The reduced basis method in space and time: challenges, limits and perspectives
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Publication:6629172
DOI10.1007/978-3-031-29563-8_1MaRDI QIDQ6629172
Publication date: 29 October 2024
Cites Work
- Title not available (Why is that?)
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- Tensor-sparsity of solutions to high-dimensional elliptic partial differential equations
- Adaptive rational Krylov subspaces for large-scale dynamical systems
- Comparison of the EM algorithm and alternatives
- Automatic differentiation for the optimization of a ship propulsion and steering system: a proof of concept
- A new error bound for reduced basis approximation of parabolic partial differential equations
- Transport and propagation of a perturbation of a flow of a compressible fluid in a bounded region
- Some observations on Babuška and Brezzi theories
- Adaptive anisotropic Petrov-Galerkin methods for first order transport equations
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- A reduced basis method with exact-solution certificates for steady symmetric coercive equations
- Intraday renewable electricity trading: advanced modeling and numerical optimal control
- Linear/ridge expansions: enhancing linear approximations by ridge functions
- The DPG-star method
- A two-level parameterized model-order reduction approach for time-domain elastodynamics
- Decay of the Kolmogorov \(N\)-width for wave problems
- A hierarchical a posteriori error estimator for the reduced basis method
- A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities
- Space-time discontinuous Petrov-Galerkin methods for linear wave equations in heterogeneous media
- Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13--16, 2015
- Certified reduced basis approximation for parametrized partial differential equations and applications
- A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection
- A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
- \textit{A priori} convergence of the greedy algorithm for the parametrized reduced basis method
- Numerical Modelling and Simulation of Ship Hull Geometries
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations
- Robust DPG Methods for Transient Convection-Diffusion
- Space-time adaptive wavelet methods for parabolic evolution problems
- A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
- Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs
- Convergence Rates for Greedy Algorithms in Reduced Basis Methods
- Wavelet methods for the representation, analysis and simulation of optical surfaces
- Computational Methods for Linear Matrix Equations
- A Low-Rank in Time Approach to PDE-Constrained Optimization
- A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs
- Parametric PDEs: sparse or low-rank approximations?
- 9. A Reduced Basis Method For The Hamilton–Jacobi–Bellman Equation Within The European Union Emission Trading Scheme
- Model Reduction and Approximation
- Component Mapping Automation for Parametric Component Reduced Basis Techniques (RB-COMPONENT)
- (Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov--Galerkin Methods
- A Reduced Basis Method for Parameter Functions Using Wavelet Approximations
- Approximations of Very Weak Solutions to Boundary-Value Problems
- Adaptive Petrov--Galerkin Methods for First Order Transport Equations
- Stability of sparse space-time finite element discretizations of linear parabolic evolution equations
- On the construction of sparse tensor product spaces
- A Spacetime DPG Method for the Schrödinger Equation
- A reduced basis method for the wave equation
- Transformed Snapshot Interpolation with High Resolution Transforms
- Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems
- A Variational Formulation for LTI-Systems and Model Reduction
- An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
- Adjoint-Based Optimization for Rigid Body Motion in Multiphase Navier--Stokes Flow
- Valuation of Structured Financial Products by Adaptive Multiwavelet Methods in High Dimensions
- Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots
- Reduced Basis Methods for Parameterized Partial Differential Equations with Stochastic Influences Using the Karhunen--Loève Expansion
- An improved error bound for reduced basis approximation of linear parabolic problems
- Double greedy algorithms: Reduced basis methods for transport dominated problems
- Numerical optimization of the Voith‐Schneider® Propeller
- Reduced basis method for finite volume approximations of parametrized linear evolution equations
- Reduced Basis Methods for Partial Differential Equations
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