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Recently, physics-informed neural networks (PINNs) have offered a powerful new paradigm for solving problems relating to differential equations. Compared to classical numerical methods PINNs have several advantages, for example their…

Computational Physics · Physics 2024-06-21 Ben Moseley , Andrew Markham , Tarje Nissen-Meyer

With the emergence of new photonic and plasmonic materials with optimized properties as well as advanced nanofabrication techniques, nanophotonic devices are now capable of providing solutions to global challenges in energy conversion,…

With the growing maturity of additive manufacturing, the fabrication of architected or lattice-based metamaterials has become a reality for industrial applications. These materials combine lightweight design with tailored mechanical…

Numerical Analysis · Mathematics 2026-03-12 Clément Guillet , Thibaut Hirschler , Pierre Jolivet , Pablo Antolin , Robin Bouclier

Multiphysics incompressible fluid dynamics simulations play a crucial role in understanding intricate behaviors of many complex engineering systems that involve interactions between solids, fluids, and various phases like liquid and gas.…

Computational Engineering, Finance, and Science · Computer Science 2023-12-27 Akash Dhruv

Modeling of physical systems includes extensive use of software packages that implement the accurate finite element method for solving differential equations considered along with the appropriate initial and boundary conditions. When the…

Computational Engineering, Finance, and Science · Computer Science 2018-03-20 O. Kononenko , I. Kononenko

This article describes a geometric partitioning software that can be used for quick computation of data partitions on many-core HPC machines. It is most suited for dynamic applications with load distributions that vary with time.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-19 Aparna Sasidharan

Steering a complex system towards a desired outcome is a challenging task. The lack of clarity on the system's exact architecture and the often scarce scientific data upon which to base the operationalisation of the dynamic rules that…

Systems and Control · Computer Science 2016-08-03 Sotiris Moschoyiannis , Nicholas Elia , Alexandra S. Penn , David J. B. Lloyd , Chris Knight

The optimization of large experiments in fundamental science, such as detectors for subnuclear physics at particle colliders, shares with the optimization of complex systems for industrial or societal applications the common issue of…

Instrumentation and Detectors · Physics 2026-03-30 Tommaso Dorigo , Pietro Vischia , Shahzaib Abbas , Tosin Adewumi , Lama Alkhaled , Lorenzo Arsini , Muhammad Awais , Maxim Borisyak , András Bóta , Florian Bury , Sascha Caron , James Carzon , Long Chen , Prakash C. Chhipa , Paul Christakopoulos , Jacopo De Piccoli , Andrea De Vita , Zlatan Dimitrov , Michele Doro , Luigi Favaro , Francesco Ferranti , Santiago Folgueras , Rihab Gargouri , Nicolas R. Gauger , Andrea Giammanco , Christian Glaser , Tobias Golling , João A. Gonçalves , Hui Han , Hamza Hanif , Lukas Heinrich , Yan Chai Hum , Florent Imbert , Andreas Ipp , Michael Kagan , Noor Kainat Syeda , Rukshak Kapoor , Aparup Khatua , Eduard J. Kerkhoven , Jan Kieseler , Tobias Kortus , Ashish Kumar Singh , Marius S. Köppel , Daniel Lanchares , Ann Lee , Pelayo Leguina , Christos Leonidopoulos , Giuseppe Levi , Boying Li , Chang Liu , Marcus Liwicki , Karl Lowenmark , Enrico Lupi , Carlo Mancini-Terracciano , Dominik Maršík , Leonidas Matsakas , Hamam Mokayed , Federico Nardi , Amirhossein Nayebiastaneh , Xuan T. Nguyen , Aitor Orio , Jingjing Pan , Jigar Patel , Carmelo Pellegrino , María Pereira Martínez , Karolos Potamianos , Shah Rukh Qasim , Martin Ravn , Luis Recabarren Vergara , Humberto Reyes-González , Hipolito A. Riveros Guevara , Ippocratis D. Saltas , Rajkumar Saini , Fredrik Sandin , Alexander Schilling , Kylian Schmidt , Nicola Serra , Saqib Shahzad , Foteini Simistira Liwicki , Giles C. Strong , Kristian Tchiorniy , Mia Tosi , Andrey Ustyuzhanin , Xabier Cid Vidal , Kinga A. Wozniak , Mengqing Wu , Zahraa Zaher

