A multilevel projection-based model order reduction framework for nonlinear dynamic multiscale problems in structural and solid mechanics
From MaRDI portal
Publication:6557559
DOI10.1002/nme.5535zbMATH Open1548.74033MaRDI QIDQ6557559
Matthew J. Zahr, Charbel Farhat, Philip Avery
Publication date: 18 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theory of constitutive functions in solid mechanics (74A20)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems
- A priori hyperreduction method: an adaptive approach
- A model reduction method for the post-buckling analysis of cellular microstructures
- The reduced model multiscale method (R3M) for the nonlinear homogenization of hyperelastic media at finite strains
- A POD-EIM reduced two-scale model for crystal growth
- 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
- \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
- High-performance model reduction techniques in computational multiscale homogenization
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Application of a three-field nonlinear fluid-structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter
- Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
- Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling
- Continuum micro-mechanics of elastoplastic polycrystals
- Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems
- Adaptive reduced basis finite element heterogeneous multiscale method
- Model order reduction for nonlinear dynamical systems based on trajectory piecewise-linear approximations
- Elastic properties of reinforced solids: Some theoretical principles
- Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
- A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems
- Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency
- An offline-online homogenization strategy to solve quasilinear two-scale problems at the cost of one-scale problems
- Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models
- Progressive construction of a parametric reduced‐order model for PDE‐constrained optimization
- Projection‐based model reduction for contact problems
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- A reduced basis element method for the steady Stokes problem
- 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
- Mathematical homogenization of nonperiodic heterogeneous media subjected to large deformation transient loading
- An efficient reduced-order modeling approach for non-linear parametrized partial differential equations
- A scalable multi-level preconditioner for matrix-free µ-finite element analysis of human bone structures
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Missing Point Estimation in Models Described by Proper Orthogonal Decomposition
- Reduced Basis Multiscale Finite Element Methods for Elliptic Problems
- An approach to micro-macro modeling of heterogeneous materials
- Accelerated mesh sampling for the hyper reduction of nonlinear computational models
- A computational framework for scale-bridging in multi-scale simulations
Related Items (6)
A projection-based reduced-order model for parametric quasi-static nonlinear mechanics using an open-source industrial code ⋮ A computationally tractable framework for nonlinear dynamic multiscale modeling of membrane woven fabrics ⋮ Randomized low-rank approximation methods for projection-based model order reduction of large nonlinear dynamical problems ⋮ An adaptive model order reduction method for nonlinear seismic analysis of civil structures based on the elastic-plastic states ⋮ Accelerating structural dynamics simulations with localised phenomena through matrix compression and projection-based model order reduction ⋮ Global and local POD models for the prediction of compressible flows with DG methods
This page was built for publication: A multilevel projection-based model order reduction framework for nonlinear dynamic multiscale problems in structural and solid mechanics
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6557559)
