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C. Lacour, "On the Mortar Triangular Discrete Kirchoff Finite Elements for Elastic Plates", in F. Magoulès, (Editor), "Mesh Partitioning Techniques and Domain Decomposition Methods", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 13, pp 321-347, 2007. doi:10.4203/csets.17.13

Keywords: domain decomposition method, mortar method, discrete Kirchhoff triangles, consistency error, best fit error.

Abstract

This chapter deals with the analysis of a non-conforming domain decomposition method, the mortar element method for solving systems of equations arising from Discrete Kirchhoff Triangles (DKT) finite element discretisation of a model fourth-order elliptic problem. We define the spaces of approximation and the decomposed discrete problem which of course relies on the variational formulation of the continuous one. We verify the uniform ellipticity and the uniform continuity (independent from the discretisation parameter) of the discrete bilinear form. We present a mathematical analysis of the method and derive optimal consistency error and best fit error.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Computational Science, Engineering & Technology Series ISSN 1759-3158 CSETS: 17 MESH PARTITIONING TECHNIQUES AND DOMAIN DECOMPOSITION METHODS Edited by: F. Magoulès Chapter 13 On the Mortar Triangular Discrete Kirchoff Finite Elements for Elastic Plates C. Lacour I3M, UMR CNRS 5149 Equipe ACSIOM, University of Montpellier II, France doi:10.4203/csets.17.13 purchase the full-text of this chapter Full Bibliographic Reference for this chapter C. Lacour, "On the Mortar Triangular Discrete Kirchoff Finite Elements for Elastic Plates", in F. Magoulès, (Editor), "Mesh Partitioning Techniques and Domain Decomposition Methods", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 13, pp 321-347, 2007. doi:10.4203/csets.17.13 Keywords: domain decomposition method, mortar method, discrete Kirchhoff triangles, consistency error, best fit error. Abstract This chapter deals with the analysis of a non-conforming domain decomposition method, the mortar element method for solving systems of equations arising from Discrete Kirchhoff Triangles (DKT) finite element discretisation of a model fourth-order elliptic problem. We define the spaces of approximation and the decomposed discrete problem which of course relies on the variational formulation of the continuous one. We verify the uniform ellipticity and the uniform continuity (independent from the discretisation parameter) of the discrete bilinear form. We present a mathematical analysis of the method and derive optimal consistency error and best fit error. purchase the full-text of this chapter (price £25) go to the previous chapter go to the next chapter return to the table of contents return to the book description purchase this book (price £95 +P&P)
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