A learning-based projection method for model order reduction of transport problems
From MaRDI portal
Publication:2088794
DOI10.1016/j.cam.2022.114560zbMath1502.65173arXiv2105.14633OpenAlexW3168996614MaRDI QIDQ2088794
Publication date: 6 October 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.14633
Artificial neural networks and deep learning (68T07) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Transport equations (35Q49)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- NGSolve
- Approximated Lax pairs for the reduced order integration of nonlinear evolution equations
- Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing
- A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs
- Reduced order model in cardiac electrophysiology with approximated Lax pairs
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Reconstructing phase space from PDE simulations
- A convexity principle for interacting gases
- Reconstruction equations and the Karhunen-Loève expansion for systems with symmetry
- On \(n\)-widths for elliptic problems
- POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations
- Efficient implementation of weighted ENO schemes
- Lagrangian dynamic mode decomposition for construction of reduced-order models of advection-dominated phenomena
- An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation
- Extended dynamic mode decomposition for inhomogeneous problems
- Registration-based model reduction of parameterized two-dimensional conservation laws
- Reduced-order deep learning for flow dynamics. The interplay between deep learning and model reduction
- Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders
- Decay of the Kolmogorov \(N\)-width for wave problems
- Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws
- A prioriconvergence of the Greedy algorithm for the parametrized reduced basis method
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Adaptiveh-refinement for reduced-order models
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- Reduction and reconstruction for self-similar dynamical systems
- Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
- Model Reduction and Approximation
- Transport Reversal for Model Reduction of Hyperbolic Partial Differential Equations
- The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena
- Freezing Solutions of Equivariant Evolution Equations
- Nonlinear Reduced DNN Models for State Estimation
- A Registration Method for Model Order Reduction: Data Compression and Geometry Reduction
- SNS: A Solution-Based Nonlinear Subspace Method for Time-Dependent Model Order Reduction
- Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling
- Transformed Snapshot Interpolation with High Resolution Transforms
- Uniformly accurate machine learning-based hydrodynamic models for kinetic equations
- Model Order Reduction for Problems with Large Convection Effects
- Reduced basis techniques for nonlinear conservation laws
- Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots
- Locally Adaptive Greedy Approximations for Anisotropic Parameter Reduced Basis Spaces
This page was built for publication: A learning-based projection method for model order reduction of transport problems