supported by the Natural ScienceFoundation of Shandong Province(ZR2021MA019)。
In this paper a mixed finite element-characteristic mixed finite element method is discussed to simulate an incompressible miscible Darcy-Forchheimer problem.The flow equation is solved by a mixed finite element and t...
The work is supported by the National Natural Science Foundation of China(No.11871441);Beijing Natural Science Foundation(No.1192003).
In this paper,we consider the energy conserving numerical scheme for coupled nonlinear Klein-Gordon equations.We propose energy conserving finite element method and get the unconditional superconvergence resultO(h^(2)...
In this study,the effect of different sampling rates(i.e.observation recording interval)on the Precise Point Positioning(PPP)solutions in terms of accuracy was investigated.For this purpose,a field test was carried ou...
Discontinuous deformation analysis(DDA)has been widely applied for the simulation of block systems that have many discontinuous surfaces.The penalty method is utilized to ensure that there are no penetrations between ...
supported by National Natural Science Foundation of China(Grant Nos.10971059,11071265 and 11171232);the Funds for Creative Research Groups of China(Grant No.11021101);the National Basic Research Program of China(Grant No.2011CB309703);the National Center for Mathematics and Interdisciplinary Sciences,Chinese Academy of Sciences;the Program for Innovation Research in Central University of Finance and Economics
To reduce computational cost,we study some two-scale finite element approximations on sparse grids for elliptic partial differential equations of second order in a general setting.Over any tensor product domain ?R^d w...
supported by the National Natural Science Foundation of China under Grant Nos.11104293 and 61308021
The combination of deep wet etching and a magneto-rheological finishing (MRF) process is investigated to simultaneously improve laser damage resistance of a fused-silica surface at 355 nm. The subsequently deposited...
In this paper we present a first supercloseness analysis for higher-order Galerkin FEM applied to a singularly perturbed convection-diffusion problem.Using a solution decomposition and a special representation of our ...
This work was supported by the State Key Laboratory of Synthetical Automation for Process Industries Fundamental Research Funds 2013ZCX02;the National Natural Science Funds of China 11371081
We study the enhancement of accuracy,by means of the convolution postprocessing technique,for discontinuous Galerkin(DG)approximations to hyperbolic problems.Previous investigations have focused on the superconvergenc...
In this paper, we focused on numerical solutions of carcinogenesis mutations models that are based on reaction-diffusion systems and Lotka-Volterra food chains. We consider the case with one and two-stages of mutation...
supported by National Natural Science Foundation of China(Grant No.10971074);Foundation for Talent Introduction of Guangdong Provincial University,Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2008);Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20114407110009)
In this paper,we investigate the superconvergence property of the numerical solution to a quadratic elliptic control problem by using mixed finite element methods.The state and co-state are approximated by the order k...