What Does Variational Formulation Mean in Finite Element Methods?

Thread starter pamparana
Start date Dec 9, 2009

AI Thread Summary

Variational formulation in finite element methods (FEM) refers to a mathematical approach that transforms partial differential equations (PDEs) into a form suitable for approximation. This method involves defining a functional, which is typically derived from the original PDE, and seeking solutions that minimize or optimize this functional. The variational approach allows for the use of approximate solutions, facilitating the analysis and computation of complex problems. It is crucial in ensuring that the solutions adhere to certain physical principles, such as conservation laws. Understanding variational formulation is essential for effectively applying FEM in various engineering and scientific applications.

Dec 9, 2009

pamparana

Hello,

See this word a lot on internet articles about FEM and such. However, no one explains what actually the term means? I could see that it has something to do with starting with approximate solutions.

Anyone has any idea about this?

Thanks,
Luc

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Dec 11, 2009

JSuarez

Finite Element Methods: they are used to approximate solutions of PDE's.

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