Iterative Techniques for Mixed Methods

  • Susanne C. Brenner
  • L. Ridgway Scott
Part of the Texts in Applied Mathematics book series (TAM, volume 15)


Equations of the form (12.3.1) or (12.5.14) are indefinite and require special care to solve. We will now consider one class of algorithms which involve a penalty method to enforce the second equation in (12.3.1) or (12.5.14). These algorithms transform the linear algebra to positive-definite problems in many cases. Moreover, the number of unknowns in the algebraic system can also be significantly reduced.


Stokes Equation Bilinear Form Mixed Method Penalty Method Mixed Formulation 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Susanne C. Brenner
    • 1
  • L. Ridgway Scott
    • 2
  1. 1.Department of MathematicsUniversity of South CarolinaColumbiaUSA
  2. 2.University of ChicagoChicagoUSA

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