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Journal Articles BIT Numerical Mathematics Year : 2021

An a posteriori-based adaptive preconditioner for controlling a local algebraic error norm

Abstract

This paper introduces an adaptive preconditioner for iterative solution of sparse linear systems arising from partial differential equations with self-adjoint operators. This preconditioner allows to control the growth rate of a dominant part of the algebraic error within a fixed point iteration scheme. Several numerical results that illustrate the efficiency of this adaptive preconditioner with a PCG solver are presented and the preconditioner is also compared with a previous variant in the literature.
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Dates and versions

hal-03013484 , version 1 (19-11-2020)

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Ani Anciaux-Sedrakian, Laura Grigori, Zakariae Jorti, Soleiman Yousef. An a posteriori-based adaptive preconditioner for controlling a local algebraic error norm. BIT Numerical Mathematics, 2021, 61 (1), pp.209-235. ⟨10.1007/s10543-020-00822-3⟩. ⟨hal-03013484⟩
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