On a mesh optimization method based on a minimization of interpolation error
type: Item
instance of: scholarly article
title: On a mesh optimization method based on a minimization of interpolation error
zbMATH Open document ID: 0591.65009
DOI: 10.1016/0020-7225(86)90148-5
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: A new optimization technique for the finite element method (FEM) is presented. Such a technique essentially emerges from two main works: A series of papers by \textit{J. U. Brackbill} [Appl. Math. Comput. 10-11, 277-295 (1982; Zbl 0499.76011)] and \textit{J. U. Brackbill} and \textit{J. Saltzman} [J. Comput. Phys. 46, 342-368 (1982; Zbl 0489.76007) and Appl. Math. Comput. 10-11, 865-884 (1982; Zbl 0493.65066)] and a recent paper by \textit{A. Diaz}, \textit{V. Kikuchi} and \textit{J. Taylor} [Comput. Methods Appl. Mech. Eng. 41, 29-45 (1983; Zbl 0509.73071)]. In the present paper the authors determine suboptimal (rather than optimal) meshes for minimizing the interpolation error, which result in a better FEM approximation. Thus the authors' method appears to be a generalization of the mesh generation technique especially from a practical, computational point of view.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 3949574
zbMATH Keywords: suboptimal meshes
zbMATH Keywords: finite element method
zbMATH Keywords: interpolation error
zbMATH Keywords: mesh generation
author: Leszek Demkowicz
author: J. Tinsley Oden
reviewed by: H. P. Dikshit
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90148-5
OpenAlex ID: W2070941782
cites work: Coordinate system control: Adaptive meshes
cites work: Adaptive zoning for singular problems in two dimensions
cites work: Applications and generalizations of variational methods for generating adaptive meshes
cites work: A method of grid optimization for finite element methods
cites work: Q3675475
cites work: Grading Functions and Mesh Redistribution
cites work: Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
description: scientific article; zbMATH DE number 3949574