This work proposes novel stability‐preserving model order reduction approaches for vibro‐
acoustic finite element models. As most research in the past for these systems has focused …

This paper presents a theoretical and numerical investigation of the following practical
question: Should the time difference quotients (DQs) of the snapshots be used to generate …

Sound and vibrations are all around us and constantly impact our everyday lives, both
consciously and unconsciously. The way something feels and sounds contributes …

In this work we report on a reduced-order model (ROM) for the system of time-domain
Maxwell's equations discretized by a discontinuous Galerkin (DG) method. We leverage …

We investigate the combination of Isogeometric Analysis (IGA) and proper orthogonal
decomposition (POD) based on the Galerkin method for model order reduction of linear …

Discretization methods such as finite differences or finite elements were usually employed to
provide high fidelity solution approximations for reduced order modeling of parameterized …

In this work, we develop a novel Galerkin-L1-POD scheme for the subdiffusion model with a
Caputo fractional derivative of order α∈(0, 1) in time, which is often used to describe …

Recently, researchers have investigated the relationship between proper orthogonal
decomposition (POD), difference quotients (DQs), and pointwise in time error bounds for …

This paper proposes a new reduced basis algorithm for the metamodelling of parametrised
elliptic problems. The developments rely on the Constitutive Relation Error (CRE), and the …

We propose a new hybridizable discontinuous Galerkin (HDG) model order reduction
technique based on proper orthogonal decomposition (POD). We consider the heat …