Abstract
A mesh independent bound is given for the superlinear convergence of the CGM for preconditioned self-adjoint linear elliptic problems using suitable equivalent operators. The results rely on K-condition numbers and related estimates for compact Hilbert-Schmidt operators in Hilbert space.
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This research was supported by the Hungarian National Research Fund OTKA under grant No. T043765.
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Karatson, J. Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators. Appl Math 50, 277–290 (2005). https://doi.org/10.1007/s10492-005-0017-z
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DOI: https://doi.org/10.1007/s10492-005-0017-z