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A semi-implicit scheme based on Arrow-Hurwicz method for saddle point problems

Abstract

We search saddle points for a large class of convex-concave Lagrangian. A generalized explicit iterative scheme based on Arrow-Hurwicz method converges to a saddle point of the problem. We also propose in this work, a convergent semi-implicit scheme in order to accelerate the convergence of the iterative process. Numerical experiments are provided for a nontrivial numerical problem modeling an optimal shape problem of thin torsion rods. This semi-implicit scheme is figured out in practice robustly efficient in comparison with the explicit one.

Dates and versions

hal-01828875 , version 1 (03-07-2018)

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Tran Phan Minh Duc, Cedric Galusinski. A semi-implicit scheme based on Arrow-Hurwicz method for saddle point problems. 2018. ⟨hal-01828875⟩
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