A posteriori finite element bounds for sensitivity derivatives of partial-differential-equation outputs

被引：3
|
作者：
Lewis, RM
Patera, AT
Peraire, J
机构：
[1] NASA, Langley Res Ctr, ICASE, Hampton, VA 23681 USA
[2] MIT, Dept Mech Engn, Cambridge, MA 02139 USA
[3] MIT, Dept Aeronaut & Astronaut, Cambridge, MA 02139 USA
来源：
FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2000年 / 34卷 / 3-4期
关键词：
A posteriori finite element bounds; sensitivity calculations; sensitivity equations;
D O I：
10.1016/S0168-874X(99)00043-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a Neumann-subproblem a posteriori finite element procedure for the efficient and accurate calculation of rigorous, "constant-free" upper and lower bounds for sensitivity derivatives of functionals of the solutions of partial differential equations. The design motivation for sensitivity derivative error control is discussed; the a posteriori finite element procedure is described; the asymptotic bounding properties and computational complexity of the method are summarized; and illustrative numerical results are presented. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：271 / 290
页数：20
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