Non intrusive method for parametric model order reduction using a bi-calibrated interpolation on the grassmann manifold
M Oulghelou, C Allery - Journal of Computational Physics, 2021 - Elsevier
Approximating solutions of non-linear parametrized physical problems by interpolation
presents a major challenge in terms of accuracy. In fact, pointwise interpolation of such …
presents a major challenge in terms of accuracy. In fact, pointwise interpolation of such …
Stiefel manifold interpolation for non-intrusive model reduction of parameterized fluid flow problems
A El Omari, M El Khlifi, L Cordier - Journal of Computational Physics, 2025 - Elsevier
Many engineering problems are parameterized. In order to minimize the computational cost
necessary to evaluate a new operating point, the interpolation of singular matrices …
necessary to evaluate a new operating point, the interpolation of singular matrices …
Optimal interpolants on Grassmann manifolds
Abstract The Grassmann manifold Gr_m (R^ n) G rm (R n) of all m-dimensional subspaces of
the n-dimensional space R^ n R n (m< n)(m< n) is widely used in image analysis, statistics …
the n-dimensional space R^ n R n (m< n)(m< n) is widely used in image analysis, statistics …
[图书][B] Reduced-order modeling and adjoint-based optimization of flows with fluid-structure interactions
B Xu - 2023 - search.proquest.com
Fluid-structure interaction (FSI) is ubiquitous in nature, and has drawn great attention in fluid
mechanics community for about a century. However, the complexity of FSI has perplexed the …
mechanics community for about a century. However, the complexity of FSI has perplexed the …