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<p>We study a full waveform inversion (FWI) method in the frequency domain penalized by Besov space norms. In particular, we combine frequency marching with regularization in the Besov space, motivated by its edge-preserving and multiscale properties. First, we establish the well-posedness of the associated PDE-constrained optimization problem under Besov regularization. Second, we propose a combined approach based on frequency marching and Besov penalization, aimed at reconstructing fine-scale features by utilizing higher frequency data. Finally, we present numerical experiments to demonstrate the performance of our proposed method.</p>

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Besov Space Regularised Waveform Inversion via Frequency Marching

  • 期刊论文

  • 发表日期：

    2026年3月26日

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  • Hanne Kekkonen,
  • Rob Remis,
  • Andreas Tataris

摘要

We study a full waveform inversion (FWI) method in the frequency domain penalized by Besov space norms. In particular, we combine frequency marching with regularization in the Besov space, motivated by its edge-preserving and multiscale properties. First, we establish the well-posedness of the associated PDE-constrained optimization problem under Besov regularization. Second, we propose a combined approach based on frequency marching and Besov penalization, aimed at reconstructing fine-scale features by utilizing higher frequency data. Finally, we present numerical experiments to demonstrate the performance of our proposed method.