A new error indicator based on stresses for adaptive meshing with Hermite boundary elements
type: Item
instance of: scholarly article
title: A new error indicator based on stresses for adaptive meshing with Hermite boundary elements
zbMATH Open document ID: 0977.74074
DOI: 10.1016/S0955-7997(99)00014-4
author: K. H. Muci-Küchler
author: J. C. Miranda-Valenzuela
published in: Engineering Analysis with Boundary Elements
publication date: 2002-01-17T00:00:00Z
review text: The authors present a new error indicator for adaptive meshing with Hermite boundary elements. The error indicator measures, in an approximate fashion, the error in the numerical solution for stresses. The basic idea is to compare, on an element-by-element basis, a solution for stresses obtained with Hermite elements with another reduced solution. This reduced solution is obtained by approximating the field variables inside each element by Lagrangian shape functions together with the nodal values for displacements and tractions that can be obtained from the analysis with Hermite elements. Due to its simplicity and reliability, this new error indicator can be very convenient to treat adaptive processes.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 1452645
zbMATH Keywords: boundary integral equations
zbMATH Keywords: error indicator
zbMATH Keywords: adaptive meshing
zbMATH Keywords: Hermite boundary elements
zbMATH Keywords: stresses
zbMATH Keywords: Lagrangian shape functions
reviewed by: Jan Sladek
MaRDI profile type: Publication
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full work available at URL: s0955-7997(99)00014-4
OpenAlex ID: W2073947010
description: scientific article; zbMATH DE number 1452645