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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, C^O-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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.39.2.7 purchase the full-text of this paper 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, C^O-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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £85 +P&P)
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