MOR-TL: A Novel Model Order Reduction Method for Parametrized Problems with Application to Seismic Wave Propagation
Abstract
This paper presents an efficient strategy for constructing Reduced-Order Model (ROM) bases using Taylor polynomial expansions and Fréchet derivatives with respect to model parameters. The proposed approach enables the construction of ROM bases with minimal additional computational cost. By exploiting Fréchet derivatives – solution to the same problem with distinct right-hand sides – the method introduces a streamlined multiple-right-hand-side (RHS) strategy for ROM bases construction. This approach not only reduces overall computational expenses but also improves accuracy during model parameter updates. Numerical experiments on a two-dimensional wave problem demonstrate significant efficiency gains and enhanced performance, highlighting the potential of the proposed method to advance computational cost-effectiveness, particularly in seismic inversion applications.
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BibTeX
@article{besset2026mortl,
title = {{MOR-TL: A Novel Model Order Reduction Method for Parametrized Problems with Application to Seismic Wave Propagation}},
author = {Julien Besset and Hélène Barucq and Rabia Djellouli and Stefano Frambati},
journal = {Journal of Computational and Applied Mathematics},
year = {2026},
month = oct,
doi = {10.1016/j.cam.2026.118249},
url = {https://inria.hal.science/hal-05828933v1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - MOR-TL: A Novel Model Order Reduction Method for Parametrized Problems with Application to Seismic Wave Propagation
AU - Julien Besset
AU - Hélène Barucq
AU - Rabia Djellouli
AU - Stefano Frambati
PY - 2026
DA - 2026/10/21
JO - Journal of Computational and Applied Mathematics
DO - 10.1016/j.cam.2026.118249
UR - https://inria.hal.science/hal-05828933v1
AB - This paper presents an efficient strategy for constructing Reduced-Order Model (ROM) bases using Taylor polynomial expansions and Fréchet derivatives with respect to model parameters. The proposed approach enables the construction of ROM bases with minimal additional computational cost. By exploiting Fréchet derivatives – solution to the same problem with distinct right-hand sides – the method introduces a streamlined multiple-right-hand-side (RHS) strategy for ROM bases construction. This approach not only reduces overall computational expenses but also improves accuracy during model parameter updates. Numerical experiments on a two-dimensional wave problem demonstrate significant efficiency gains and enhanced performance, highlighting the potential of the proposed method to advance computational cost-effectiveness, particularly in seismic inversion applications.
SN - 0377-0427
ER -