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L.M. Santos Castro and J.A. Teixeira de Freitas

Departmenta de Engenharia Civil, Universidade Tecnica de Lisboa, Lisbon, Portugal

doi:10.4203/ccp.19.4.1

L.M. Santos Castro, J.A. Teixeira de Freitas, "On the Implementation of a Mixed Finite Element Formulation based on Digital Interpolation", in B.H.V. Topping, (Editor), "Developments in Computational Engineering Mechanics", Civil-Comp Press, Edinburgh, UK, pp 71-79, 1993. doi:10.4203/ccp.19.4.1

Abstract

A mixed finite element formulation is applied to the solution of linear elastostatic problems. In this formulation, the stress and displacement fields in the domain and the boundary displacements are independently interpolated using digital functions. Both p- and h- hierarchical solution refinement procedure's are used. The governing system can be large in dimension but is well structured and highly sparse. Consequently, the use of adequate algorithms to store and manipulate sparse matrices is essential to ensure the numerical efficiency of the model. The most currently applied methods to solve large, sparse systems of linear equations are presented, tested and discussed. Numerical examples are used to test the performance of the mixed finite element model suggested and to illustrate its numerical implementation.

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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: 19 DEVELOPMENTS IN COMPUTATIONAL ENGINEERING MECHANICS Edited by: B.H.V. Topping Paper IV.1 On the Implementation of a Mixed Finite Element Formulation based on Digital Interpolation L.M. Santos Castro and J.A. Teixeira de Freitas Departmenta de Engenharia Civil, Universidade Tecnica de Lisboa, Lisbon, Portugal doi:10.4203/ccp.19.4.1 purchase the full-text of this paper Full Bibliographic Reference for this paper L.M. Santos Castro, J.A. Teixeira de Freitas, "On the Implementation of a Mixed Finite Element Formulation based on Digital Interpolation", in B.H.V. Topping, (Editor), "Developments in Computational Engineering Mechanics", Civil-Comp Press, Edinburgh, UK, pp 71-79, 1993. doi:10.4203/ccp.19.4.1 Abstract A mixed finite element formulation is applied to the solution of linear elastostatic problems. In this formulation, the stress and displacement fields in the domain and the boundary displacements are independently interpolated using digital functions. Both p- and h- hierarchical solution refinement procedure's are used. The governing system can be large in dimension but is well structured and highly sparse. Consequently, the use of adequate algorithms to store and manipulate sparse matrices is essential to ensure the numerical efficiency of the model. The most currently applied methods to solve large, sparse systems of linear equations are presented, tested and discussed. Numerical examples are used to test the performance of the mixed finite element model suggested and to illustrate its numerical implementation. 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 £58 +P&P)
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