Liu, W.B. (2000) Degenerate Quasilinear Elliptic Equations Arising From Bimaterial Problems in Elastic-Plastic Mechanics II. Numerische Mathematik, 86 (3). pp. 497-506. ISSN 0029-599X.
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| Official URL http://dx.doi.org/10.1007/s002110000157 |
Abstract
In [13], a nonlinear elliptic equation arising from elastic-plastic mechanics is studied. A well-posed weak formulation is established for the equation and some regularity results are further obtained for the solution of the boundary problem. In this work, the finite element approximation of this boundary problem is examined in the framework of [13]. Some error bounds for this approximation are initially established in an energy type quasi-norm, which naturally arises in degenerate problems of this type and proves very useful in deriving sharper error bounds for the finite element approximation of such problems. For sufficiently regular solutions optimal error bounds are then obtained for some fully degenerate cases in energy type norms.
| Item Type: | Article |
|---|---|
| Subjects: | H Social Sciences > HA Statistics > HA33 Management Science |
| Divisions: | Faculties > Social Sciences > Kent Business School |
| Depositing User: | Steve Wenbin Liu |
| Date Deposited: | 01 Jun 2009 06:37 |
| Last Modified: | 21 May 2011 00:34 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/8481 (The current URI for this page, for reference purposes) |
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