Hybrid high-order methods

We develop Hybrid high-order (HHO) methods for wave propagation (left, acoustic wave propagates through a heterogeneous medium with a curved, flower-shaped interface) and computational mechanics (right, plastic deformations of a pump). We leverage on the high-order capacities of HHO methods, their support of polytopal meshes, and their robustness to locking. Discover

Flows in fractured porous media

We are developing numerical methods and dedicated software to simulate flow in large scale fractured porous rocks. Discover

Formal proof of the Lax-Milgram theorem

Dependency graph of definitions and lemmas for the detailed proof of the Lax-Milgram theorem. Focus on the inner product definition (166), the Riesz-Fréchet représentation theorem (199), and the Lax-Milgram theorem (201). Detailed proof.

Agglomeration-based adaptivity

We develop agglomeration-based adaptive discontinuous Galerkin methods on polytopal meshes. Mesh coarsening step in the ADG methods reduces DoFs almost without influencing the accuracy. Discover

A-posteriori-steered multigrid

We develop algebraic solvers with p-robust contraction, a posteriori error control, and local adaptive smoothing. Discover

SERENA research team
Simulation for the Environment: Reliable and Efficient Numerical Algorithms

The SERENA project-team is concerned with numerical methods for environmental problems. The main topics are the conception and analysis of models based on partial differential equations, the study of their precise and efficient numerical approximation, and implementation issues with special concern for reliability and correctness of programs. We are in particular interested in guaranteeing the quality of the overall simulation process.
SERENA is a joint project-team between Inria and Ecole des Ponts. It has taken over the project-team POMDAPI which ended in May, 2015.


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Team members
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Research topics

Research topics
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