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摘要
We derive residual-based a posteriori error estimates of optimal order for time discretizations of linear parabolic equations by the fractional-step theta-scheme. We first consider the time semidiscrete problem. The main tool of our analysis is an appropriate reconstruction of the piecewise linear interpolant of the approximate solution that leads to a residual of optimal order. Next we extend the above-mentioned results to the case of a full discretization. The theoretical results are justified with numerical experiments.
- 出版日期2012-1
