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洞見 - Regularization and Convergence in Numerical Methods
Ramshaw-Mesina Iteration: Convergence and Application in Uzawa Method
Ramshaw-Mesina iteration offers a promising alternative to the pressure update step in the Uzawa method, showing convergence for saddle point problems like Stokes under specific conditions.
Convergence of Ramshaw-Mesina Iteration for Saddle Point Problems
The author presents a novel synthesis of penalty methods and artificial compression methods to enhance convergence in saddle point problems, particularly the Stokes problem, by replacing the pressure update step in the Uzawa iteration.
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