Problems in computational helioseismology

TL;DR

This paper reviews advances in local helioseismology modeling, highlighting theoretical uniqueness results and numerical experiments to determine data requirements for reconstructing solar interior properties.

Contribution

It introduces the Novikov-Agaltsov reconstruction algorithm and applies it to the non-linear inverse problem in helioseismology, with numerical validation.

Findings

Theoretical uniqueness results for inverse problems in helioseismology.

Numerical experiments determine the number of frequencies needed for accurate reconstruction.

Application of the Novikov-Agaltsov algorithm to solar interior modeling.

Abstract

We discuss current advances in forward and inverse modeling for local helioseismology. We report theoretical uniqueness results, in particular the Novikov-Agaltsov reconstruction algorithm, which is relevant to solving the non-linear inverse problem of time-distance helioseismology (finite amplitude pertubations to the medium). Numerical experiments were conducted to determine the number of frequencies required to reconstruct density and sound speed in the solar interior.