Computational Technology Resources - CCP

J. Aalto*, H. Sieppi* and E-M. Salonen#

*University of Oulu, Department of Civil Engineering, Oulu, Finland
#Faculty of Information Technology, Laboratory of Computational Dynamics, Helsinki University of Technology, Espoo, Finland

doi:10.4203/ccp.21.2.6

purchase the full-text of this paper

J. Aalto, H. Sieppi, E-M. Salonen, "A Least Squares Finite Element Formulation with Gradient Components as Unknowns", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 93-102, 1994. doi:10.4203/ccp.21.2.6

Abstract

Two modified least squares finite element formulations, which use the gradient components of the conventional unknowns (such as potential or displacements) of typical second order boundary value problems as basic unknowns, is presented. These unknowns are represented using a finite element approximation, which is C^O-continuous within each "material" and automatically satisfies the corresponding jump conditions along material interfaces. Thus quantities (such as fluxes of stresses), which are related to these basic unknowns by material law, are evaluated straightforwardly. In developing the least squares equations, special attention is paid to weighting of equations of physically different type properly and to developing a reliable formulation.

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 £60 +P&P)

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 21 ADVANCES IN POST AND PREPROCESSING FOR FINITE ELEMENT TECHNOLOGY Edited by: M. Papadrakakis and B.H.V. Topping Paper II.6 A Least Squares Finite Element Formulation with Gradient Components as Unknowns J. Aalto, H. Sieppi and E-M. Salonen# *University of Oulu, Department of Civil Engineering, Oulu, Finland #Faculty of Information Technology, Laboratory of Computational Dynamics, Helsinki University of Technology, Espoo, Finland doi:10.4203/ccp.21.2.6 purchase the full-text of this paper Full Bibliographic Reference for this paper J. Aalto, H. Sieppi, E-M. Salonen, "A Least Squares Finite Element Formulation with Gradient Components as Unknowns", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 93-102, 1994. doi:10.4203/ccp.21.2.6 Abstract Two modified least squares finite element formulations, which use the gradient components of the conventional unknowns (such as potential or displacements) of typical second order boundary value problems as basic unknowns, is presented. These unknowns are represented using a finite element approximation, which is C^O-continuous within each "material" and automatically satisfies the corresponding jump conditions along material interfaces. Thus quantities (such as fluxes of stresses), which are related to these basic unknowns by material law, are evaluated straightforwardly. In developing the least squares equations, special attention is paid to weighting of equations of physically different type properly and to developing a reliable formulation. 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 £60 +P&P)
Back to top	©Civil-Comp Limited 2023 - terms & conditions