一维、二维、三维高斯积分点及权重-gauss integrations and weights

一维、二维、三维高斯积分点及权重-gauss integrations and weights

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时间:2019-02-15

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1、实用标准Gaussintegrationsandweights(Containingtheprogram)高斯积分点以及权重目录1.1Dbarelement(p181computationmechanics)22.2Dtriangleelement(p230computationmechanics)43.2Dquadrilateralelement(p182computationmechanics)74.3Dtetrahedronelement(p231computationmechanics)95.3Dhexahedronelement(p187computationme

2、chanics)11文案大全实用标准1.1Dbarelement(p181computationmechanics)OrdernAccuracygrade(2*n-1)LocationξWeightw1110.02.0231-1/√31.021/√31.0351-√0.65/920.08/93√0.65/94710.8611363115940530.34785484513745420.3399810435848560.6521451548625463-0.3399810435848560.6521451548625464-0.8611363115940530.3478548

3、451374545910.9061798459386640.23692688505618920.5384693101056830.478628670499366300.5688888888888894-0.5384693101056830.4786286704993665-0.9061798459386640.23692688505618961110.9324695142031520.17132449237917020.6612093864662650.36076157304813930.2386191860831970.4679139345726914-0.2386191

4、860831970.4679139345726915-0.6612093864662650.3607615730481396-0.9324695142031520.17132449237917012231-0.9815606342467320.0471753363864754720.9041172563704520.10693932599536373-0.76990267419431770.16007832854335864-0.58731795428661430.2031674267230672文案大全实用标准5-0.36783149899818040.233492536

5、53835346-0.125233408511146880.249147045813402770.125233408511146880.249147045813402780.36783149899818040.233492536538353490.58731795428661430.2031674267230672100.76990267419431770.1600783285433586110.9041172563704520.1069393259953637120.9815606342467320.04717533638647547root3=1./sqrt(3.);r

6、15=.2*sqrt(15.)nip=ubound(s,1)w=(/5./9.,8./9.,5./9./);v=(/5./9.*w,8./9.*w,5./9.*w/)selectcase(element)case('line')selectcase(nip)case(1)s(1,1)=0.;wt(1)=2.case(2)s(1,1)=root3;s(2,1)=-s(1,1);wt(1)=1.;wt(2)=1.case(3)s(1,1)=r15;s(2,1)=.0;s(3,1)=-s(1,1)wt=wcase(4)s(1,1)=.861136311594053;s(2,1)=

7、.339981043584856s(3,1)=-s(2,1);s(4,1)=-s(1,1)wt(1)=.347854845137454;wt(2)=.652145154862546wt(3)=wt(2);wt(4)=wt(1)case(5)s(1,1)=.906179845938664;s(2,1)=.538469310105683s(3,1)=.0;s(4,1)=-s(2,1);s(5,1)=-s(1,1)wt(1)=.236926885056189;wt(2)=.478628670499366wt(3)=.56

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