Real time parameter identification and solution reconstruction from experimental data using the proper generalized decomposition
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Publication:2631470
DOI10.1016/j.cma.2015.07.020zbMath1423.74961OpenAlexW1704409945WikidataQ57547734 ScholiaQ57547734MaRDI QIDQ2631470
E. Nadal, F. D. Denia, Francisco Chinesta, Francisco Javier Fuenmayor, Pedro Díez
Publication date: 15 May 2019
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/63040
parameter identificationdata assimilationproper generalized decompositionmodel order reductiondiscrete empirical interpolation methodsystem control
Inverse problems in equilibrium solid mechanics (74G75) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
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Cites Work
- Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models
- Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity
- Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces
- PGD-based \textit{computational vademecum} for efficient design, optimization and control
- An overview of the proper generalized decomposition with applications in computational rheology
- On the verification of model reduction methods based on the proper generalized decomposition
- An error estimator for separated representations of highly multidimensional models
- A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Sampling and reconstruction of solutions to the Helmholtz equation
- A Generalized Empirical Interpolation Method: Application of Reduced Basis Techniques to Data Assimilation
- A basis for bounding the errors of proper generalised decomposition solutions in solid mechanics
- Streamline upwind/Petrov-Galerkin-based stabilization of proper generalized decompositions for high-dimensional advection-diffusion equations
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Efficiency of a POD-based reduced second-order adjoint model in 4D-Var data assimilation
- A reduced-order approach to four-dimensional variational data assimilation using proper orthogonal decomposition
- Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
- A reduced-order approach for optimal control of fluids using proper orthogonal decomposition
- Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations
