A posteriori error estimate of approximate solutions to a mildly nonlinear elliptic boundary value problem
On a method for a-posteriori error estimation of approximate solutions to parabolic problems
The aim of the paper is to derive a method for the construction of a-posteriori error estimate to approximate solutions to parabolic initial-boundary value problems. The computation of the suggested error bound requires only the computation of a finite number of systems or linear algebraic equations. These systems can be solved parallelly. It is proved that the suggested a-posteriori error estimate tends to zero if the approximation tends to the true solution.
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