Adaptive greedy algorithms based on parameter-domain decomposition and reconstruction for the reduced basis method

Cites Work

Fixed-mesh curvature-parameterized shape optimization of an acoustic horn
A natural-norm successive constraint method for inf-sup lower bounds
Certified reduced basis method for electromagnetic scattering and radar cross section estimation
A certified natural-norm successive constraint method for parametric inf-sup lower bounds
Heuristic strategies for the approximation of stability factors in quadratically nonlinear parametrized PDEs
Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
Shape optimization of an acoustic horn.
Offline-enhanced reduced basis method through adaptive construction of the surrogate training set
Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction
An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
Reduced collocation methods: Reduced basis methods in the collocation framework
An adaptive local reduced basis method for solving PDEs with uncertain inputs and evaluating risk
Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries
Certified offline-free reduced basis (COFRB) methods for stochastic differential equations driven by arbitrary types of noise
Efficient model reduction of parametrized systems by matrix discrete empirical interpolation
A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
The localized reduced basis multiscale method for two-phase flows in porous media
Nonlinear Model Reduction via Discrete Empirical Interpolation
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
Radial Basis Functions
Model Reduction and Approximation
True Error Control for the Localized Reduced Basis Method for Parabolic Problems
A Progressive Reduced Basis/Empirical Interpolation Method for Nonlinear Parabolic Problems
Greedy Sampling Using Nonlinear Optimization
Reduced Basis Collocation Methods for Partial Differential Equations with Random Coefficients
A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods
A Space-Time Petrov--Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations