Error estimates for finite element approximations of effective elastic properties of periodic structures / Feluppskattningar för finita element-approximationer av effektiva elastiska egenskaper hos periodiska strukturer

Description

<p>Techniques for a posteriori error estimation for finite element approximations of an elliptic partial differential equation are studied.This extends previous work on localized error control in finite element methods for linear elasticity.The methods are then applied to the problem of homogenization of periodic structures. In particular, error estimates for the effective elastic properties are obtained. The usefulness of these estimates is twofold.First, adaptive methods using mesh refinements based on the estimates can be constructed.Secondly, one of the estimates can give reasonable measure of the magnitude ofthe error. Numerical examples of this are given.</p>

Links & Downloads

1. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-125632

Tags

error estimation

finite elements

Additional Fields

Identifer	oai:union.ndltd.org:UPSALLA/oai:DiVA.org:uu-125632
Date	January 2010
Creators	Pettersson, Klas
Publisher	Uppsala University, Division of Scientific Computing
Source Sets	DiVA Archive at Upsalla University
Language	English
Detected Language	English
Type	Student thesis, text
Relation	UPTEC F, 1401-5757 ; 10 034