The Use of Energy Theorems to Obtain Upper and Lower Bounds
- 1 February 1975
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 15 (1) , 109-119
- https://doi.org/10.1093/imamat/15.1.109
Abstract
Many equations of mathematical physics may be written in the form T*Tu ≡ f. In this paper, we show how straightforward generalizations of the energy theorems of elasticity may be used to obtain upper and lower bounds on the solution of boundary value problems. The results are compared with those obtained by other methods.Keywords
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