Abstract
In this paper, we consider a numerical technique which enables us to verify the existence of solutions for the elasto-plastic torsion problems governed by the variational inequality. Based upon the finite element approximations and the explicit a priori error estimates for a simple problem, we present an effective verification procedure that through numerical computation generates a set which includes the exact solution. This paper is an extension of the previous paper [1] in which we mainly dealt with the obstacle problems, but some special techniques are utilized to verify the solutions for nondifferentiable nonlinear equations concerned with the present problem. A numerical example is illustrated.
| Original language | English |
|---|---|
| Pages (from-to) | 195-204 |
| Number of pages | 10 |
| Journal | Computers and Mathematics with Applications |
| Volume | 39 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 2000 |
| Externally published | Yes |
ASJC Scopus subject areas
- Modelling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics
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Cite this
Nakao, M. T., Lee, S. H., & Ryoo, C. S. (2000). Numerical verification of solutions for elasto-plastic torsion problems. Computers and Mathematics with Applications, 39(3-4), 195-204. https://doi.org/10.1016/S0898-1221(99)00345-4