Formulations mixtes augmentées et applications
Formulations Mixtes Augmentées et Applications
We propose and analyse a abstract framework for augmented mixed formulations. We give error estimate in the general case: conforming and nonconforming approximations with or without numerical integration. Finally, error estimator is given. An example of stabilized formulation for Stokes problem is analysed.
Une méthode d'éléments finis hybrides en décomposition de domaines
3D domain decomposition method coupling conforming and nonconforming finite elements
3D domain decomposition method coupling conforming and nonconforming finite elements
This paper deals with the solution of problems involving partial differential equations in . For three dimensional case, methods are useful if they require neither domain boundary regularity nor regularity for the exact solution of the problem. A new domain decomposition method is therefore presented which uses low degree finite elements. The numerical approximation of the solution is easy, and optimal error bounds are obtained according to suitable norms.
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