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For simulating incompressible flows by projection methods. it is generally accepted that the pressure-correction stage is the most time-consuming part of the flow solver. The objective of the present work is to develop a fast hybrid…

Fluid Dynamics · Physics 2023-06-05 Jiannong Fang

In this article, we address the solution of advection-dominated flow problems by stabilised methods, by means of least-squares computed stabilised coefficients. As main methodological tool, we introduce a data-driven off-line/on-line…

Numerical Analysis · Mathematics 2022-07-29 Tomás Chacón Rebollo , Daniel Franco Coronil

In this work, we present an upscaled model for mixed dimensional coupled flow problem in fractured porous media. We consider both embedded and discrete fracture models (EFM and DFM) as fine scale models which contain coupled system of…

Numerical Analysis · Mathematics 2018-05-25 Maria Vasilyeva , Eric T. Chung , Wing Tat Leung , Valentin Alekseev

This paper introduces a novel distributed optimization framework for large-scale AC Optimal Power Flow (OPF) problems, offering both theoretical convergence guarantees and rapid convergence in practice. By integrating smoothing techniques…

Optimization and Control · Mathematics 2026-03-04 Xinliang Dai , Yuning Jiang , Yi Guo , Colin N. Jones , Moritz Diehl , Veit Hagenmeyer

Statistical properties of a local fluctuational fluxes measured at the plasma edge are investigated in the work. It's shown that the amplitudes increments of the local fluctuational fluxes decrease by power law. For approximation of…

Plasma Physics · Physics 2012-09-12 Viacheslav Saenko

We discuss an effective field theory (EFT) approach to the computation of fluctuation-induced interactions between particles bound to a thermally fluctuating fluid surface controlled by surface tension. By describing particles as points,…

Soft Condensed Matter · Physics 2015-06-12 Cem Yolcu , Ira Z. Rothstein , Markus Deserno

With the proliferation of distributed generation into distribution networks, the need to consider fault currents in the dispatch problem becomes increasingly relevant. This paper introduces a method for adding fault current constraints into…

Systems and Control · Electrical Eng. & Systems 2023-01-31 Jose E. Tabarez , Arthur K. Barnes , Adam Mate , Russell W. Bent

Density functional theory (DFT) is an efficient instrument for describing a wide range of nanoscale phenomena: wetting transition, capillary condensation, adsorption, etc. In this paper, we suggest a method for obtaining the equilibrium…

Computational Physics · Physics 2021-06-18 Yuriy Kanygin , Irina Nesterova , Pavel Lomovitskiy , Aleksey Khlyupin

In this paper, we present decomposition techniques for solving large-scale instances of the security-constrained optimal power flow (SCOPF) problem with primary response. Specifically, under each contingency state, we require that the nodal…

Optimization and Control · Mathematics 2019-10-10 Alexandre Velloso , Pascal Van Hentenryck , Emma S. Johnson

We propose a novel end-to-end trainable framework for the graph decomposition problem. The minimum cost multicut problem is first converted to an unconstrained binary cubic formulation where cycle consistency constraints are incorporated…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Jie Song , Bjoern Andres , Michael Black , Otmar Hilliges , Siyu Tang

Block Floating Point (BFP) arithmetic is currently seeing a resurgence in interest because it requires less power, less chip area, and is less complicated to implement in hardware than standard floating point arithmetic. This paper explores…

Numerical Analysis · Mathematics 2023-07-04 Nils Kohl , Stephen F. McCormick , Rasmus Tamstorf

Using Domain Decomposition (DD) algorithm on non--overlapping domains, we compare couplings of different discretisation models, such as Finite Element (FEM) and Reduced Order (ROM) models for separate subcomponents. In particular, we…

Numerical Analysis · Mathematics 2025-05-14 Ivan Prusak , Davide Torlo , Monica Nonino , Gianluigi Rozza

We present a paradigm for developing arbitrarily high order, linear, unconditionally energy stable numerical algorithms for gradient flow models. We apply the energy quadratization (EQ) technique to reformulate the general gradient flow…

Numerical Analysis · Mathematics 2020-07-15 Yuezheng Gong , Jia Zhao , Qi Wang

This paper introduces an Algebraic MultiScale method for simulation of flow in heterogeneous porous media with embedded discrete Fractures (F-AMS). First, multiscale coarse grids are independently constructed for both porous matrix and…

Numerical Analysis · Mathematics 2017-05-17 Matei Tene , Mohammed Saad Al Kobaisi , Hadi Hajibeygi

This paper proposes an anti-interference affine frequency division multiplexing (AFDM) system to ensure reliability and resource efficiency under malicious high-power interference originating from adversarial devices in high-mobility…

Information Theory · Computer Science 2025-12-18 Peng Yuan , Zulin Wang , Tao Luo , Yuanhan Ni

With more energy networks being interconnected to form integrated energy systems (IESs), the optimal energy flow (OEF) problem has drawn increasing attention. Extant studies on OEF models mostly utilize the finite difference method (FDM) to…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Binbin Chen , Wenchuan Wu , Qinglai Guo , Hongbin Sun

We propose numerical schemes for the approximate solution of problems defined on the edges of a one-dimensional graph. In particular, we consider linear transport and a drift-diffusion equations, and discretize them by extending Finite…

Numerical Analysis · Mathematics 2024-11-01 Beatrice Crippa , Anna Scotti , Andrea Villa

We study the problem of computing a minimum cut in a simple, undirected graph and give a deterministic $O(m \log^2 n \log\log^2 n)$ time algorithm. This improves both on the best previously known deterministic running time of $O(m \log^{12}…

Data Structures and Algorithms · Computer Science 2019-11-11 Monika Henzinger , Satish Rao , Di Wang

Compute-and-forward (CF) is a relaying strategy which allows the relay to decode a linear combination of the transmitted messages. This work studies the optimal power allocation problem for the CF scheme in fast fading channels for…

Information Theory · Computer Science 2024-11-18 Lanwei Zhang , Jamie Evans , Jingge Zhu

This paper proposes a new computational method for solving structured least squares problems that arise in the process of identification of coherent structures in fluid flows. It is deployed in combination with dynamic mode decomposition…

Numerical Analysis · Mathematics 2018-12-03 Zlatko Drmač , Igor Mezić , Ryan Mohr