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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.9
Built-in Field Equations for Patch Recovery Procedures using Weighted Residuals J. Aalto and M. Perala
Department of Civil Engineering, University of Oulu, Oulu, Finland Full Bibliographic Reference for this paper
J. Aalto, M. Perala, "Built-in Field Equations for Patch Recovery Procedures using Weighted Residuals", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 135-150, 1996. doi:10.4203/ccp.39.2.9
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 the method of
weighted residuals. 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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