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Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling
B Peherstorfer - SIAM Journal on Scientific Computing, 2020 - SIAM
This work presents a model reduction approach for problems with coherent structures that
propagate over time, such as convection-dominated flows and wave-type phenomena …
propagate over time, such as convection-dominated flows and wave-type phenomena …
Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking
This work introduces a new approach to reduce the computational cost of solving partial
differential equations (PDEs) with convection-dominated solutions: model reduction with …
differential equations (PDEs) with convection-dominated solutions: model reduction with …
A registration method for reduced basis problems using linear optimal transport
T Blickhan - SIAM Journal on Scientific Computing, 2024 - SIAM
We present a registration method for model reduction of parametric partial differential
equations with dominating advection effects and moving features. Registration refers to the …
equations with dominating advection effects and moving features. Registration refers to the …
Manifold approximations via transported subspaces: Model reduction for transport-dominated problems
This work presents a method for constructing online-efficient reduced models of large-scale
systems governed by parametrized nonlinear scalar conservation laws. The solution …
systems governed by parametrized nonlinear scalar conservation laws. The solution …
Transformed snapshot interpolation with high resolution transforms
G Welper - SIAM Journal on Scientific Computing, 2020 - SIAM
In the last few years, several methods have been developed to deal with jump singularities
in parametric or stochastic hyperbolic PDEs. They typically use some alignment of the jump …
in parametric or stochastic hyperbolic PDEs. They typically use some alignment of the jump …
Nonlinear reduced order modeling using domain decomposition
View Video Presentation: https://doi. org/10.2514/6.2022-1250. vid As designers become
increasingly reliant upon expensive, high-fidelity numerical modeling and simulation …
increasingly reliant upon expensive, high-fidelity numerical modeling and simulation …
Friedrichs' systems discretized with the Discontinuous Galerkin method: domain decomposable model order reduction and Graph Neural Networks approximating …
Friedrichs' systems (FS) are symmetric positive linear systems of first-order partial differential
equations (PDEs), which provide a unified framework for describing various elliptic …
equations (PDEs), which provide a unified framework for describing various elliptic …
Manifold approximations via transported subspaces: Model reduction for transport-dominated problems
This work presents a method for constructing online-efficient reduced models of large-scale
systems governed by parametrized nonlinear scalar conservation laws. The solution …
systems governed by parametrized nonlinear scalar conservation laws. The solution …
Computational optimal transport for molecular spectra: The fully continuous case
Computational optimal transport is used to analyze the difference between pairs of
continuous molecular spectra. It is demonstrated that transport distances which are derived …
continuous molecular spectra. It is demonstrated that transport distances which are derived …
Accelerated solutions of convection‐dominated partial differential equations using implicit feature tracking and empirical quadrature
This work introduces an empirical quadrature‐based hyperreduction procedure and greedy
training algorithm to effectively reduce the computational cost of solving convection …
training algorithm to effectively reduce the computational cost of solving convection …