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This paper is an invitation to the process systems engineering community to change the paradigm for process plants. The goal is to achieve much easier convergence while retaining accuracy on par with the rigorous models. Accurate plant…

Systems and Control · Electrical Eng. & Systems 2024-08-29 Vladimir Mahalec

A novel finite element method for the approximation of Maxwell's equations over hybrid two-dimensional grids is studied. The choice of appropriate basis functions and numerical quadrature leads to diagonal mass matrices which allow for…

Numerical Analysis · Mathematics 2022-09-22 Herbert Egger , Bogdan Radu

Code generation based software platforms, such as Firedrake, have become popular tools for developing complicated finite element discretisations of partial differential equations. We extended the code generation infrastructure in Firedrake…

Mathematical Software · Computer Science 2017-11-08 Miklós Homolya , Robert C. Kirby , David A. Ham

As the need for computational power and efficiency rises, parallel systems become increasingly popular among various scientific fields. While multiple core-based architectures have been the center of attention for many years, the rapid…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 E. I. Ioannidis , N. Cheimarios , A. N. Spyropoulos , A. G. Boudouvis

We examine the interaction of multigrid methods and shape optimization in appropriate shape spaces. Our aim is a scalable algorithm for application on supercomputers, which can only be achieved by mesh-independent convergence. The impact of…

Optimization and Control · Mathematics 2021-04-12 Martin Siebenborn , Kathrin Welker

Finite Element discretizations of coupled multi-physics partial differential equation models require the handling of composed function spaces. In this paper we discuss software concepts and abstractions to handle the composition of function…

Mathematical Software · Computer Science 2025-08-15 Christian Engwer , Carsten Gräser , Steffen Müthing , Simon Praetorius , Oliver Sander

This paper establishes a general framework for describing hybrid dynamical systems which is particularly suitable for numerical simulation. In this context, the data structures used to describe the sets and functions which comprise the…

chao-dyn · Physics 2008-02-03 Allen Back , John Guckenheimer , Mark Myers

FFT, FMM, and multigrid methods are widely used fast and highly scalable solvers for elliptic PDEs. However, emerging large-scale computing systems are introducing challenges in comparison to current petascale computers. Recent efforts…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-31 Huda Ibeid , Luke Olson , William Gropp

Grid technologies aim at enabling a coordinated resource-sharing and problem-solving capabilities over local and wide area networks and span locations, organizations, machine architectures and software boundaries. The heterogeneity of…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Sergio Andreozzi , Massimo Sgaravatto , Cristina Vistoli

Finite mixture models are powerful tools for modelling and analyzing heterogeneous data. Parameter estimation is typically carried out using maximum likelihood estimation via the Expectation-Maximization (EM) algorithm. Recently, the…

Computation · Statistics 2020-05-15 Sharon X. Lee , Geoffrey J. McLachlan , Kaleb L. Leemaqz

Cyber-physical systems increasingly rely on distributed computing platforms where sensing, computing, actuation, and communication resources are shared by a multitude of applications. Such `cyber-physical cloud computing platforms' present…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-03 Gabor Karsai , Daniel Balasubramanian , Abhishek Dubey , William R. Otte

High-performance scientific applications require more and more compute power. The concurrent use of multiple distributed compute resources is vital for making scientific progress. The resulting distributed system, a so-called Jungle…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-05 Niels Drost , Jason Maassen , Maarten A. J. van Meersbergen , Henri E. Bal , F. Inti Pelupessy , Simon Portegies Zwart , Michael Kliphuis , Henk A. Dijkstra , Frank J. Seinstra

An expandable local and parallel two-grid finite element scheme based on superposition principle for elliptic problems is proposed and analyzed in this paper by taking example of Poisson equation. Compared with the usual local and parallel…

Numerical Analysis · Mathematics 2015-09-10 Yanren Hou , Guangzhi Du

Here, we present the concept of an open virtual prototyping framework for maritime systems and operations that enables its users to develop re-usable component or subsystem models, and combine them in full-system simulations for…

Computational Engineering, Finance, and Science · Computer Science 2017-01-05 Severin Sadjina , Lars T. Kyllingstad , Martin Rindarøy , Stian Skjong , Vilmar Æsøy , Dariusz Eirik Fathi , Vahid Hassani , Trond Johnsen , Jørgen Bremnes Nielsen , Eilif Pedersen

Programming current supercomputers efficiently is a challenging task. Multiple levels of parallelism on the core, on the compute node, and between nodes need to be exploited to make full use of the system. Heterogeneous hardware…

Distributed model fitting refers to the process of fitting a mathematical or statistical model to the data using distributed computing resources, such that computing tasks are divided among multiple interconnected computers or nodes, often…

Computation · Statistics 2024-06-04 Xiaofei Wu , Rongmei Liang , Fabio Roli , Marcello Pelillo , Jing Yuan

To harness the potential of advanced computing technologies, efficient (real time) analysis of large amounts of data is as essential as are front-line simulations. In order to optimise this process, experts need to be supported by…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-03 Jovana Knežević , Ralf-Peter Mundani , Ernst Rank

This paper presents a methodology and software tools for parametric design of complex architectural objects, called digital or algorithmic forms. In order to provide a flexible tool, the proposed design philosophy involves two open source…

Computational Engineering, Finance, and Science · Computer Science 2015-03-20 Ladislav Svoboda , Jan Novák , Lukáš Kurilla , Jan Zeman

High precision atomic data is indispensable for experiments involving studies of fundamental interactions, astrophysics, atomic clocks, plasma science, and others. We develop new parallel atomic structure codes and explore the difficulties…

Atomic Physics · Physics 2021-03-11 C. Cheung , M. S. Safronova , S. G. Porsev

The electrical and electronic engineering has used parallel programming to solve its large scale complex problems for performance reasons. However, as parallel programming requires a non-trivial distribution of tasks and data, developers…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-05 Antonio Wendell De Oliveira Rodrigues , Frédéric Guyomarc'H , Jean-Luc Dekeyser , Yvonnick Le Menach
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