We propose an approach to a posteriori improvement of approximations in projection methods for solving linear equations with selfadjoint positive definite operators. In particular, we consider the finite element method for two-dimensional boundary value problems.
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S. G. Mikhlin, “Variational–difference approximation,” J. Math. Sci. 10, 661–787 (1978).
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Translated from Problemy Matematicheskogo Analiza 120, 2023, pp. 19-33.
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Dem’yanovich, Y., Lebedinskaya, N.A. Local Refinement of Solutions in the Finite Element Method. J Math Sci 269, 18–35 (2023). https://doi.org/10.1007/s10958-023-06252-0
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DOI: https://doi.org/10.1007/s10958-023-06252-0