Question about FEM theory
Hi everyone,
May I ask a question about FEM theory? Why we multiply the residual with a weighting function? Why we don't just minimize the residual? Best, lnk 
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Best, lnk 
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as "projection" I mean the integral of the product of the two functions. The choice of the testfunctions is quite general, you can see also spectral methods and finite volume methods as particular derivation of a specific choice 
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I extracted a page, hoping that can help you

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