of elliptic PDE
• Scalable TFETI algorithm for the solution of multibody contact problems of elasticity
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Multi-mesh and adaptivity in 3D shape optimization
• On the general solution by a direct method of a large-scale singular system of linear equations: application to the analysis of floating structures
• Shape Optimization in Three-Dimensional Contact Problems with Coulomb Friction
• Computational Contact Mechanics
• Inexact Semimonotonic Augmented Lagrangians with Optimal Feasibility Convergence for Convex Bound and Equality Constrained Quadratic Programming
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