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M.H.B.M. Shariff

School of Computing and Mathematics, University of Teesside, Middlesbrough, England

doi:10.4203/ccp.57.3.6

M.H.B.M. Shariff, "A Modified Augmented Lagrangian Method for Nearly Incompressible Problems", in B.H.V. Topping, (Editor), "Developments in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 101-106, 1999. doi:10.4203/ccp.57.3.6

Abstract

A modified augmented Lagrangian method and its associated variational principles for nearly incompressible elastic problems are presented. It is equivalent to the augmented Lagrangian method when specialised to an incompressible problem. The method solves a mixed finite element formulation and is suitable for large scale problems, parallel processing and distributed computing. Convergent analyses of the method are given and applicability of the proposed method to other similar problems is indicated via a simple non-finite element, numerical test problem. A two-dimensional finite element test problem is given using an LBB element.

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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: 57 DEVELOPMENTS IN COMPUTATIONAL MECHANICS WITH HIGH PERFORMANCE COMPUTING Edited by: B.H.V. Topping Paper III.6 A Modified Augmented Lagrangian Method for Nearly Incompressible Problems M.H.B.M. Shariff School of Computing and Mathematics, University of Teesside, Middlesbrough, England doi:10.4203/ccp.57.3.6 purchase the full-text of this paper Full Bibliographic Reference for this paper M.H.B.M. Shariff, "A Modified Augmented Lagrangian Method for Nearly Incompressible Problems", in B.H.V. Topping, (Editor), "Developments in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 101-106, 1999. doi:10.4203/ccp.57.3.6 Abstract A modified augmented Lagrangian method and its associated variational principles for nearly incompressible elastic problems are presented. It is equivalent to the augmented Lagrangian method when specialised to an incompressible problem. The method solves a mixed finite element formulation and is suitable for large scale problems, parallel processing and distributed computing. Convergent analyses of the method are given and applicability of the proposed method to other similar problems is indicated via a simple non-finite element, numerical test problem. A two-dimensional finite element test problem is given using an LBB element. 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 £70 +P&P)
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