[HTML][HTML] Physics-informed machine learning for reduced-order modeling of nonlinear problems

W Chen, Q Wang, JS Hesthaven, C Zhang - Journal of computational …, 2021 - Elsevier
A reduced basis method based on a physics-informed machine learning framework is
developed for efficient reduced-order modeling of parametrized partial differential equations …

Time parallelism and Newton-adaptivity of the two-derivative deferred correction discontinuous Galerkin method

J Zeifang, AT Manikantan, J Schütz - Applied Mathematics and …, 2023 - Elsevier
In this work, we consider a high-order discretization of compressible viscous flows allowing
parallelization both in space and time. The discontinuous Galerkin spectral element method …

Feature-adjacent multi-fidelity physics-informed machine learning for partial differential equations

W Chen, P Stinis - Journal of Computational Physics, 2024 - Elsevier
Physics-informed neural networks have emerged as an alternative method for solving partial
differential equations. However, for complex problems, the training of such networks can still …

[PDF][PDF] A Time Domain Full Order Parallel Method for Turbomachinery Unsteady Flows

B Wang, D Wang, X Huang - 2023 - gpps.global
In this study, the parallel inverted dual time stepping (PIDTS) method has been investigated
for analyzing turbomachinery unsteady flows. This is the first known effort in exploiting …

[图书][B] An Investigation of Network Partitioning to Enhance Performance of Parallelized Drainage Models

ED Tiernan - 2022 - search.proquest.com
Water drainage modeling codes need to be updated with parallel simulation capability to
leverage modern computational trends. Parallelized finite-difference/volume simulation of …

[PDF][PDF] Parallel-in-time-space Chebyshev pseudospectral method for unsteady fluid flows

W Chena, Y Jua, C Zhanga - researchgate.net
Simulating unsteady fluid flows always leads to huge computational costs, and thus
reducing the runtime by many-core parallel computation will be beneficial. Spatial …