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This contribution focuses on the development of Model Order Reduction (MOR) for one-way coupled steady state linear thermomechanical problems in a finite element setting. We apply Proper Orthogonal Decomposition (POD) for the computation of…

This paper presents a model order reduction (MOR) approach for high dimensional problems in the analysis of financial risk. To understand the financial risks and possible outcomes, we have to perform several thousand simulations of the…

Computational Finance · Quantitative Finance 2021-06-15 Andreas Binder , Onkar Jadhav , Volker Mehrmann

In this paper we consider a geothermal energy storage in which the spatio-temporal temperature distribution is modeled by a heat equation with a convection term. Such storages often are embedded in residential heating systems and control…

Numerical Analysis · Mathematics 2022-09-30 Paul Honore Takam , Ralf Wunderlich

We suggest a new methodology for designing robust energy systems. For this, we investigate so-called near-optimal solutions to energy system optimisation models; solutions whose objective values deviate only marginally from the optimum.…

Optimization and Control · Mathematics 2023-01-05 Aleksander Grochowicz , Koen van Greevenbroek , Fred Espen Benth , Marianne Zeyringer

The designers pre-occupation to reduce energy consumption and to achieve better thermal ambience levels, has favoured the setting up of numerous building thermal dynamic simulation programs. The progress in the modelling of phenomenas and…

Computational Engineering, Finance, and Science · Computer Science 2012-12-26 Harry Boyer , François Garde , Jean Claude Gatina , Jean Brau

In this work, a new hybrid predictive Reduced Order Model (ROM) is proposed to solve reacting flow problems. This algorithm is based on a dimensionality reduction using Proper Orthogonal Decomposition (POD) combined with deep learning…

Machine Learning · Computer Science 2023-01-25 Adrián Corrochano , Rodolfo S. M. Freitas , Alessandro Parente , Soledad Le Clainche

This work presents an efficient numerical method based on spectral expansions for simulation of heat and moisture diffusive transfers through multilayered porous materials. Traditionally, by using the finite-difference approach, the problem…

Computational Engineering, Finance, and Science · Computer Science 2020-02-20 Suelen Gasparin , Denys Dutykh , Nathan Mendes

This paper introduces a reduced-order modeling approach based on finite volume methods for hyperbolic systems, combining Proper Orthogonal Decomposition (POD) with the Discrete Empirical Interpolation Method (DEIM) and Proper Interval…

Numerical Analysis · Mathematics 2025-05-07 I. Gómez-Bueno , E. D. Fernández-Nieto , S. Rubino

Seasonal climate variations affect electricity demand, which in turn affects month-to-month electricity planning and operations. Electricity system planning at the monthly timescale can be improved by adapting climate forecasts to estimate…

Systems and Control · Electrical Eng. & Systems 2019-11-12 A. R. de Queiroz , D. Mulcahy , A. Sankarasubramanian , J. P. Deane , G. Mahinthakumar , N. Lu , J. F. DeCarolis

Reduced order modeling has gained considerable attention in recent decades owing to the advantages offered in reduced computational times and multiple solutions for parametric problems. The focus of this manuscript is the application of…

Numerical Analysis · Mathematics 2018-11-21 Gianluigi Rozza , Haris Malik , Nicola Demo , Marco Tezzele , Michele Girfoglio , Giovanni Stabile , Andrea Mola

Building energy modeling plays a vital role in optimizing the operation of building energy systems by providing accurate predictions of the building's real-world conditions. In this context, various techniques have been explored, ranging…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Leandro Von Krannichfeldt , Kristina Orehounig , Olga Fink

In the context of estimating material properties of porous walls based on in-site measurements and identification method, this paper presents the concept of Optimal Experiment Design (OED). It aims at searching the best experimental…

Computational Physics · Physics 2020-02-20 Julien Berger , Denys Dutykh , Nathan Mendes

Reduced-order models (ROMs) are widely used in fluid engineering to enable rapid prediction of flow fields for parametric analysis, design optimization, and control applications. Proper orthogonal decomposition (POD) is commonly employed to…

Fluid Dynamics · Physics 2026-02-25 Yuto Nakamura , Shintaro Sato , Naofumi Ohnishi

Many complex engineering systems consist of multiple subsystems that are developed by different teams of engineers. To analyse, simulate and control such complex systems, accurate yet computationally efficient models are required. Modular…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

A parametric reduced order model based on proper orthogonal decomposition with Galerkin projection has been developed and applied for the modeling of heat transport in T-junction pipes which are widely found in nuclear power plants. Thermal…

Computational Physics · Physics 2019-01-29 Sokratia Georgaka , Giovanni Stabile , Gianluigi Rozza , Michael J Bluck

We propose a projection-based model order reduction procedure for the ageing of large prestressed concrete structures. Our work is motivated by applications in the nuclear industry, particularly in the simulation of containment buildings.…

In this contribution we propose reduced order methods to fast and reliably solve parametrized optimal control problems governed by time dependent nonlinear partial differential equations. Our goal is to provide a tool to deal with the time…

Numerical Analysis · Mathematics 2023-08-08 Francesco Ballarin , Gianluigi Rozza , Maria Strazzullo

It is of great concern to produce numerically efficient methods for moisture diffusion through porous media, capable of accurately calculate moisture distribution with a reduced computational effort. In this way, model reduction methods are…

Computational Physics · Physics 2020-02-20 Suelen Gasparin , Julien Berger , Denys Dutykh , Nathan Mendes

In this work, a novel method with an adaptive functional basis for reduced order models (ROM) based on proper orthogonal decomposition (POD) is introduced. The method is intended to be applied in particular to hydrocarbon reservoir…

Numerical Analysis · Mathematics 2021-06-23 Dmitry Voloskov , Dimitri Pissarenko

Reduced order modeling (ROM) provides an efficient framework to compute solutions of parametric problems. Basically, it exploits a set of precomputed high-fidelity solutions --- computed for properly chosen parameters, using a full-order…

Numerical Analysis · Mathematics 2019-11-19 Nicola Demo , Marco Tezzele , Gianluigi Rozza