A registration method for reduced basis problems using linear optimal transport
DOI10.1137/23M1570715MaRDI QIDQ6623722
Author name not available (Why is that?)
Publication date: 24 October 2024
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
optimal transportmodel order reductionparametrized partial differential equationstransport-dominated problemssnapshot registration
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Transportation, logistics and supply chain management (90B06) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Optimal transportation (49Q22) Transport equations (35Q49)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- A survey of the Schrödinger problem and some of its connections with optimal transport
- Long history of the Monge-Kantorovich transportation problem
- \{Euclidean, metric, and Wasserstein\} gradient flows: an overview
- On the regularity of solutions of optimal transportation problems
- A class of discontinuous Petrov-Galerkin methods. I: The transport equation
- Stable Galerkin reduced-order models for linearized compressible flow
- A convexity principle for interacting gases
- Entropic optimal transport is maximum-likelihood deconvolution
- A linear optimal transportation framework for quantifying and visualizing variations in sets of images
- An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs
- Mapping of coherent structures in parameterized flows by learning optimal transportation with Gaussian models
- On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- The software design of gridap: a finite element package based on the Julia JIT compiler
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- Convolutional Wasserstein distances: efficient optimal transportation on geometric domains
- Efficient non linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- On Hölder continuity-in-time of the optimal transport map towards measures along a curve
- A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
- Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space
- The Regularity of Mappings with a Convex Potential
- Displacement Interpolation Using Monotone Rearrangement
- Wasserstein Dictionary Learning: Optimal Transport-Based Unsupervised Nonlinear Dictionary Learning
- Stabilization of projection‐based reduced‐order models
- Model Order Reduction in Fluid Dynamics: Challenges and Perspectives
- Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces
- Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs
- A Registration Method for Model Order Reduction: Data Compression and Geometry Reduction
- Stability of Discrete Empirical Interpolation and Gappy Proper Orthogonal Decomposition with Randomized and Deterministic Sampling Points
- Model Order Reduction for Problems with Large Convection Effects
- Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots
- Reduced Basis Methods for Partial Differential Equations
- Linear optimal transport embedding: provable Wasserstein classification for certain rigid transformations and perturbations
- Manifold Approximations via Transported Subspaces: Model Reduction for Transport-Dominated Problems
- Wasserstein model reduction approach for parametrized flow problems in porous media
- Transported snapshot model order reduction approach for parametric, steady-state fluid flows containing parameter-dependent shocks
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