This paper revisits a new model reduction methodology based on the use of separated
representations, the so called Proper Generalized Decomposition—PGD. Space and time …

In this paper a non-exhaustive review is made on the existing literature for real-time
simulation in the field of computational surgery. Many methods have been proposed so far to …

This paper proposes a novel technique to reduce the computational burden associated with
the simulation of localized failure. The proposed methodology affords the simulation of …

A new strategy for the efficient solution of highly nonlinear structural problems is proposed,
based on the combined use of Domain Decomposition (DD) and snapshots version of the …

This book is intended to help researchers overcome the entrance barrier to Proper
Generalized Decomposition (PGD), by providing a valuable tool to begin the programming …

This paper describes a novel approach for the simulation of surgery by a combined
technique of model order reduction and extended finite element method (X‐FEM) methods …

This paper proposes a generalized finite element method based on the use of parametric
solutions as enrichment functions. These parametric solutions are precomputed off‐line and …

This paper develops two-step methods for solving contact problems with uncertainties. In the
first step, we propose stochastic Lagrangian multiplier/penalty methods to compute a set of …

In this paper, we present the basics of a novel methodology for the development of
simulation-based and augmented learning tools in the context of applied science and …

In this chapter we are addressing a new paradigm in the field of simulation-based
engineering sciences (SBES) to face the challenges posed by current ICT technologies …