1. Proper Generalized Decomposition Based Model Order Reduction Applied to Problems Defined in Degenerated Domains

Nowadays, the use of simulation in industrial applications is a routine practice. However, the need of considering high fidelity models and their associated solutions is demanding for more efficient solvers. Despite the remarkable progress accomplished in hardware and software in the last decades, the ability to simulate high fidelity 3D models, taking into consideration all their richness is still challenging. For example, if we wish to simulate a 3D problem including 10 parameters, each of them taking 10 different values we should solve 10¹⁰ 3D problems. This issue is known as the curse of dimensionality, and compromises the solution of models defined in high dimensional spaces.