Schur-complement multigirid: A robust method for groundwater flow and transport problems

C. Wagner; W. Kinzelbach; G. Wittum

doi:10.1007/s002110050251

Schur-complement multigirid: A robust method for groundwater flow and transport problems

C. Wagner^*, W. Kinzelbach, G. Wittum

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

A Schur-complement multigrid method for the solution of convection-diffusion problems with strongly discontinuous coefficients is the focus of this paper. This algorithm turns out to be robust and efficient for our test problems. Its convergence rate is in all cases superior to the standard multigrid method. The Schur-complemerit multigrid method is applied to the problem of the decontamination of a heterogeneous porous medium by flushing. We determine the typical decontamination time for several configurations and its functional dependence on the statistical properties of the hydraulic conductivity distribution of the medium.

Original language	English (US)
Pages (from-to)	523-545
Number of pages	23
Journal	Numerische Mathematik
Volume	75
Issue number	4
DOIs	https://doi.org/10.1007/s002110050251
State	Published - Feb 1997
Externally published	Yes

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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abstract = "A Schur-complement multigrid method for the solution of convection-diffusion problems with strongly discontinuous coefficients is the focus of this paper. This algorithm turns out to be robust and efficient for our test problems. Its convergence rate is in all cases superior to the standard multigrid method. The Schur-complemerit multigrid method is applied to the problem of the decontamination of a heterogeneous porous medium by flushing. We determine the typical decontamination time for several configurations and its functional dependence on the statistical properties of the hydraulic conductivity distribution of the medium.",

author = "C. Wagner and W. Kinzelbach and G. Wittum",

year = "1997",

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AU - Kinzelbach, W.

AU - Wittum, G.

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Y1 - 1997/2

N2 - A Schur-complement multigrid method for the solution of convection-diffusion problems with strongly discontinuous coefficients is the focus of this paper. This algorithm turns out to be robust and efficient for our test problems. Its convergence rate is in all cases superior to the standard multigrid method. The Schur-complemerit multigrid method is applied to the problem of the decontamination of a heterogeneous porous medium by flushing. We determine the typical decontamination time for several configurations and its functional dependence on the statistical properties of the hydraulic conductivity distribution of the medium.

AB - A Schur-complement multigrid method for the solution of convection-diffusion problems with strongly discontinuous coefficients is the focus of this paper. This algorithm turns out to be robust and efficient for our test problems. Its convergence rate is in all cases superior to the standard multigrid method. The Schur-complemerit multigrid method is applied to the problem of the decontamination of a heterogeneous porous medium by flushing. We determine the typical decontamination time for several configurations and its functional dependence on the statistical properties of the hydraulic conductivity distribution of the medium.

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U2 - 10.1007/s002110050251

DO - 10.1007/s002110050251

M3 - Article

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ER -

Schur-complement multigirid: A robust method for groundwater flow and transport problems

Abstract

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