Introduction to Advanced Finite Element Methods

The study of the specific elements of our time has become very important and necessary to learn and know the foundations and principles on which the theories of the specific elements are based. It is one of the mathematical methods used to solve differential equations numerically. And it depends on the idea of dividing the studied medium into a number of geometric shapes, "triangles, rectangles, or any other form." This division is called the network, and each triangle is called an element. The continuous mean behavior governed by the total studied partial or total differential equations can be deduced from the direct summation of the numerical solutions of the parts or formed elements of it. The method can be applied to any continuous medium, for example: structural, planar, or volumetric origin, or on a liquid medium, and any physical matter that can be described by differential equations. The specific elements of linear, planar, and space issues have been developed. From engineering applications to the method of specific elements: Civil Engineering Installations: The finite element method uses static and dynamic analysis.