In this paper, we establish the partial Schauder estimates for the Kohn Laplace equation in the Heisenberg group based on the mean value theorem, the Taylor formula and a priori estimates for the derivatives of the Ne...In this paper, we establish the partial Schauder estimates for the Kohn Laplace equation in the Heisenberg group based on the mean value theorem, the Taylor formula and a priori estimates for the derivatives of the Newton potential.展开更多
This study used a two-step system generalized method of moments to examine the impact of the business environment in the Belt and Road countries on outward foreign direct investment(OFDI)of China while presenting a de...This study used a two-step system generalized method of moments to examine the impact of the business environment in the Belt and Road countries on outward foreign direct investment(OFDI)of China while presenting a deeper investigation into the spatial characteristics of OFDI through a spatial error model.The results revealed that the impact mentioned above varies with different investment motivations.If Chinese businesses are motivated by local consumer markets or seeking a human workforce to make an outward direct investment,they will choose countries with poor business environments.They will select countries with stable business environments for their natural resources or strategic assets.Significant spatial agglomeration exists in China's OFDI in the countries and regions along the routes,while substantial evidence is absent on the business environment investment effect with different motivations.Finally,relevant recommen-dations concluded according to the study.展开更多
In this paper, we present a posteriori error estimator for the nonconforming finite element approximation, including using Crouzeix–Raviart element and extended Crouzeix–Raviart element, of the Stokes eigenvalue pro...In this paper, we present a posteriori error estimator for the nonconforming finite element approximation, including using Crouzeix–Raviart element and extended Crouzeix–Raviart element, of the Stokes eigenvalue problem. With the technique of Helmholtz decomposition, we first give out a posteriori error estimator and prove it as the global upper bound and local lower bound of the approximation error. Then, by deleting a jump term in the indicator, another simpler but equivalent indicator is obtained. Some numerical experiments are provided to verify our analysis.展开更多
In this paper,Nodal discontinuous Galerkin method is presented to approxi-mate Time-domain Lorentz model equations in meta-materials.The upwind flux is cho-sen in spatial discrete scheme.Low-storage five-stage fourth-...In this paper,Nodal discontinuous Galerkin method is presented to approxi-mate Time-domain Lorentz model equations in meta-materials.The upwind flux is cho-sen in spatial discrete scheme.Low-storage five-stage fourth-order explicit Runge-Kutta method is employed in time discrete scheme.An error estimate of accuracy O(τ^(4)+h^(n))is proved under the L^(2)-norm,specially O(τ^(4)+h^(n+1))can be obtained.Numerical exper-iments for transverse electric(TE)case and transverse magnetic(TM)case are demon-strated to verify the stability and the efficiency of the method in low and higher wave frequency.展开更多
基金supported by the NSFC(11201486,11326153)supported by"the Fundamental Research Funds for the Central Universities(31541411213)"
文摘In this paper, we establish the partial Schauder estimates for the Kohn Laplace equation in the Heisenberg group based on the mean value theorem, the Taylor formula and a priori estimates for the derivatives of the Newton potential.
基金supported by National Social Science Foundation of China(No:19BTJ037)funded by Special Funding for Basic Operating Expenses of Universities in Zhejiang Province.
文摘This study used a two-step system generalized method of moments to examine the impact of the business environment in the Belt and Road countries on outward foreign direct investment(OFDI)of China while presenting a deeper investigation into the spatial characteristics of OFDI through a spatial error model.The results revealed that the impact mentioned above varies with different investment motivations.If Chinese businesses are motivated by local consumer markets or seeking a human workforce to make an outward direct investment,they will choose countries with poor business environments.They will select countries with stable business environments for their natural resources or strategic assets.Significant spatial agglomeration exists in China's OFDI in the countries and regions along the routes,while substantial evidence is absent on the business environment investment effect with different motivations.Finally,relevant recommen-dations concluded according to the study.
基金Supported by National Science Foundation of China(NSFC 91330202,11001259,11371026,11201501,11031006,11071265,2011CB309703,2010DFR00700)the National Center for Mathematics and Interdisciplinary Science,CAS+1 种基金the President Foundation of AMSS-CASthe Program for Innovation Research in Central University of Finance and Economics
文摘In this paper, we present a posteriori error estimator for the nonconforming finite element approximation, including using Crouzeix–Raviart element and extended Crouzeix–Raviart element, of the Stokes eigenvalue problem. With the technique of Helmholtz decomposition, we first give out a posteriori error estimator and prove it as the global upper bound and local lower bound of the approximation error. Then, by deleting a jump term in the indicator, another simpler but equivalent indicator is obtained. Some numerical experiments are provided to verify our analysis.
基金supported by NSFC.China(NOs.11201501,11571389)the Program for Innovation Research in Central University of Finance and Economics+1 种基金The second author is Supported by NSFC.China(Grant Nos.11471296,11101384)the third author is supported in part by Defense Industrial Technology Development Program(B1520133015).
文摘In this paper,Nodal discontinuous Galerkin method is presented to approxi-mate Time-domain Lorentz model equations in meta-materials.The upwind flux is cho-sen in spatial discrete scheme.Low-storage five-stage fourth-order explicit Runge-Kutta method is employed in time discrete scheme.An error estimate of accuracy O(τ^(4)+h^(n))is proved under the L^(2)-norm,specially O(τ^(4)+h^(n+1))can be obtained.Numerical exper-iments for transverse electric(TE)case and transverse magnetic(TM)case are demon-strated to verify the stability and the efficiency of the method in low and higher wave frequency.
