When you use a numerical method like the finite element method, you divide a large body...

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Mechanical Engineering

When you use a numerical method like the finite element method,you divide a large body into an equivalent system of smaller bodiescalled elements. This is done because using an analytical method onthe larger body may require a solution to a boundary value partialdifferential equation; a task that might be difficult or impossibleto solve. The question: why does dividing a large object intosmaller objects help at all? If you divide a rectangle into tinyrectangles and ask each of those tiny rectangles the same questionthat you were asking the large rectangle (which would require thesolution to a boundary value differential equation), what good haveyou done? Please explain.

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Finite element method is a numerical method firstly you need to understand that so what is a numerical method lets cover that Numericalmethod is a mathematical tool designed to solve numerical problems The implementation of a numerical method with an appropriate convergence check in a programming language is called a numerical algorithm In our case we use numerical method term because we are trying to solve partial differantial equations with the help of finite element methods So basically we are doing some math in order to solve some equations Types of Finite Element Methods Linear systems Nonlinear systems So what See Answer

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