THE INTERPOLATION THEOREM FOR NARROW QUADRILATERAL ISOPARAMETRIC FINITE-ELEMENTS

被引：39

作者：

ZENISEK, A ^{[1
]}

VANMAELE, M ^{[1
]}

机构：

[1] UNIV OXFORD,COMP LAB,NUMER ANAL GRP,OXFORD OX1 3QD,ENGLAND

来源：

NUMERISCHE MATHEMATIK | 1995年 / 72卷 / 01期

关键词：

Mathematics Subject Classification (1991):65N30;

D O I：

10.1007/s002110050163

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The interpolation theorem for convex quadrilateral isoparametric finite elements is proved in the case when the condition rho(K)/h(K) greater than or equal to rho(0) > 0 is not satisfied, where h(K) is the diameter of the element K and rho(K) is the radius of an inscribed circle in K. The interpolation error is O(h(K)(2)) in the L(2)(K)-norm and O(h(K)) in the H-1(K)-norm provided that the interpolated function belongs to H-2(K). In the case when the long sides of the quadrilateral K are parallel the constants appearing in the estimates are evaluated.

引用

页码：123 / 141

页数：19

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