12 citations · 18 across the 13 of their papers we have counts for
10 papers · 1 filter
Algebraic convergence analysis for the Interface Control Domain Decomposition (ICDD) method
Marco Discacciati, Paola Gervasio, Alfio Quarteroni
We develop the convergence analysis of the Interface Control Domain Decomposition (ICDD) method, an overlapping domain decomposition method based on an optimal control framework wi…
PGD-based local surrogate models via overlapping domain decomposition: a computational comparison
Marco Discacciati, Ben J. Evans, Matteo Giacomini
An efficient strategy to construct physics-based local surrogate models for parametric linear elliptic problems is presented. The method relies on proper generalized decomposition…
An overlapping domain decomposition method for parametric Stokes and Stokes-Darcy problems via proper generalized decomposition
Marco Discacciati, Ben J. Evans, Matteo Giacomini
A strategy to construct physics-based local surrogate models for parametric Stokes flows and coupled Stokes-Darcy systems is presented. The methodology relies on the proper general…
Optimized Schwarz method for the Stokes-Darcy problem with generalized interface conditions
Paula Strohbeck, Marco Discacciati, Iryna Rybak
Due to their wide appearance in environmental settings as well as industrial and medical applications, the Stokes-Darcy problems with different sets of interface conditions establi…
Local surrogate models with reduced dimensionality via overlapping domain decomposition and proper generalized decomposition
Marco Discacciati, Ben J. Evans, Matteo Giacomini
We propose an efficient algorithm that combines overlapping domain decomposition and proper generalized decomposition (PGD) to construct surrogate models of linear elliptic paramet…
A coupling concept for Stokes-Darcy systems: the ICDD method
Marco Discacciati, Paola Gervasio
We present a coupling framework for Stokes-Darcy systems valid for arbitrary flow direction at low Reynolds numbers and for isotropic porous media. The proposed method is based on…
An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition
Marco Discacciati, Ben J. Evans, Matteo Giacomini
A non-intrusive proper generalized decomposition (PGD) strategy, coupled with an overlapping domain decomposition (DD) method, is proposed to efficiently construct surrogate models…
Optimized Schwarz methods for the time-dependent Stokes-Darcy coupling
Marco Discacciati, Tommaso Vanzan
This paper derives optimal coefficients for optimized Schwarz iterations for the time-dependent Stokes-Darcy problem using an innovative strategy to solve a nonstandard min-max pro…
Optimized Neumann-Neumann method for the Stokes-Darcy problem
Marco Discacciati, Jake Robinson
A novel preconditioner of Neumann-Neumann type for the Stokes-Darcy problem is studied, where optimal weights of the local subproblems that define the preconditioner are obtained b…
A mixed FEM for the coupled Brinkman-Forchheimer/Darcy problem
Sergio Caucao, Marco Discacciati
This paper develops the a priori analysis of a mixed finite element method for the filtration of an incompressible fluid through a non-deformable saturated porous medium with heter…