ABSTRACT
The mathematical physics problems whose solutions depend only on the spatial variables and do not depend on the time are usually called stationary problems. Otherwise these problems are called nonstationary, or time-dependent, or unsteady problems. The finite element method has gained widespread acceptance as an efficient method for the solution of the various problems of the mathematical physics and technology. Such a popularity of the method can be explained by the simplicity of its physical interpretation, of its mathematical form and versatile numerical algorithms facilitating the programming of complex problems. The chapter presents a grid generation technique, which is based on the numerical solution of certain elliptic partial differential equations. It also presents the case of a completely specified boundary, which requires an elliptic partial differential system. The chapter describes an algorithm for the local approximation study of difference operators and difference schemes on logically rectangular grids.
