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Automatic spectral coarse spaces for robust FETI and BDD algorithms
We introduce spectral coarse spaces for the BDD (Balanced Domain Decomposition) and FETI (Finite Element Tearing and Interconnecting) methods. These coarse spaces are... -
Domain decomposition methods in Feel++
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Overlapping Domain Decomposition Methods with FreeFem++
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Uzawa Block Relaxation Domain Decomposition Method for the Two-Body Contact P...
We propose a Uzawa block relaxation domain decomposition method for a two-body contact problem with Tresca friction. We introduce auxiliary interface unknowns to... -
Etude physique et numérique de l'écoulement dans un dispositif d'injection de...
A Pelton turbine is characterized by a water jet which is impacting rotating buckets. The main goal of this study is to understand the phenomena which are impacting... -
A Low Level Component Model enabling Resource Specialization of HPC Applications
Scientific applications are still getting more complex, e.g. to improve their accuracy by taking into account more phenomena. Moreover, computing infrastructures are... -
A partitioned Newton method for the interaction of a fluid and a 3D shell str...
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On correction equations and domain decomposition for computing invariant subs...
This paper considers a number of schemes for computing an approximate invariant subspace associated with the smallest eigenvalues of a sparse symmetric (real) matrix.... -
An explicit formulation of the multiplicative Schwarz preconditionner
We provide an explicit formulation of the splitting associated with the Multiplicative Schwarz iteration. We show the advantage of considering the explicit... -
Theoretical and Numerical Analysis of a Class of Nonlinear Elliptic Equations
In this paper we show the existence of weak solutions for a nonlinear elliptic equations with arbitrary growth of the non linearity and data measure. A numerical... -
On multiscale computational mechanics with time-space homogenization
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A Neumann-Neumann Domain Decomposition Algorithm for Solving Plate and Shell ...
Projet MENUSIN, Projet MODULEF -
Influence of Domain Decomposition Method on the solution of a simple granular...
Non Smooth Contact Dynamics (NSCD) [1] has shown its efficiency in the simulation of granular media. Since the number of particles and contacts increases or/and the... -
A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm ...
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Substructuring strategies for granular systems
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Improved Interface conditions for 2D domain decomposition with corners: Numer...
This article deals with a local improvement of domain decomposition methods for 2-dimensional elliptic problems for which either the geometry or the domain... -
Multiscale method and model reduction for the propagation of localized uncert...
In many physical problems, an uncertain model can be represented as a set of stochastic partial differential equations. We are here interested in problems with many... -
Asynchronous optimized Schwarz methods
Optimized Schwarz methods are very efficient iterative algorithms for the parallel solution of computational mechanics problems. These methods are similar to the... -
How to ensure that a domain decomposition method will converge.
The simulation of processes in highly heterogeneous media comes with many challenges. In particular many domain decomposition methods do not perform well in this case,...
