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Old and new convergence proofs for multigrid methods

Published online by Cambridge University Press:  07 November 2008

Harry Yserentant
Harry Yserentant
Affiliation:
Mathematisches InstitutUniversität Tübingen, D-7400 Tübingen, Germany, E-mail: harry@tue-num2.mathematik.uni-tuebingen.de
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Abstract

Multigrid methods are the fastest known methods for the solution of the large systems of equations arising from the discretization of partial differential equations. For self-adjoint and coercive linear elliptic boundary value problems (with Laplace's equation and the equations of linear elasticity as two typical examples), the convergence theory reached a mature, if not its final state. The present article reviews old and new developments for this type of equation and describes the recent advances.

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Type
Research Article
Information
Acta Numerica , Volume 2 , January 1993 , pp. 285 - 326
Copyright
Copyright © Cambridge University Press 1993

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References

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