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A SET OF SYMMETRIC QUADRATURE RULES ON TRIANGLES AND TETRAHEDRA
Authors:Linbo Zhang Tao Cui Hui Liu LSEC  ICMSEC  Academy of Mathematics  Systems Science  Chinese Academy of Sciences  Beijing  China
Institution:Linbo Zhang Tao Cui Hui Liu LSEC,ICMSEC,Academy of Mathematics , Systems Science,Chinese Academy of Sciences,Beijing 100190,China
Abstract:We present a program for computing symmetric quadrature rules on triangles and tetrahedra.A set of rules are obtained by using this program.Quadrature rules up to order 21 on triangles and up to order 14 on tetrahedra have been obtained which are useful for use in finite element computations.All rules presented here have positive weights with points lying within the integration domain.
Keywords:Finite element  Numerical integration  Quadrature  Cubature  Triangle  Tetrahedron  
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