Simplexe de Lagrange de degr¨¦ et de dimension arbitraire

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• 作者：Paul Louis  ; George^a ;   ; ^{paul-louis.george@inria.fr} ; Houman  ; Borouchaki^b ;   ; ^{houman.borouchaki@utt.fr}
• 刊名：Comptes Rendus Mathematique
• 出版年：2011
• 出版时间：August 2011
• 年：2011
• 卷：349
• 期：15-16
• 页码：905-910
• 全文大小：153 K

文摘

There is a need for finite elements of degree 2 or more to solve various P.D.E. problems. This Note discusses the theoretical issues about Lagrange simplicial finite elements of arbitrary order and dimension. The purpose is to give the theoretical frame to be applied in actual cases (2 and 3 dimension, degree ). We show how finite elements and B¨¦zier patches are related and we deduce a validity condition.