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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 39
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
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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