On an algorithm for the direct solution of domain structures with an internal mortar boundary

Title	On an algorithm for the direct solution of domain structures with an internal mortar boundary
Authors	I. M. Gubaydullin¹, R. M. Uzyanbayev¹, Y. A. Poveshchenko², V. O. Podryga², O. S. Yazovtseva³ ¹USPTU ²Keldysh IAM ³National Research Mordovian State University
Annotation	The paper presents an algorithm for the direct solution of domain structures with an internally non-matching boundary. The computational domain is divided into cells with a large spatial step, within which a finer grid is implemented. The algorithm is tested on a two-dimensional pressure distribution equation and applied to solving the piezoconductivity problem of a typical structure of a carbonate-porous reservoir.
Keywords	the tridiagonal matrix algorithm, mortar grids, piezoconductivity equation, carbonate-porous collector.
Citation	Gubaydullin I. M., Uzyanbayev R. M., Poveshchenko Y. A., Podryga V. O., Yazovtseva O. S. ''On an algorithm for the direct solution of domain structures with an internal mortar boundary'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 82-84. Available at: https://conf.svmo.ru/files/2025/papers/paper16.pdf. - Date of access: 30.08.2025.