On the Use of Dual Variational Principles for the Estimation of Error in Approximate Solutions of Diffusion Problems
作者:
YasinskyJ. B.,
KaplanS.,
期刊:
Nuclear Science and Engineering
(Taylor Available online 1968)
卷期:
Volume 31,
issue 1
页码: 80-90
ISSN:0029-5639
年代: 1968
DOI:10.13182/NSE68-A18010
出版商: Taylor&Francis
数据来源: Taylor
摘要:
AbstractAn exploration is made into a method for using reciprocal variational problems to develop figures of merit for approximate solutions of diffusion problems. The theory of the reciprocal problems is described in both a continuous and discrete context. Connections with the method of Slobodyansky are discussed. A strategem is presented for extending the method to the (non-self-adjoint) group-diffusion case. Limitations of the method are discussed and numerical examples given. It is concluded that the method is useful in one-, two-, and perhaps in small three- dimensional problems but is probably computationally not practical for full-blown, detailed, three-dimensional calculations.
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