Randomized residual-based error estimators for the proper generalized decomposition approximation of parametrized problems
From MaRDI portal
Publication:6554340
DOI10.1002/nme.6339zbMATH Open1548.65395MaRDI QIDQ6554340
Publication date: 12 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
a posteriori error estimationproper generalized decompositionconcentration phenomenongoal-oriented error estimationparametrized equationsMonte-Carlo estimator
Cites Work
- Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models
- Tensor-based methods for numerical homogenization from high-resolution images
- On the verification of model reduction methods based on the proper generalized decomposition
- An error estimator for separated representations of highly multidimensional models
- A natural-norm successive constraint method for inf-sup lower bounds
- A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids. II: Transient simulation using space-time separated representations
- Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach
- Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids
- A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- A separated representation of an error indicator for the mesh refinement process under the proper generalized decomposition framework
- Numerical strategies for the Galerkin-proper generalized decomposition method
- Variational Monte Carlo -- bridging concepts of machine learning and high-dimensional partial differential equations
- Randomized linear algebra for model reduction. I. Galerkin methods and error estimation
- \textit{A posteriori} error estimation and adaptive strategy for PGD model reduction applied to parametrized linear parabolic problems
- On a goal-oriented version of the proper generalized decomposition method
- A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
- Goal-oriented error estimation for the reduced basis method, with application to sensitivity analysis
- The proper generalized decomposition for advanced numerical simulations. A primer
- Interpolation of inverse operators for preconditioning parameter-dependent equations
- A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- A basis for bounding the errors of proper generalised decomposition solutions in solid mechanics
- Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques
- Hierarchical Local Model Reduction for Elliptic Problems: A Domain Decomposition Approach
- Tensor Spaces and Numerical Tensor Calculus
- Randomized Local Model Order Reduction
- Extensions of Lipschitz mappings into a Hilbert space
- Error Estimation for Reduced‐Order Models of Dynamical Systems
- Greedy algorithms for high-dimensional non-symmetric linear problems
- Improved successive constraint method baseda posteriorierror estimate for reduced basis approximation of 2D Maxwell's problem
- On a Dimensional Reduction Method I. The Optimal Selection of Basis Functions
- Small-Sample Statistical Condition Estimates for General Matrix Functions
- Adjoint Recovery of Superconvergent Functionals from PDE Approximations
- Model Reduction and Approximation
- Randomized Residual-Based Error Estimators for Parametrized Equations
- High-Dimensional Probability
- A Posteriori Error Estimation and Global Error Control for Ordinary Differential Equations by the Adjoint Method
- Centroidal Voronoi Tessellations: Applications and Algorithms
- Projection-Based Model Order Reduction Methods for the Estimation of Vector-Valued Variables of Interest
- Reduced Basis Methods for Partial Differential Equations
Related Items (1)
This page was built for publication: Randomized residual-based error estimators for the proper generalized decomposition approximation of parametrized problems