A projection-based reduced-order model for parametric quasi-static nonlinear mechanics using an open-source industrial code
DOI10.1002/nme.7385zbMATH Open1548.74752MaRDI QIDQ6569911
Michel Bergmann, Eki Agouzal, Guilhem Ferté, Jean-Philippe Argaud, Tommaso Taddei
Publication date: 9 July 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
model order reductionhyperreductionnonlinear mechanicsparametrized partial differential equationsempirical quadrature procedure
Finite element methods applied to problems in solid mechanics (74S05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Cites Work
- Unnamed Item
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics
- A priori hyperreduction method: an adaptive approach
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- Enablers for robust POD models
- On the approximability of minimizing nonzero variables or unsatisfied relations in linear systems
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs
- The DGDD method for reduced-order modeling of conservation laws
- Probabilistic deep learning for real-time large deformation simulations
- A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models
- Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws
- Dimensional hyper-reduction of nonlinear finite element models via empirical cubature
- A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities
- A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection
- A prioriconvergence of the Greedy algorithm for the parametrized reduced basis method
- Local/global model order reduction strategy for the simulation of quasi-brittle fracture
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency
- Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Convergence Rates for Greedy Algorithms in Reduced Basis Methods
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Matching pursuits with time-frequency dictionaries
- Convergence Rates of the POD–Greedy Method
- Reduced basis method for finite volume approximations of parametrized linear evolution equations
- An adaptive projection‐based model reduction method for nonlinear mechanics with internal variables: Application to thermo‐hydro‐mechanical systems
- A Nonintrusive Distributed Reduced Order Modeling Framework for nonlinear structural mechanics -- application to elastoviscoplastic computations
- A multilevel projection-based model order reduction framework for nonlinear dynamic multiscale problems in structural and solid mechanics
This page was built for publication: A projection-based reduced-order model for parametric quasi-static nonlinear mechanics using an open-source industrial code