Transient temperature fields of the tank vehicle with various parameters using deep learning method

F Zhu, J Chen, D Ren, Y Han - Applied Thermal Engineering, 2023 - Elsevier
Calculation of transient temperature fields is widely used in engineering application and is
also very crucial. Nevertheless, the existing methods for the prediction of complex transient …

On optimal pointwise in time error bounds and difference quotients for the proper orthogonal decomposition

B Koc, S Rubino, M Schneier, J Singler, T Iliescu - SIAM Journal on Numerical …, 2021 - SIAM
In this paper, we resolve several long-standing issues dealing with optimal pointwise in time
error bounds for proper orthogonal decomposition (POD) reduced order modeling of the …

HDGlab: An Open-Source Implementation of the Hybridisable Discontinuous Galerkin Method in MATLAB

M Giacomini, R Sevilla, A Huerta - Archives of Computational Methods in …, 2021 - Springer
This paper presents HDGlab, an open source MATLAB implementation of the hybridisable
discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of …

Fast active thermal cloaking through PDE-constrained optimization and reduced-order modelling

C Sinigaglia, DE Quadrelli… - Proceedings of the …, 2022 - royalsocietypublishing.org
In this paper, we show how to efficiently achieve thermal cloaking from a computational
standpoint in several virtual scenarios by controlling a distribution of active heat sources. We …

Non-intrusive reduced-order modeling of parameterized electromagnetic scattering problems using cubic spline interpolation

K Li, TZ Huang, L Li, S Lanteri - Journal of Scientific Computing, 2021 - Springer
This paper presents a non-intrusive model order reduction (MOR) for the solution of
parameterized electromagnetic scattering problems, which needs to prepare a database …

New proper orthogonal decomposition approximation theory for PDE solution data

S Locke, J Singler - SIAM Journal on Numerical Analysis, 2020 - SIAM
In our previous work [JR Singler, SIAM J. Numer. Anal., 52 (2014), pp. 852--876], we
considered the proper orthogonal decomposition (POD) of time varying PDE solution data …

Local reduced subspaces of subchannel‐inspired subdomains

S Ruan, J Yanez, AG Class - International Journal for …, 2024 - Wiley Online Library
In this article, we study an update of the traditional subchannel approximation utilizing local
reduced order bases. Through employing the symmetries and periodicity of a 7‐pin bundle …

The simplified weak Galerkin method with θ scheme and its reduced-order model for the elastodynamic problem on polygonal mesh

L Wang, M Feng - Computers & Mathematics with Applications, 2025 - Elsevier
This paper presents a simplified weak Galerkin (SWG) method for solving the elastodynamic
problem and its reduced-order model (ROM) using the proper orthogonal decomposition …

The two-grid hybrid high-order method for the nonlinear strongly damped wave equation on polygonal mesh and its reduced-order model

L Wang, Y Tan, M Feng - Applied Numerical Mathematics, 2025 - Elsevier
This paper introduces the hybrid high-order (HHO) method for solving the nonlinear strongly
damped wave equation. We comprehensively analyze the semi-discrete and fully-discrete …

A reduced order modeling approach with Petrov–Galerkin projection based on hybrid snapshot simulation in Semilinear-PDEs

F Bai - Journal of Computational Science, 2023 - Elsevier
This paper proposes an efficient and economic framework to generate reduced order
models (ROMs) with Petrov–Galerkin projection based on hybrid snapshot simulation to …