Construction of a Preconditioner for General Elliptic Problems Using Riesz Map-Reference-Cited by-同舟云学术

Construction of a Preconditioner for General Elliptic Problems Using Riesz Map

Published:2020-06-30 Issue:01 Volume:18 Page:2050031
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

El Hanine Raghia¹^ORCID,Raghay Said¹,Sadok Hassane²

Affiliation:

1. Laboratory LAMAI, Faculty of Sciences and Technologies, University of Cadi Ayyad, Marrakech, Morocco

2. Universite du Littoral Côte d’Opale, Batiment H. Poincarré, 50 rue F. Buisson, 62280 Calais Cedex, France

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876220500310

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