A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities
From MaRDI portal
Publication:2310185
DOI10.1016/j.cma.2017.09.014zbMath1439.74387OpenAlexW2767971090MaRDI QIDQ2310185
Loi Nguyen, Jonas Ballani, David J. Knezevic, Anthony T. Patera, D. B. Phuong Huynh
Publication date: 6 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2017.09.014
finite element methodplasticityreduced basis methodpartial differential equationscomponentscontact analysisport training
Structured surfaces and interfaces, coexistent phases (74A50) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (8)
Rare event simulation for large-scale structures with local nonlinearities ⋮ Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution ⋮ Data‐driven physics‐based digital twins via a library of component‐based reduced‐order models ⋮ A Registration Method for Model Order Reduction: Data Compression and Geometry Reduction ⋮ Component-wise reduced order model lattice-type structure design ⋮ Domain-decomposition least-squares Petrov-Galerkin (DD-LSPG) nonlinear model reduction ⋮ Model order reduction for large-scale structures with local nonlinearities ⋮ Stress-constrained topology optimization of lattice-like structures using component-wise reduced order models
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables
- A high-performance parallel implementation of the certified reduced basis method
- A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks
- Consistent tangent operators for rate-independent elastoplasticity
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales
- The Hertz contact problem with finite friction
- Computational inelasticity
- A slack approach to reduced-basis approximation and error estimation for variational inequalities
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Coupling of finite element and boundary element methods for study of the frictional contact problem
- Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Optimal Local Approximation Spaces for Component-Based Static Condensation Procedures
- A Static condensation Reduced Basis Element method : approximation anda posteriorierror estimation
- Port reduction in parametrized component static condensation: approximation and a posteriori error estimation
- Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
- Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system
- Convergence Rates for Greedy Algorithms in Reduced Basis Methods
- A Normal Force-Displacement Model for Contacting Spheres Accounting for Plastic Deformation: Force-Driven Formulation
- Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment
- Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
- A special finite element method based on component mode synthesis
- Estimation of the Error in the Reduced Basis Method Solution of Nonlinear Equations
- Contact Mechanics
- An augmented lagrangian treatment of contact problems involving friction
- The Reduced Basis Element Method: Application to a Thermal Fin Problem
- Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds
- A Reduced Basis Method for Parametrized Variational Inequalities
- Computational Contact Mechanics
- Coupling of substructures for dynamic analyses.
- Modeling and control of physical processes using proper orthogonal decomposition
This page was built for publication: A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities
