A multigrid method for saddle point problems arising from mortar finite element discretizations

Barbara I. Wohlmuth

A multigrid method for saddle point problems arising from mortar finite element discretizations

Barbara I. Wohlmuth

University Hospital Augsburg

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

16 Scopus citations

Abstract

A multigrid algorithm for saddle point problems arising from mortar finite element discretizations is analyzed. Here, we do not require that the constraints at the interface are satisfied in each smoothing step, but we work on the squared system. Using mesh dependent norms for the Lagrange multipliers, suitable approximation and smoothing properties are established. A convergence rate independent of the meshsize is obtained for the W-cycle.

Original language	English
Pages (from-to)	43-54
Number of pages	12
Journal	Electronic Transactions on Numerical Analysis
Volume	11
State	Published - 2000
Externally published	Yes

Keywords

Mortar finite elements
Multigrid methods
Saddle point problems

Cite this

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title = "A multigrid method for saddle point problems arising from mortar finite element discretizations",

abstract = "A multigrid algorithm for saddle point problems arising from mortar finite element discretizations is analyzed. Here, we do not require that the constraints at the interface are satisfied in each smoothing step, but we work on the squared system. Using mesh dependent norms for the Lagrange multipliers, suitable approximation and smoothing properties are established. A convergence rate independent of the meshsize is obtained for the W-cycle.",

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T1 - A multigrid method for saddle point problems arising from mortar finite element discretizations

AU - Wohlmuth, Barbara I.

PY - 2000

Y1 - 2000

N2 - A multigrid algorithm for saddle point problems arising from mortar finite element discretizations is analyzed. Here, we do not require that the constraints at the interface are satisfied in each smoothing step, but we work on the squared system. Using mesh dependent norms for the Lagrange multipliers, suitable approximation and smoothing properties are established. A convergence rate independent of the meshsize is obtained for the W-cycle.

AB - A multigrid algorithm for saddle point problems arising from mortar finite element discretizations is analyzed. Here, we do not require that the constraints at the interface are satisfied in each smoothing step, but we work on the squared system. Using mesh dependent norms for the Lagrange multipliers, suitable approximation and smoothing properties are established. A convergence rate independent of the meshsize is obtained for the W-cycle.

KW - Mortar finite elements

KW - Multigrid methods

KW - Saddle point problems

UR - https://www.scopus.com/pages/publications/0042255180

M3 - Article

AN - SCOPUS:0042255180

SN - 1068-9613

VL - 11

SP - 43

EP - 54

JO - Electronic Transactions on Numerical Analysis

JF - Electronic Transactions on Numerical Analysis

ER -

A multigrid method for saddle point problems arising from mortar finite element discretizations

Abstract

Keywords

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