DOI10.1137/090780122zbMath1228.35097OpenAlexW2924040522MaRDI QIDQ5200247
Einar M. Rønquist, Jens L. Eftang, Anthony T. Patera
Publication date: 1 August 2011
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/090780122
Numerical Assessment of a Nonintrusive Surrogate Model Based on Recurrent Neural Networks and Proper Orthogonal Decomposition: Rayleigh–Bénard Convection,
Reduced basis methods for time-dependent problems,
CERTIFIED REDUCED BASIS METHODS FOR NONAFFINE LINEAR TIME-VARYING AND NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS,
Parameter multi-domain ‘hp ’ empirical interpolation,
Mathematical and numerical results on the sensitivity of the POD approximation relative to the Burgers equation,
Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order bases,
Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs,
An \textit{hp}-proper orthogonal decomposition-moving least squares approach for molecular dynamics simulation,
Interpolatory tensorial reduced order models for parametric dynamical systems,
On the use of ANOVA expansions in reduced basis methods for parametric partial differential equations,
Certified reduced basis approximation for parametrized partial differential equations and applications,
Interpolation-based reduced-order modelling for steady transonic flows via manifold learning,
Preconditioning Techniques for Reduced Basis Methods for Parameterized Elliptic Partial Differential Equations,
Real-time solution of linear computational problems using databases of parametric reduced-order models with arbitrary underlying meshes,
A combination between the reduced basis method and the ANOVA expansion: on the computation of sensitivity indices,
Online adaptive basis refinement and compression for reduced-order models via vector-space sieving,
A localized reduced basis approach for unfitted domain methods on parameterized geometries,
Adaptiveh-refinement for reduced-order models,
Nonlinear model reduction via a locally weighted POD method,
Maxwell’s equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods,
An adaptive reduced order model for the angular discretization of the Boltzmann transport equation using independent basis sets over a partitioning of the space‐angle domain,
An automated parameter domain decomposition approach for gravitational wave surrogates using hp-greedy refinement,
Predictive reduced order modeling of chaotic multi-scale problems using adaptively sampled projections,
Optimal control of parameterized stationary Maxwell's system: reduced basis, convergence analysis, and a posteriori error estimates,
Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems,
A greedy sensor selection algorithm for hyperparameterized linear Bayesian inverse problems with correlated noise models,
Reduced basis method and error estimation for parametrized optimal control problems with control constraints,
Reduced order modeling for elliptic problems with high contrast diffusion coefficients,
A POD-EIM reduced two-scale model for crystal growth,
Implicit partitioning methods for unknown parameter sets. In the context of the reduced basis method,
Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction,
A two-step certified reduced basis method,
Online Interpolation Point Refinement for Reduced-Order Models using a Genetic Algorithm,
A Reduced Basis Method for Coercive Equations with an Exact Solution Certificate and Spatio-Parameter Adaptivity: Energy-Norm and Output Error Bounds,
Certified reduced order method for the parametrized Allen-Cahn equation,
A Certified Trust Region Reduced Basis Approach to PDE-Constrained Optimization,
Reduced basis approximations of the solutions to spectral fractional diffusion problems,
Two-step greedy algorithm for reduced order quadratures,
A high-performance parallel implementation of the certified reduced basis method,
An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations,
Reduced Basis Methods for Uncertainty Quantification,
Leveraging Sparsity and Compressive Sensing for Reduced Order Modeling,
A non-conforming dual approach for adaptive Trust-Region reduced basis approximation of PDE-constrained parameter optimization,
Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method,
Feedback control of parametrized PDEs via model order reduction and dynamic programming principle,
Anhpcertified reduced basis method for parametrized parabolic partial differential equations,
A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space,
A space-time hp-interpolation-based certified reduced basis method for Burgers' equation,
Certified reduced basis method for electromagnetic scattering and radar cross section estimation,
High-fidelity real-time simulation on deployed platforms,
The reduced basis method for the electric field integral equation,
A posteriori error bounds for the empirical interpolation method,
Element boundary terms in reduced order models for flow problems: domain decomposition and adaptive coarse mesh hyper-reduction,
Randomized linear algebra for model reduction. II: Minimal residual methods and dictionary-based approximation,
A minimum-residual mixed reduced basis method: Exact residual certification and simultaneous finite-element reduced-basis refinement,
The generalized empirical interpolation method: stability theory on Hilbert spaces with an application to the Stokes equation,
A mathematical and numerical study of the sensitivity of a reduced order model by POD (ROM-POD), for a 2D incompressible fluid flow,
A discontinuous Galerkin reduced basis element method for elliptic problems,
Classification of Spatiotemporal Data via Asynchronous Sparse Sampling: Application to Flow around a Cylinder,
REDUCED BASIS APPROXIMATION ANDA POSTERIORIERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS,
A hierarchical a posteriori error estimator for the reduced basis method,
A POD–EIM reduced two-scale model for precipitation in porous media,
Failure Probability Estimation of Linear Time Varying Systems by Progressive Refinement of Reduced Order Models,
6 Model reduction in computational aerodynamics,
Nonlinear methods for model reduction,
Nonlinear Reduced Models for State and Parameter Estimation,
Gaussian Process Subspace Prediction for Model Reduction,
Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking,
Nonlinear approximation spaces for inverse problems