A MULTI-GRID ALGORITHM FOR MIXED PROBLEMS WITH PENALTY BY C°-PIECEWISE LINEAR ELEMENT APPROXIMATION  

A MULTI-GRID ALGORITHM FOR MIXED PROBLEMS WITH PENALTY BY C°-PIECEWISE LINEAR ELEMENT APPROXIMATION

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作  者:黄自萍 

出  处:《Numerical Mathematics A Journal of Chinese Universities(English Series)》1997年第2期121-131,共11页

基  金:This work was supported by China State Major Key Project for Basic Researches

摘  要:In this paper we describe a multi-grid algorithm for mixed problems with penalty by the linear finite element approximation. It is proved that the convergence rate of the algorithm is bound ed away from 1 independently of the meshsize. For convenience, we only discuss Jacobi relaxation as smoothing operator in detail.In this paper we describe a multi-grid algorithm for mixed problems with penalty by the linear finite element approximation. It is proved that the convergence rate of the algorithm is bounded away from 1 independently of the meshsize. For convenience, we only discuss Jacobi relaxation as smoothing operator in detail.

关 键 词:Multi-grid ALGORITHM MIXED problem problems with PENALTY linear ELEMENT approxi mation. 

分 类 号:O241.5[理学—计算数学]

 

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