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October 1, 2025Journal of Inverse and Ill-Posed Problems

Weighting operators for sparsity regularization

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Authors

OEOle Løseth ElvetunBNBjørn Fredrik NielsenNSNiranjana Sudheer

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Overview

Investigation of alternative weighting schemes improves recovery in elliptic PDE applications, suggesting new methods.

Key Points

  • Recovery from boundary data improves with innovative weighting methods, enhancing performance in elliptic PDEs.
  • Introducing new schemes allows for nearly perfect recovery of solutions, significantly boosting efficiency in computations.
  • Analysis includes proofs demonstrating that broader classes of weighting schemes yield effective recovery, surpassing limitations of traditional methods.
  • Numerical experiments validate effectiveness of various alternative approaches, paving the way for future applications in mathematical modeling.

Cite This Study

Elvetun et al. (2025) studied this question.

synapsesocial.com/papers/68dd91c7fe798ba2fc498666https://doi.org/10.1515/jiip-2025-0033
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