4 citations · 8 across the 12 of their papers we have counts for
16 papers
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…
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…
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…
Convergence analysis for a tree-based nonlinear reduced basis method
Mohamed Barakat, Diane Guignard
We develop and analyze a nonlinear reduced basis (RB) method for parametrized elliptic partial differential equations based on a binary-tree partition of the parameter domain into…
Approximating partial differential equations without boundary conditions
Andrea Bonito, Diane Guignard
We consider the problem of numerically approximating the solutions to an elliptic partial differential equation (PDE) for which the boundary conditions are lacking. To alleviate th…
Tree-Based Nonlinear Reduced Modeling
Diane Guignard, Olga Mula
This paper is concerned with model order reduction of parametric Partial Differential Equations (PDEs) using tree-based library approximations. Classical approaches are formulated…