3 papers
math.NA2022
PDE-constrained optimization for electroencephalographic source reconstruction
M. S. Malovichko, N. B. Yavich, A. M. Razorenova +1
This paper introduces a novel numerical method for the inverse problem of electroencephalography(EEG). We pose the inverse EEG problem as an optimal control (OC) problem for Poisso…
q-bio.NC2019
FEM-based Scalp-to-Cortex data mapping via the solution of the Cauchy problem
Nikolay Koshev, Nikolay Yavich, Mikhail Malovichko +2
We propose an approach and the numerical algorithm for pre-processing of the electroencephalography (EEG) data, enabling to generate an accurate mapping of the potential from the m…
physics.geo-ph2019
Source identification in the self-potential method and its connection to Stokes type systems
Mikhail Malovichko, Nikolay Yavich
This paper develops a novel approach to the problem of source current identification for the diffusion equation in connection with geophysical self-potential measurements. The prob…