Multigrid solution of an elliptic boundary-value problem with integral constraints

Achi Brandt; Moshe Israeli; Irad Yavneh; Andrew Siegel

doi:10.1137/s1064827597331813

Multigrid solution of an elliptic boundary-value problem with integral constraints

Achi Brandt
, Moshe Israeli
, Irad Yavneh
, Andrew Siegel

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

3 Scopus citations

Abstract

An efficient multigrid approach for solving a discretized elliptic equation whose boundary values are determined in part by integral relations is developed, analyzed, and tested. The algorithm is motivated by a problem that is solved during integration of the 3D quasigeostrophic (QG) equations, which model large-scale rotating stratified flows, where the integral constraints represent mass conservation.

Original language	English
Pages (from-to)	1357-1369
Number of pages	13
Journal	SIAM Journal of Scientific Computing
Volume	21
Issue number	4
DOIs	https://doi.org/10.1137/s1064827597331813
State	Published - Dec 1999
Externally published	Yes

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title = "Multigrid solution of an elliptic boundary-value problem with integral constraints",

abstract = "An efficient multigrid approach for solving a discretized elliptic equation whose boundary values are determined in part by integral relations is developed, analyzed, and tested. The algorithm is motivated by a problem that is solved during integration of the 3D quasigeostrophic (QG) equations, which model large-scale rotating stratified flows, where the integral constraints represent mass conservation.",

author = "Achi Brandt and Moshe Israeli and Irad Yavneh and Andrew Siegel",

year = "1999",

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AU - Yavneh, Irad

AU - Siegel, Andrew

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AB - An efficient multigrid approach for solving a discretized elliptic equation whose boundary values are determined in part by integral relations is developed, analyzed, and tested. The algorithm is motivated by a problem that is solved during integration of the 3D quasigeostrophic (QG) equations, which model large-scale rotating stratified flows, where the integral constraints represent mass conservation.

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JO - SIAM Journal of Scientific Computing

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Multigrid solution of an elliptic boundary-value problem with integral constraints

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