A posteriori finite element bounds for sensitivity derivatives of partial-differential-equation outputs
type: Item
instance of: scholarly article
title: A posteriori finite element bounds for sensitivity derivatives of partial-differential-equation outputs
zbMATH Open document ID: 0946.65100
DOI: 10.1016/S0168-874X(99)00043-8
author: Robert Michael Lewis
author: J. Peraire
author: Anthony T. Patera
published in: Finite Elements in Analysis and Design
publication date: 2000-06-04T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1454321
zbMATH Keywords: a posteriori finite element bounds
zbMATH Keywords: sensitivity calculations
zbMATH Keywords: sensitivity equations
zbMATH Keywords: upper and lower bounds
zbMATH Keywords: error control
zbMATH Keywords: computational complexity
zbMATH Keywords: numerical results
Wikidata QID: Q115339525
MaRDI profile type: Publication
full work available at URL: s0168-874x(99)00043-8
OpenAlex ID: W2128542194
description: scientific article; zbMATH DE number 1454321