@article{4165,
  author = {Elena N. Akimova, Vladimir E. Misilov, and Maxim S. Arguchinsky},
  title = {Memory-efficient Algorithm for the Reverse issue of  Variable Density},
  journal = {Electronic Devices},
  year = {2024},
  volume = {13},
  number = {2},
  doi = {https://doi.org/10.6025/ed/2024/13/2/49-56},
  url = {https://www.dline.info/ed/fulltext/v13n2/edv13n2_2.pdf},
  abstract = {A memory-efficient algorithm is developed and implemented to address the reverse issue of determining the variable density within a curvilinear layer from gravitational information. This algorithm is structured around the stabilized bi-conjugated gradient approach. By approximating the SLAE matrix with a Toeplitz-block-Toeplitz structure, the modification dramatically lowers the need for memory. The parallel versions of the algorithm were created for the Uran supercomputer, utilizing a combination of MPI+OpenMP technology. The practicality of this algorithm was demonstrated through its successful application to a model problem featuring synthetic data.

},
}