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Polynomial representations for patch recovery procedures

delete1999-10-01
delete5
PRE
AI
J
Jukka Aalto *
M
Massoud Aman
DOI：10.1016/S0045-7949(98)00282-Xdelete
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Abstract

Abstract

En 中文
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 contain 'built-in' information from the field equations, is presented. This technique is based on the power series method. A simple patch recovery technique, which: uses this local representation to get improved, C-0-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. (C) 1999 Civil-Comp Ltd and Elsevier Science Ltd. All rights reserved.
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Journal

C
Computers and Structures
IF:
4.8
Papers:
6.2K
Citations:
1.7W

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