A preconditioner for FETI-DP method of stokes problem with mortar-type CR (h) - P 0 (h) discretization

Chunmei Wang

doi:10.1155/2013/485628

A preconditioner for FETI-DP method of stokes problem with mortar-type CR (h) - P 0 (h) discretization

Chunmei Wang

Mathematics and Statistics

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Abstract

FETI-DP method is developed for incompressible Stokes problem discretized by mortar-type C R (h) - P 0 (h) mixed elements. A preconditioner is proposed, and it is proved that the condition number of the preconditioned FETI-DP operator is bounded by (1 + log (H / h)) 2, where H and h are mesh sizes. Finally, the numerical tests are presented to verify the theoretical results.

Original language	English
Article number	485628
Journal	Mathematical Problems in Engineering
Volume	2013
DOIs	https://doi.org/10.1155/2013/485628
State	Published - 2013

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title = "A preconditioner for FETI-DP method of stokes problem with mortar-type CR (h) - P 0 (h) discretization",

abstract = "FETI-DP method is developed for incompressible Stokes problem discretized by mortar-type C R (h) - P 0 (h) mixed elements. A preconditioner is proposed, and it is proved that the condition number of the preconditioned FETI-DP operator is bounded by (1 + log (H / h)) 2, where H and h are mesh sizes. Finally, the numerical tests are presented to verify the theoretical results.",

author = "Chunmei Wang",

year = "2013",

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language = "English",

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journal = "Mathematical Problems in Engineering",

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AU - Wang, Chunmei

PY - 2013

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N2 - FETI-DP method is developed for incompressible Stokes problem discretized by mortar-type C R (h) - P 0 (h) mixed elements. A preconditioner is proposed, and it is proved that the condition number of the preconditioned FETI-DP operator is bounded by (1 + log (H / h)) 2, where H and h are mesh sizes. Finally, the numerical tests are presented to verify the theoretical results.

AB - FETI-DP method is developed for incompressible Stokes problem discretized by mortar-type C R (h) - P 0 (h) mixed elements. A preconditioner is proposed, and it is proved that the condition number of the preconditioned FETI-DP operator is bounded by (1 + log (H / h)) 2, where H and h are mesh sizes. Finally, the numerical tests are presented to verify the theoretical results.

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DO - 10.1155/2013/485628

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SN - 1024-123X

VL - 2013

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

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A preconditioner for FETI-DP method of stokes problem with mortar-type CR (h) - P 0 (h) discretization

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