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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 39
ADVANCES IN FINITE ELEMENT TECHNOLOGY Edited by: B.H.V. Topping
Paper II.7
Polynomial Representations with Built-in Field Equations for Patch Recovery Procedures J. Aalto and M. Aman
Department of Civil Engineering, University of Oulu, Oulu, Finland Full Bibliographic Reference for this paper
J. Aalto, M. Aman, "Polynomial Representations with Built-in Field Equations for Patch Recovery Procedures", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 109-125, 1996. doi:10.4203/ccp.39.2.7
Abstract
A technique of constructing a local polynomial representation
for the unknown function of a boundary
value problem and the corresponding derivative
quantities of interest, which contains "built-in"
the information from the field equations, is presented.
This technique is based on power series
method. A simple patch recovery technique, which
uses this local representation to get improved,
CO-continuous, smoothed finite element approximations
for the derivative quantities (such as gradient
components or strains) from the results of standard
finite element analysis, is developed. A computationally
simple way of improving the results of
this patch recovery method by adding information
from the boundary conditions is further proposed.
Two model problems, the so-called quasi-harmonic
equation and the plane elasticity problem, are
studied numerically.
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