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- Minh-Binh Tran
- 2011

- Minh-Binh Tran
- Domain Decomposition Methods in Science and…
- 2013

- Karel Segeth, Jan Brandts, Sergey Korotov, Michal Kř́ıžek, Jakub Š́ıstek, Minh-Binh Tran
- 2013

The research about using domain decomposition methods to resolve optimal control problems started with the pioneering work of A. Bensoussan, R. Glowinski and P. L. Lions [8] in the 70’s and B. Depres and J.D. Benamou in the early 90’s [2, 1, 7, 6, 5, 4, 4, 3]. Since then, this research line has become very active with several works of J. E. Lagnese and G.… (More)

- MINH-BINH TRAN
- 2012

We introduce in this paper a new tool to prove the convergence of the overlapping optimized Schwarz methods with multisubdomains. The technique is based on some estimates of the errors on the boundaries of the overlapping strips. Our guiding example is an n-dimensional linear parabolic equation.

- Erich L. Foster, Jérôme Lohéac, Minh-Binh Tran
- J. Comput. Physics
- 2017

We present a scalable and efficient iterative solver for high-order hybridized discontinuous Galerkin (HDG) discretizations of hyperbolic partial differential equations. It is an interplay between domain decomposition methods and HDG discretizations. In particular, the method is a fixed-point approach that requires only independent element-by-element local… (More)

- Minh-Binh TRAN
- 2012

During the last two decades many domain decomposition algorithms have been constructed and lot of techniques have been developed to prove the convergence of the algorithms at the continuous level. Among the techniques used to prove the convergence of classical Schwarz algorithms, the first technique is the maximum principle used by Schwarz. Adopting this… (More)

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