On boundary conditions of the design scheme in mathematical modeling of the lithospheric plate

Abstract

On boundary conditions of the design scheme in mathematical modeling of the lithospheric plate

Muraveva E.A., Alihanov Z.K.

Incoming article date: 18.10.2025

For accurate modeling of the stress-strain state of the lithospheric plate, it is necessary to correctly define boundary conditions that reflect the interaction with the geological environment. The Dirichlet edge problem, in this context, involves setting displacements at the boundary of the calculated region. The problem is that the true displacements at the craton boundary are generally unknown and can change over time under the influence of tectonic processes and load changes.

Keywords: boundary conditions, stress-strain state, mathematical modeling, model, lithospheric plate, finite element method, geotectonics, stretching, compression, computer modeling, asthenosphere