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August 17, 2012, 14:23 
Question about FEM theory

#1 
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lnk
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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 

August 17, 2012, 16:20 

#2 
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Filippo Maria Denaro
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August 17, 2012, 16:31 

#3 
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lnk
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August 17, 2012, 16:45 

#4  
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Filippo Maria Denaro
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Quote:
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 

August 17, 2012, 17:01 

#5 
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lnk
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But won't we have better result ( lowest integrated residual ) if we only minimize the integrated residual without multiplying the residual with weighting function?


August 17, 2012, 17:19 

#6 
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Filippo Maria Denaro
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August 17, 2012, 17:26 

#7 
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Filippo Maria Denaro
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I extracted a page, hoping that can help you


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