Numerical homogenization is a methodology for the computational solution of multiscale
partial differential equations. It aims at reducing complex large-scale problems to simplified …

We propose a component-based (CB) parametric model order reduction (pMOR) formulation
for parameterized nonlinear elliptic partial differential equations (PDEs) based on …

A non-intrusive proper generalized decomposition (PGD) strategy, coupled with an
overlapping domain decomposition (DD) method, is proposed to efficiently construct …

We propose a component-based (CB) parametric model order reduction (pMOR) formulation
for parameterized nonlinear elliptic partial differential equations. CB-pMOR is designed to …

We present a new surrogate modeling technique for efficient approximation of input-output
maps governed by parametrized PDEs. The model is hierarchical as it is built on a full order …

In recent years, there has been a growing interest in understanding complex microstructures
and their effect on macroscopic properties. In general, it is difficult to derive an effective …

This paper presents a non-intrusive data-driven approach for model reduction of nonlinear
systems. The approach considers the particular case of nonlinear partial differential …

We propose a model order reduction technique to accurately approximate the behavior of
multi‐component systems without any a‐priori knowledge of the coupled model. In the …

We present an adaptive algorithm for constructing surrogate models of multi‐disciplinary
systems composed of a set of coupled components. With this goal we introduce “coupling” …

This work aims at deriving special types of one-dimensional Finite Elements (1D FE) for
efficiently modeling heterogeneous prismatic structures, in the small strains regime, by …