RT Journal Article
T1 Well-balanced POD-based reduced-order models for finite volume approximation of hyperbolic balance laws
A1 Gómez Bueno, Irene
A1 Fernández Nieto, Enrique Domingo
A1 Rubino, S.
K1 Método de los volúmenes finitos
K1 Descomposición (Matemáticas)
K1 Ecuaciones diferenciales hiperbólicas
K1 Matemáticas aplicadas
AB This paper introduces a reduced-order modeling approach based on finite volume methods for hyperbolic systems, combining Proper Orthogonal Decomposition (POD) with the Discrete Empirical Interpolation Method (DEIM) and Proper Interval Decomposition (PID). Applied to systems such as the transport equation with source term, non-homogeneous Burgers equation, and shallow water equations with non-flat bathymetry and Manning friction, this method achieves significant improvements in computational efficiency and accuracy compared to previous time-averaging techniques. A theoretical result justifying the use of well-balanced Full-Order Models (FOMs) is presented. Numerical experiments validate the approach, demonstrating its accuracy and efficiency. Furthermore, the question of prediction of solutions for systems that depend on some physical parameters is also addressed, and a sensitivity analysis on POD parameters confirms the model’s robustness and efficiency in this case.
PB Elsevier
SN 0377-0427
YR 2025
FD 2025-05-04
LK https://hdl.handle.net/10630/38694
UL https://hdl.handle.net/10630/38694
LA eng
NO Gómez-Bueno, I., Fernández-Nieto, E. D., & Rubino, S. (2026). Well-balanced POD-based reduced-order models for finite volume approximation of hyperbolic balance laws. Journal of Computational and Applied Mathematics, 471, 116735.
NO Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026