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In this research a continuous model for resource allocations in a queuing system is considered and a local prediction on the system behavior is developed. As a result we obtain a set of possible cases, some of which lead to quite clear…

最优化与控制 · 数学 2022-09-13 Tikhon Bogachev

A high-order combined interpolation/finite element technique is developed for solving the coupled groundwater-surface water system that governs flows in karst aquifers. In the proposed high-order scheme we approximate the time derivative…

数值分析 · 数学 2025-05-28 Eric Ngondiep , Areej A. Binsultan , Ibtisam M. Aldawish

We consider convection-diffusion problems in time-dependent domains and present a space-time finite element method based on quadrature in time which is simple to implement and avoids remeshing procedures as the domain is moving. The…

数值分析 · 数学 2017-07-25 Sara Zahedi

In this paper, we consider multipoint flux mixed finite element discretizations for slightly compressible Darcy flow in porous media. The methods are formulated on general meshes composed of triangles, quadrilaterals, tetrahedra or…

数值分析 · 数学 2018-11-07 Andrés Arrarás , Laura Portero

This paper is concerned with the numerical solution of compressible fluid flow in a fractured porous medium. The fracture represents a fast pathway (i.e., with high permeability) and is modeled as a hypersurface embedded in the porous…

数值分析 · 数学 2022-02-15 Phuoc-Toan Huynh , Yanzhao Cao , Thi-Thao-Phuong Hoang

The purpose of the present work is to expand substantially the type of control and estimation problems that can be addressed following the paradigm of Schr\"odinger bridges, by incorporating termination (killing) of stochastic flows.…

最优化与控制 · 数学 2024-06-24 Asmaa Eldesoukey , Olga Movilla Miangolarra , Tryphon T. Georgiou

Topology optimization methods face serious challenges when applied to structural design with fluid-structure interaction (FSI) loads, specially for high Reynolds fluid flow. This paper devises an explicit boundary method that employs…

An evolutionary multi-objective aerodynamic design optimization method using the computational fluid dynamics (CFD) simulations incorporating deep neural network (DNN) to reduce the required computational time is proposed. In this approach,…

流体动力学 · 物理学 2023-05-01 Yukito Tsunoda , Akira Oyama

In this paper, a steady axisymmetric MHD flow of two dimensional in- compressible fluids has been investigated. Reproducing Kernel Hilbert Space Method (RKHSM) is implemented to obtain solution of reduced fourth order nonlinear boundary…

数值分析 · 数学 2013-09-23 Mustafa Inc , Ali Akgül

In this paper, we investigate a chemotaxis-fluid interaction model governed by the incompressible Navier-Stokes equations coupled with the classical Keller-Segel chemotaxis system. To numerically solve this coupled system, we develop a…

数值分析 · 数学 2025-12-01 Chenyang Li , Ping Lin , Haibiao Zheng

Capillary phenomena are involved in many industrial processes, especially those dealing with composite manufacturing. However, their modelling is still challenging. Therefore, a finite element setting is proposed to better investigate this…

流体动力学 · 物理学 2017-11-28 Julien Bruchon , Yujie Liu , Nicolas Moulin

We study the problem of self-supervised 3D scene flow estimation from real large-scale raw point cloud sequences, which is crucial to various tasks like trajectory prediction or instance segmentation. In the absence of ground truth scene…

计算机视觉与模式识别 · 计算机科学 2024-08-14 Patrik Vacek , David Hurych , Tomáš Svoboda , Karel Zimmermann

The vortex method is a common numerical and theoretical approach used to implement the motion of an ideal flow, in which the vorticity is approximated by a sum of point vortices, so that the Euler equations read as a system of ordinary…

偏微分方程分析 · 数学 2017-07-26 Diogo Arsénio , Emmanuel Dormy , Christophe Lacave

Non-equilibrium effects play a vital role in high-speed and rarefied gas flows and the accurate simulation of these flow regimes are far beyond the capability of near-local-equilibrium Navier-Stokes-Fourier equations. Eu proposed…

流体动力学 · 物理学 2016-11-07 Zhongzheng Jiang , Weifang Chen , Wenwen Zhao

Quantum coherence inherently affects the dynamics and the performances of a quantum machine. Coherent control can, at least in principle, enhance the work extraction and boost the velocity of evolution in an open quantum system. Using…

量子物理 · 物理学 2018-12-10 Vasco Cavina , Andrea Mari , Alberto Carlini , Vittorio Giovannetti

Computational design optimization in fluid dynamics usually requires to solve non-linear partial differential equations numerically. In this work, we explore a Bayesian optimization approach to minimize an object's drag coefficient in…

计算工程、金融与科学 · 计算机科学 2017-12-12 Stephan Eismann , Stefan Bartzsch , Stefano Ermon

The present article proposes a partitioned Dirichlet-Neumann algorithm, that allows to address unique challenges arising from a novel mixed-dimensional coupling of very slender fibers embedded in fluid flow using a regularized mortar-type…

数值分析 · 数学 2023-12-04 Nora Hagmeyer , Matthias Mayr , Alexander Popp

This paper presents a systematic approach for computing local solutions to motion planning problems in non-convex environments using numerical optimal control techniques. It extends the range of use of state-of-the-art numerical optimal…

最优化与控制 · 数学 2017-10-03 Kristoffer Bergman , Daniel Axehill

In this work, we introduce an iterative linearised finite element method for the solution of Bingham fluid flow problems. The proposed algorithm has the favourable property that a subsequence of the sequence of iterates generated converges…

数值分析 · 数学 2021-09-14 Pascal Heid , Endre Süli

We consider implementational aspects of the mixed finite element method for a special class of nonlinear problems. We establish the equivalence of the hybridized formulation of the mixed finite element method to a nonconforming finite…

数值分析 · 数学 2016-10-19 Peter Knabner , Gerhard Summ