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Journal Articles International Journal of Computational Methods Year : 2020

Construction of a Preconditioner for General Elliptic Problems Using Riesz Map

Raghia El Hanine
Said Raghay
  • Function : Author

Abstract

The current work aspires to design and study the construction of an efficient preconditioner for linear symmetric systems in a Hilbert space setting. Compliantly to Josef Málek and Zdeněk Strakoš’s work [Preconditioning and the Conjugate Gradient Method in the Context of Solving[Formula: see text] PDEs, Vol. 1 (SIAM, USA).], we shed new light on the dependence of algebraic preconditioners with the resolution steps of partial differential equations (PDEs) and describe their impact on the final numerical solution. The numerical strength and efficiency of the proposed approach is demonstrated on a two-dimensional examples.
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Dates and versions

hal-04409923 , version 1 (22-01-2024)

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Raghia El Hanine, Said Raghay, Hassane Sadok. Construction of a Preconditioner for General Elliptic Problems Using Riesz Map. International Journal of Computational Methods, 2020, 18 (01), pp.2050031. ⟨10.1142/s0219876220500310⟩. ⟨hal-04409923⟩
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