MOR-T L : A Novel Model Order Reduction Method for Parametrized Problems with Application to Seismic Wave Propagation

TL;DR

This paper introduces a new model order reduction technique using Taylor and Fréchet derivatives to efficiently build reduced models for parametrized problems, significantly reducing computational costs and improving accuracy in seismic wave simulations.

Contribution

The paper proposes a novel ROM basis construction method leveraging Fréchet derivatives and multiple RHS strategies, enhancing efficiency and accuracy in parametrized seismic wave problems.

Findings

Significant computational efficiency gains demonstrated.

Improved accuracy in model parameter updates.

Effective application to seismic wave propagation.

Abstract

This paper presents an efficient strategy for constructing Reduced-Order Model (ROM) bases using Taylor polynomial expansions and Fr{\'e}chet derivatives with respect to model parameters. The proposed approach enables the construction of ROM bases with minimal additional computational cost. By exploiting Fr{\'e}chet 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.