Scalable and efficient numerical simulations continue to gain importance, as computation is firmly established as the third pillar of discovery, alongside theory and experiment. Meanwhile, the performance of computing hardware grows through…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-26 Pietro Incardona , Antonio Leo , Yaroslav Zaluzhnyi , Rajesh Ramaswamy , Ivo F. Sbalzarini

We propose an algorithm for the computational homogenization of locally periodic hyperelastic structures undergoing large deformations due to external quasi-static loading. The algorithm performs clustering of macroscopic deformations into…

Numerical Analysis · Mathematics 2026-02-26 Vladimír Lukeš , Eduard Rohan

Efficient physics simulations are essential for numerous applications, ranging from realistic cloth animations or smoke effects in video games, to analyzing pollutant dispersion in environmental sciences, to calculating vehicle drag…

Computational Physics · Physics 2025-04-22 Nils Wandel , Stefan Schulz , Reinhard Klein

Many subsurface engineering applications involve tight-coupling between fluid flow, solid deformation, fracturing, and similar processes. To better understand the complex interplay of different governing equations, and therefore design…

A novel numerical formulation for solving fluid-structure interaction (FSI) problems is proposed where the fluid field is spatially discretized using smoothed particle hydrodynamics (SPH) and the structural field using the finite element…

Computational Engineering, Finance, and Science · Computer Science 2021-06-16 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

This document summarizes the main concepts of the finite element (FE) theory and constitutive relations as implemented in the open-source code phase-field multiphysics materials simulator PHIMATS https://github.com/ahcomat/PHIMATS. PHIMATS…

Numerical Analysis · Mathematics 2025-10-15 Abdelrahman Hussein

The novel neural networks show great potential in solving partial differential equations. For single-phase flow problems in subsurface porous media with high-contrast coefficients, the key is to develop neural operators with accurate…

Machine Learning · Computer Science 2025-09-17 Peiqi Li , Jie Chen

A generic framework for the solution of PDE-constrained optimisation problems based on the FEniCS system is presented. Its main features are an intuitive mathematical interface, a high degree of automation, and an efficient implementation…

Mathematical Software · Computer Science 2013-02-19 S. W. Funke , P. E. Farrell

This work discusses the design and testing of a new computational spintronics research software. Boris is a comprehensive multi-physics open-source software, combining micromagnetics modelling capabilities with drift-diffusion spin…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 Serban Lepadatu

Finding the distribution of the velocities and pressures of a fluid by solving the Navier-Stokes equations is a principal task in the chemical, energy, and pharmaceutical industries, as well as in mechanical engineering and the design of…

Machine Learning · Computer Science 2024-07-16 Alexandr Sedykh , Maninadh Podapaka , Asel Sagingalieva , Karan Pinto , Markus Pflitsch , Alexey Melnikov

Quantum computing holds great promise to accelerate scientific computations in fluid dynamics and other classical physical systems. While various quantum algorithms have been proposed for linear flows, developing quantum algorithms for…

Fluid Dynamics · Physics 2025-02-25 Boyuan Wang , Zhaoyuan Meng , Yaomin Zhao , Yue Yang

Physics-informed neural networks (PINNs) have emerged as a flexible framework for solving partial differential equations, but their performance on interface problems remains challenging because continuity and flux conditions are typically…

Numerical Analysis · Mathematics 2026-05-19 Seung Whan Chung , Stephen T. Castonguay , Sumanta Roy , Michael S. Penwarden , Yucheng Fu , Pratanu Roy