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作品数:822被引量:1506H指数:14
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Nonconforming Finite Elements for the -curlΔcurl and Brinkman Problems on Cubical Meshes
《Communications in Computational Physics》2023年第10期1332-1360,共29页Qian Zhang Min Zhang Zhimin Zhang 
supported in part by the National Natural Science Foundation of China grants NSFC 12131005 and NSAF U2230402.
We propose two families of nonconforming elements on cubical meshes:one for the -curlΔcurl problem and the other for the Brinkman problem.The element for the -curlΔcurl problem is the first nonconforming element on ...
关键词:Nonconforming elements -curlΔcurl problem Brinkman problem finite element de Rham complex Stokes complex 
Comparison of Lattice Boltzmann,Finite Element and Volume of Fluid Multicomponent Methods for Microfluidic Flow Problems and the Jetting of Microdroplets
《Communications in Computational Physics》2023年第3期912-936,共25页Karun P.N.Datadien Gianluca Di Staso Christian Diddens Herman M.A.Wijshoff Federico Toschi 
the Netherlands Organization for Scientific Research(NWO)research project High Tech Systems and Materials(HTSM),with project number 13912;the NWO and co-financers Canon Production Printing Holding B.V.,University of Twente and Eindhoven University of Technology for financial support.This work was carried out on the Dutch national e-infrastructure with the support of SURF Cooperative,project number 2021.035。
We show that the lattice Boltzmann method(LBM)based color-gradient model with a central moments formulation(CG-CM)is capable of accurately simulating the droplet-on-demand inkjetting process on a micrometer length sca...
关键词:Lattice Boltzmann method multiphase flow multicomponent flow inkjet printing 
Quantum Implementation of Numerical Methods for Convection-Diffusion Equations:Toward Computational Fluid Dynamics
《Communications in Computational Physics》2023年第2期425-451,共27页Bofeng Liu Lixing Zhu Zixuan Yang Guowei He 
NSFC Basic Science Center Program for”Multiscale Problems in Nonlinear Mechanics”(Grant No.11988102);National Natural Science Foundation of China(Grant No.12202454).
We present quantum numerical methods for the typical initial boundary value problems(IBVPs)of convection-diffusion equations in fluid dynamics.The IBVP is discretized into a series of linear systems via finite differe...
关键词:Quantum computing partial differential equations computational fluid dynamics finite difference finite element. 
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling
《Communications in Computational Physics》2022年第4期1083-1113,共31页Yang Xu Xiaofei Chen Wei Zhang Xiao Pan 
Project 41790465 supported by the National Natural Science Foundation of China;Project U1901602 supported by the National Natural Science Foundation of China,the Shenzhen Key Laboratory of Deep Offshore Oil and Gas Exploration Technology(Grant No.ZDSYS20190902093007855);the Shenzhen Science and Technology Program(Grant No.KQTD20170810111725321).
The discontinuous Galerkin finite element method(DG-FEM)is a highprecision numerical simulation method widely used in various disciplines.In this paper,we derive the auxiliary ordinary differential equation complex fr...
关键词:Multi-axial PML ADAPTIVE parallel computing computational seismology 
Time-Lapse 3-D Seismic Wave Simulation via the Generalized Multiscale Finite Element Method
《Communications in Computational Physics》2020年第6期401-423,共23页Yongchae Cho Richard L.Gibson,Jr. Hyunmin Kim Mikhail Artemyev Yalchin Efendiev 
support of Mega-grant of the Russian Federation Government(N 14.Y26.31.0013)。
Numerical solution of time-lapse seismic monitoring problems can be challenging due to the presence of finely layered reservoirs.Repetitive wave modeling using fine layered meshes also adds more computational cost.Con...
关键词:Fluid simulation time lapse Generalized multiscale finite element elastic wave 
Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials
《Communications in Computational Physics》2019年第1期135-154,共20页Wei Yang Jichun Li Yungqing Huang Bin He 
supported by NSFC Projects(11771371,11671340);Hunan Education Department Projects(15B236,YB2015B027);Hunan NSF(2017jj3304);NSFC Key Projects(91430213,91630205);NSF grant(DMS-1416742),Guangdong Provincial Engineering Technology Research Center for Data Science.
In this paper,we first develop the mathematical modeling equations for wave propagation in several transformation optics devices,including electromagnetic concentrator,rotator and splitter.Then we propose the correspo...
关键词:Maxwell’s equations finite element time-domain methods edge elements transfor-mation optics 
Multiscale Finite ElementMethods for Flows on Rough Surfaces
《Communications in Computational Physics》2013年第9期979-1000,共22页Yalchin Efendiev Juan Galvis M.Sebastian Pauletti 
supported by the US Army 62151-MA,DOE and NSF(DMS 0934837,DMS 0724704,and DMS 0811180);supported by Award No.KUS-C1-016-04,made by King Abdullah University of Science and Technology(KAUST).
In this paper,we present the Multiscale Finite Element Method(MsFEM)for problems on rough heterogeneous surfaces.We consider the diffusion equation on oscillatory surfaces.Our objective is to represent small-scale fea...
关键词:Multiscale finite elements on surfaces Laplace Beltrami resonance error harmonic maps 
Linear Scaling Discontinuous Galerkin Density Matrix Minimization Method with Local Orbital Enriched Finite Element Basis:1-D Lattice Model System
《Communications in Computational Physics》2013年第7期276-300,共25页Tiao Lu Wei Cai Jianguo Xin Yinglong Guo 
support of U.S.Army Research Office(grant number W911NF-11-1-0364);support of NSFC(grant number 11011130029)and of SRF for ROCS,SEM.
In the first of a series of papers,wewill study a discontinuous Galerkin(DG)framework for many electron quantum systems.The salient feature of this framework is the flexibility of using hybrid physics-based local orbi...
关键词:Density functional theory density matrix minimization discontinuous Galerkin method linear scaling method 
Parallel Algorithms and Software for Nuclear,Energy,and Environmental Applications.Part Ⅰ:Multiphysics Algorithms
《Communications in Computational Physics》2012年第8期807-833,共27页Derek Gaston Luanjing Guo Glen Hansen Hai Huang Richard Johnson Dana Knoll Chris Newman Hyeong Kae Park Robert Podgorney Michael Tonks Richard Williamson 
There is a growing trend within energy and environmental simulation to consider tightly coupled solutions to multiphysics problems.This can be seen in nuclear reactor analysis where analysts are interested in coupled ...
关键词:Multiphysics simulation Jacobian-free Newton Krylov finite element applications physics-based preconditioning 
Parallel Algorithms and Software for Nuclear,Energy,and Environmental Applications.Part Ⅱ:Multiphysics Software
《Communications in Computational Physics》2012年第8期834-865,共32页Derek Gaston Luanjing Guo Glen Hansen Hai Huang Richard Johnson Dana Knoll Chris Newman Hyeong Kae Park Robert Podgorney Michael Tonks Richard Williamson 
This paper is the second part of a two part sequence on multiphysics algorithms and software.The first[1]focused on the algorithms;this part treats the multiphysics software framework and applications based on it.Tigh...
关键词:Multiphysics simulation Jacobian-free Newton Krylov finite element applications physics-based preconditioning 
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