Final Report on subcontract B551021: Optimal AMG interpolation and Convergence theory | Zendy

Ludmil Zikatanov | Zendy

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Final Report on subcontract B551021: Optimal AMG interpolation and Convergence theory

Author(s) -

Ludmil Zikatanov

Publication year - 2006

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/895996

Subject(s) - multigrid method , interpolation (computer graphics) , partial differential equation , convergence (economics) , relaxation (psychology) , mathematics , minification , mathematical optimization , elliptic partial differential equation , computer science , algebra over a field , calculus (dental) , mathematical analysis , pure mathematics , animation , psychology , social psychology , computer graphics (images) , economics , economic growth , medicine , dentistry

The goal of this project is to implement and study various techniques for the construction of Algebraic Multigrid Methods (AMG) for the solution of positive definite linear systems arising from the discretizations of elliptic partial differential equations (PDEs). Both theoretical as well as practical implementation of the methods that we have developed are based on compatible relaxation and energy minimization

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