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September 17, 2025MathematicsOpen Access

A Variational Optimization Method for Solving Two Dimensional Magnetotelluric Inverse Problems

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This approach uses a variational optimization method to recover conductivity in magnetotelluric studies, demonstrating high accuracy and efficiency.

The proposed algorithm shows high accuracy in recovering electrical conductivity from boundary measurements.
Utilizing finite difference methods ensures stable approximations of both direct and conjugate problems.
Nesterov’s accelerated gradient descent method provides fast convergence with robustness to noise.
Numerical experiments validate the approach using a synthetic model with smooth conductivity and a localized anomaly.

Tleulesova et al. (2025) studied this question.

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This approach uses a variational optimization method to recover conductivity in magnetotelluric studies, demonstrating high accuracy and efficiency.