Analysis of the SQP Method for Acoustic Waveform Inversion
Paper Title:
Analysis of the SQP Method for Hyperbolic PDE-Constrained Optimization in Acoustic Full Waveform Inversion
Published on:
8 May 2024
Primary Category:
Numerical Analysis
Paper Authors:
Luis Ammann,
Irwin Yousept
Bullets
Key Details
Proposes novel analysis strategy for SQP in hyperbolic PDE-constrained optimization
Uses smooth-in-time condition to ensure SQP well-posedness
Constructs tailored self-mapping operator and applies contraction principle
Performs two-step estimation process with Stampacchia's method
Proves R-superlinear convergence result for SQP method
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Analysis of the SQP Method for Acoustic Waveform Inversion
This paper analyzes the Sequential Quadratic Programming (SQP) method for an acoustic full waveform inversion problem in the time domain. The analysis is challenging due to hyperbolicity and second-order bilinear structure leading to loss of regularity in SQP. A novel strategy is proposed using a smooth-in-time condition, tailored self-mapping operator, and two-step estimation with Stampacchia's method to prove R-superlinear convergence of SQP.
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