INTERIOR ERROR ESTIMATES FOR A MIXED FINITE-ELEMENT METHOD

被引:7
作者
SCHOLZ, R
机构
[1] Institut fūr Anmewandte Mathematik, Albert Ludwigs-Universität, 7800 Freiburg
关键词
D O I
10.1080/01630567908816025
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The solution of the fourth order problem Λ 2 u = f in Ω, u = du/dv =0 on dΩ, Ω bounded in R2, and its Laplacian are approximated by polynomial finite elements of the same degree. It is shown that in any subdomain Ωo Ω the approximation to - λ u converges with ‘nearly’ the same order as the approximation to u does provided u is sufficiently regular. Copyright © 1979 by Marcel Dekker, Inc. All Rights Reserved.
引用
收藏
页码:415 / 429
页数:15
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