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 ...
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...
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...
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...
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...
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...
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...
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...
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 ...
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...