What is the analysis of the final elements?
Analysis of final elements, or FeA, is a computer tool for bringing solutions to an otherwise unsolvable problem. It is commonly used in structural engineering, although it is also used in other problems such as fluid mechanics and heat flow. Most of the mathematical problems of practical applications are in fact too complicated to be analytically resolved, even if they do not require perfect solutions in most cases. Analysis of the final elements is numerical - unlike analytical - technique to obtain acceptably accurate solutions; It works by dividing the complicated problem into many simpler.
Analytical methods include solving a mathematical problem that provides perfect and continuous solutions. In other words, the solution is a function in terms of some variable, rather than numerical approximation. There is no degree of estimate or errors in the analytical solutions of the equation. Often, there are no known analytical solutions to the formulation of that model in the real world. INThey are numeric methods, of which the final element analysis is one of the examples to obtain an approximate solution. The analysis of the final elements
relies on the interruption of a complicated problem into a large number of less complex problems. When solving the problem shows very complicated behavior, it is sometimes acceptable to apply simplification. Often, however, a wide simplification represents too many mistakes to be useful. This is to help in the division of the problem into many separate problems. Simplified solutions for each element of the problem can be integrated together to provide a high -precision general solution.
In the analysis of final elements, the domain of the problem is divided into many smaller zones called elements. The collective body of the elements is called the net. The process of integration or summarizing many different elements works due to the way the elements interact on their borders. When border interactions P are understoodRights, the computer can expand the approximate solution from one element to another. Finally, the computer will "build" an approximate solution that is very close to the real world behavior.
One problem, which was commonly solved by the analysis of the final elements, is the distribution of voltage in a fixed piece of metal. When metal or any comparable material is exposed to forces, each part of the building has a certain stress on it. Although the applied forces are known, irregularly shaped objects are usually too complex to know the exact distribution of internal stresses. At this point, the analysis of the final elements can be used to calculate the approximate solution - element according to the element - for this problem. Visualization software can then be used to introduce this collection of information in an intuitive and coherent picture.