4 papers
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…
Iterative PDE-constrained optimization for seismic full-waveform inversion
M. Malovichko, A. Orazbayev, N. Khokhlov
This paper presents a novel numerical method for the Newton seismic full-waveform inversion (FWI). The method is based on the full-space approach, where the state, adjoint state, a…
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…
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…