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The second technique uses an incomplete factorization of the isotropic approximation to the stiffness matrix. Results concerning existence, stability and efficiency of these preconditioning techniques are presented. The efficiency and robustness of the described techniques are illustrated by numerical experiments.<\/jats:p>","DOI":"10.1002\/nla.1680010203","type":"journal-article","created":{"date-parts":[[2005,11,1]],"date-time":"2005-11-01T18:21:13Z","timestamp":1130869273000},"page":"107-128","source":"Crossref","is-referenced-by-count":61,"title":["Displacement decomposition\u2014incomplete factorization preconditioning techniques for linear elasticity problems"],"prefix":"10.1002","volume":"1","author":[{"given":"Radim","family":"Blaheta","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2005,7,8]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01934996"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0129053389000093"},{"key":"e_1_2_1_4_2","volume-title":"Finite Element Solution of Boundary Value Problems","author":"Axelsson O.","year":"1984"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7825(78)90026-9"},{"key":"e_1_2_1_6_2","first-page":"T638","article-title":"Incomplete factorization preconditioning techniqes for linear elasticity problems","volume":"71","author":"Blaheta R.","year":"1991","journal-title":"Z. angew. Math. Mech."},{"key":"e_1_2_1_7_2","first-page":"1911","volume-title":"Numerical Methods in Geomechanics","author":"Blaheta R.","year":"1988"},{"key":"e_1_2_1_8_2","doi-asserted-by":"crossref","first-page":"411","DOI":"10.21136\/AM.1993.104564","article-title":"Efficient inexact Newton\u2010like methods with application to problems of the deformation theory of plasticity","volume":"38","author":"Blaheta R.","year":"1993","journal-title":"Appl. Math."},{"key":"e_1_2_1_9_2","unstructured":"R.BlahetaandR.Kohut.Inexact Newton\u2010like methods with application in elasto\u2010plastic incremental analysis.Proceedings of the GAMM Seminar on Multigrid Methods Gosen 1992. IAAS Report No. 5 Berlin 1993."},{"key":"e_1_2_1_10_2","unstructured":"R.Blaheta R.Kohut J.Mal\u00edkandJ.Sl\u00edva.GEM22\u2014User guide. HO\u00fa \u010cSAV Ostrava 1989(in Czech)."},{"key":"e_1_2_1_11_2","unstructured":"I.Gustafsson.Stability and rate of convergence of modified incomplete Cholesky factorization methods. Report 79.02R. Dept. of Comp. Sci. Chalmers University of Technology Goteborg Sweden 1979."},{"key":"e_1_2_1_12_2","first-page":"265","volume-title":"Preconditioning Methods. Theory and Applications","author":"Gustafsson I.","year":"1983"},{"key":"e_1_2_1_13_2","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1090\/S0025-5718-1980-0559197-0","article-title":"An incomplete factorization technique for positive definite linear systems","volume":"34","author":"Manteuffel T. A.","year":"1980","journal-title":"Math. Comp."},{"key":"e_1_2_1_14_2","volume-title":"Mathematical Theory of Elastic and Elasto\u2010Plastic Bodies","author":"Ne\u010das J.","year":"1981"},{"key":"e_1_2_1_15_2","volume-title":"The Finite Element Method in Engineering","author":"Zienkiewicz O. 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