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May 9, 2012, 09:50
#1
New Member

DJChoi
Join Date: Jan 2012
Posts: 8
Rep Power: 8
Hello?

I want to do Gauss quadrature over triangle as attachted file.
I would like to know how to find the points and weights for Gauss quadrature.

Thanks.
Attached Images
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 May 10, 2012, 06:43 #2 Senior Member   cfdnewbie Join Date: Mar 2010 Posts: 557 Rep Power: 13 Just map the triangle to a rectangle, and apply the 1d Gauss quadrature in a tensor product way! effort8 likes this.

 May 10, 2012, 09:15 #3 Super Moderator     Praveen. C Join Date: Mar 2009 Location: Bangalore Posts: 277 Blog Entries: 6 Rep Power: 11 Here are some quadrature rules http://people.sc.fsu.edu/~jburkardt/.../dunavant.html Also, check any good book on fem. effort8 likes this.

 May 10, 2012, 09:23 #4 Senior Member   Jonas T. Holdeman, Jr. Join Date: Mar 2009 Location: Knoxville, Tennessee Posts: 116 Rep Power: 11 effort8 likes this.

 May 10, 2012, 09:33 #5 New Member   DJChoi Join Date: Jan 2012 Posts: 8 Rep Power: 8 Hi, cfdnewbie. Thank you for your answer. I know the mapping the triangle to a rectangle. And I can apply the 1d Gauss quadrature. But I don't know how to apply the 1d Gauss quadrature in a tensor product way. Would you tell me the way how to do that, please ? Or, would you recommend any book written that way, please ? Last edited by effort8; May 10, 2012 at 09:54.

 May 10, 2012, 09:40 #6 New Member   DJChoi Join Date: Jan 2012 Posts: 8 Rep Power: 8 Hi, praveen. Hi, Jonas Holdeman praveen. Thank-you for useful information about website. One more question. Would you tell me the transformation mapping from "(-1,-1),(1,-1),(-1,1)" to "(0,0), (1,0), (0,1)" ? I would like to know the transformation mapping equation. Last edited by effort8; May 10, 2012 at 09:57.

 May 10, 2012, 11:19 #7 Senior Member   Jonas T. Holdeman, Jr. Join Date: Mar 2009 Location: Knoxville, Tennessee Posts: 116 Rep Power: 11 It is a simple scale and shift. x=(1+q)/2, y=(1+r)/2, for q=+/- 1, r=+/- 1. effort8 likes this.

 May 11, 2012, 01:03 #8 New Member   DJChoi Join Date: Jan 2012 Posts: 8 Rep Power: 8 Hi, Jonas Holdeman Thank-you for your answer. Your answer is big help to me.

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