Method of Extended Domain and General Principles of Mesh Approximation for Boundary Problems of Structural Analysis

The distinctive paper is devoted to general principles of mesh approximation for boundary problems of structural analysis with the use of so-called method of extended domain, proposed by Prof. Alexander B. Zolotov. In particular we studied questions dealing with approximation of domain, approximation of functions and approximations of operators. Mesh functions are introduced as well as corresponding mesh operations and various types of implementation. The results are rather efficient algorithms in respect to number of operations, computing time and required memory.