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| Title: | Analysis of reduced finite element schemes in parameter dependent elliptic problems |
| Author(s): | Havu, Ville |
| Date: | 2001-12-14 |
| Language: | en |
| Pages: | 17, [84] |
| Department: | Department of Engineering Physics and Mathematics Teknillisen fysiikan ja matematiikan osasto |
| ISBN: | 951-22-5698-3 |
| Series: | Research reports / Helsinki University of Technology, Institute of Mathematics. A, 442 |
| ISSN: | 0784-3143 |
| Subject: | Mathematics |
| Keywords: | finite elements, locking, variational crime |
| OEVS yes | |
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Abstract:This thesis presents an analysis of modified finite element schemes applied to parameter dependent elliptic problems prone to locking. Two different problems of similar type are considered: the problem of anisotropic heat conduction and the thin shell problem.
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Parts:V. Havu, J. Pitkäranta: An Analysis of Finite Element Locking in a Parameter Dependent Model Problem, Numer. Math. 89 (2001) 4, 691-714, DOI 10.1007/s002110100277. [article1.pdf] © 2001 Springer-Verlag. By permission. View at Publisher V. Havu, J. Pitkäranta: Analysis of a Bilinear Finite Element for Shallow Shells I: Approximation of Inextensional Deformations, Helsinki University of Technology, Institute of Mathematics, Research Report A430 (2000). To appear in Math. Comp. [article2.pdf] © 2000 authors & American Mathematical Society. By permission.V. Havu, J. Pitkäranta: Analysis of a Bilinear Element for Shallow Shells II: Consistency Error, Helsinki University of Technology, Institute of Mathematics, Research Report A433 (2001). Submitted to Math. Comp. [article3.pdf] © 2001 authors & American Mathematical Society. By permission.V. Havu: An Analysis of Asymptotic Consistency Error in a Parameter Dependent Model Problem, Helsinki University of Technology, Institute of Mathematics, Research Report A434 (2001). Submitted to Numer. Math. [article4.pdf] © 2001 author & Springer-Verlag. By permission.V. Havu, H. Hakula: An Analysis of a Bilinear Reduced Strain Element in the Case of an Elliptic Shell in a Bending Dominated State of Deformation in Advances in Computational Engineering & Sciences, Satya N. Atluri, Frederick W. Brust (eds.) (2000), pp. 732-737. [article5.pdf] © 2000 Tech Science Press. By permission. |
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