Least-Squares Mixed Finite Element Method for Saddle-Point Problem

Least-Squares Mixed Finite Element Method for Saddle-Point Problem

Year:    2000

Author:    Lie-Heng Wang, Huo-Yuan Duan

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 4 : pp. 353–364

Abstract

In this paper, a least-squares mixed finite element method for the solution of the primal saddle-point problem is developed. It is proved that the approximate problem is consistent ellipticity in the conforming finite element spaces with only the discrete BB-condition needed for a smaller auxiliary problem. The abstract error estimate is derived.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JCM-9048

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 4 : pp. 353–364

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    least-squares method mixed finite element approximation saddle-point problem.

Author Details

Lie-Heng Wang

Huo-Yuan Duan