Hniezdovsky O. Open object-oriented architecture of finite element analysis systems

The dissertation is devoted to the development of an open object-oriented architecture, which can be used in the development of both universal and specialized finite element analysis systems of broad classes of boundary value problems. Nowadays, a large number of topical problems of science and technology lead to the need to solve various types of boundary problems. For most of them, it is currently impossible to obtain exact analytical solutions, which requires the creation of appropriate mathematical and software for the approximate numerical solution of differential equations (ordinary and partial derivatives) or their systems. Today, the most common method of approximate solution of boundary value problems is the finite element method (FEM). A significant amount of both universal and specialized software (software) has been created for its use. Abaqus, Ansys, FreeFEM, Mathematica, Nastran, OpenCAD and many others can be noted among the most well-known finite element analysis programs (proprietary and open source). It should be noted here that a large number of such software has been developed (and is constantly being developed), as it is intended both for solving different types of problems and for different forms of application (commercial, educational, scientific, open source, etc.). In addition, the capabilities of computing (multiprocessor systems have become widespread recently) and the requirements of practice (for example, the need to consider the use of new types of materials, such as composites or materials with memory) are constantly changing. The vast majority of available finite element analysis programs are implemented in the C and C programming languages. It should be noted that making changes to such software for its adaptation to solving new classes of problems due to the complexity of S...