Computational geometry, mathematical and structural modeling, parametric design systems, and real-time collaborative simulation frameworks.

Artur Arakelyan completed his undergraduate studies at the Institute of Applied Mathematics and Informatics at the Russian-Armenian University. He is currently pursuing his master’s degree at the Institute of Informatics and Computer Engineering of the National Academy of Sciences of the Republic of Armenia. Artur Arakelyan is a key member of the research team at the Institute of Mechanics at the National Academy of Sciences of the Republic of Armenia. As a member of the team, he is working on the project 25RG-2C167 and is involved in mathematical modeling of specific plate theory problems. Besides this, he currently works as a software engineer specializing in computational geometry, mathematical modeling, and full-stack web development. Artur is one of the main contributors to BeeGraphy, an online 2D/3D parametric modeling platform powered by the OpenCascade engine. He has actively worked on developing node-based mathematical and physical simulation frameworks, integrating peer-to-peer synchronization, real-time collaborative systems, and exporter engines supporting various CAD and 3D file formats such as STEP, STL, IGES, OBJ, GLB, and DXF. Through his work, Artur Arakelyan aims to bridge mathematics, physics, and software engineering—creating accessible tools for computational design, engineering education, and scientific visualization. Reference: Nature of wave propagation magnetostrictive media The propagation characteristics of plane waves in elastic, dielectric, magnetostrictive media in the presence of a constant magnetic field  are investigated. The study is based on the linear differential equations and boundary conditions that describe the behavior of perturbations in elastic magnetostrictive media interacting with magnetic fields. It is demonstrated that three types of waves can propagate in such media: quasi-longitudinal magnetostrictionally bounded waves, quasi-transversal magnetostrictionally bounded waves, and transversal unbounded waves. The unbounded wave is characterized by particle vibrations that are perpendicular to the plane formed by the direction of the magnetic field and the direction  of wave propagation. Furthermore, it is shown that: a) In the case of , one of these waves is purely longitudinal, while the remaining two are purely transversal and propagate with different velocities. b) In the case of  (similarly to the case of purely elastic plane waves), a purely longitudinal magnetoelastic wave and a purely transversal wave propagate unbounded in the medium under consideration, with their propagation velocities depending on the magnitude of the magnetic field induction.