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

Recently, the accurate modeling of flow‐structure interactions has gained more attention
and importance for both petroleum and environmental engineering applications. Of …

Accurate numerical modeling of normal-conducting accelerator magnets requires a reliable
characterization of the iron saturation and hysteresis as well as a precise knowledge of the …

This paper examines the application of optimization and control ideas to the formulation of
feature-preserving numerical methods, with particular emphasis on the conservative and …

We present a new optimization-based method for atomistic-to-continuum (AtC) coupling. The
main idea is to cast the latter as a constrained optimization problem with virtual Dirichlet …

Let be a real Hilbert space, a closed convex subset of, and continuous convex and bounded
from below on. We study the asymptotic behaviour of the non-autonomous differential …

We address an important research area in stochastic multiscale modeling, namely, the
propagation of uncertainty across heterogeneous domains characterized by partially …

Abstract Domain decomposition methods which use different models in different
subdomains are called heterogeneous domain decomposition methods. We are interested …

This paper is the first of three related articles, which develop and demonstrate a new,
optimization–based framework for computational modeling. The framework uses …

We present an abstract mathematical framework for an optimization-based additive
decomposition of a large class of variational problems into a collection of concurrent …