4 citations · 8 across the 12 of their papers we have counts for
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math.NA2026
A Tree-Based Localized Reduced Basis Method for Parametrized Parabolic PDEs
Mohamed Barakat, Diane Guignard
We propose a localized reduced basis method for parametrized parabolic partial differential equations based on an adaptive partitioning of the parameter domain using hierarchical b…
math.NA2026
A near-optimal recovery algorithm for the Stokes equations with incomplete information on the boundary conditions
Andrea Bonito, Diane Guignard
We address the problem of numerically approximating the velocity and pressure governed by the Stokes system when the boundary conditions are only partially known and thus do not un…
math.NA2026
Error analysis for the approximation of a flow in deformable porous media with nonlinear strain-stress relation
Andrea Bonito, Vivette Girault, Diane Guignard
We study a model describing the slow flow of a fluid through a deformable, porous, elastic solid undergoing small deformations. The stress-strain relationship of the solid incorpor…