Focuses on a study which determined the use of the global convergences of the domain decomposition methods with Lagrangian multiplier and nonmatching grids in solving the second order elliptic boundary value problems....Focuses on a study which determined the use of the global convergences of the domain decomposition methods with Lagrangian multiplier and nonmatching grids in solving the second order elliptic boundary value problems. Background on domain decomposition and global superconvergence; Correction scheme and estimates; Numerical examples.展开更多
Let (R, m) be a local GCD domain. R is called a U 2 ring if there is an element u ∈ m ? m2 such that R/(u) is a valuation domain and R u is a Bézout domain. In this case u is called a normal element of R. In thi...Let (R, m) be a local GCD domain. R is called a U 2 ring if there is an element u ∈ m ? m2 such that R/(u) is a valuation domain and R u is a Bézout domain. In this case u is called a normal element of R. In this paper we prove that if R is a U 2 ring, then R and R[x] are coherent; moreover, if R has a normal element u and dim(R/(u)) = 1, then every finitely generated projective module over R[X] is free.展开更多
According to the characteristic of Grid geographical information system (GridGIS), data distribution, heterogeneity and diversity in the grid environment, combining the high demand for shared resources and the purpose...According to the characteristic of Grid geographical information system (GridGIS), data distribution, heterogeneity and diversity in the grid environment, combining the high demand for shared resources and the purpose to realize unified and efficient management and sharing of distributed and mass resources, this paper proposed a grid GIS application building program on a number of peer-to-peer global Managers designs. This paper discussed the building process of the application domain, the selection criteria of application domain manager, the database design of application domain, and every service function module design of application domain. The integration of the application domain builds the three-tier management system of the node, the application domain, and the global management. The spatial query tests of distributed environment have shown that, the application domain is established to manage and share the distributed resources efficiently, and enhance the business processing functions in the grid environment.展开更多
In this paper, we study the global existence and uniqueness of strong solutions for the Baer-Nunziato two-phase flow model in a bounded domain with a no-slip boundary. The global existence and uniqueness of strong sol...In this paper, we study the global existence and uniqueness of strong solutions for the Baer-Nunziato two-phase flow model in a bounded domain with a no-slip boundary. The global existence and uniqueness of strong solutions are obtained when the initial value is near the equilibrium state in H<sup>2</sup> (Ω). Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods.展开更多
Focuses on the construction of domain decomposition methods (DDM) with non-matching grids based on mixed finite element methods for the unilateral problem. Information on DDM with nonmatching grids; Discussion on doma...Focuses on the construction of domain decomposition methods (DDM) with non-matching grids based on mixed finite element methods for the unilateral problem. Information on DDM with nonmatching grids; Discussion on domain decomposition; Details on error estimates.展开更多
In this paper,we study the large time behavior of solutions to a class of fast diffusion equations with nonlinear boundary sources on the exterior domain of the unit ball.We are interested in the critical global expon...In this paper,we study the large time behavior of solutions to a class of fast diffusion equations with nonlinear boundary sources on the exterior domain of the unit ball.We are interested in the critical global exponent q_o and the critical Fujita exponent q_c for the problem considered,and show that q_o=q_c for the multidimensional Non-Newtonian polytropic filtration equation with nonlinear boundary sources,which is quite different from the known results that q_o〈q_c for the onedimensional case;moreover,the value is different from the slow case.展开更多
The reconstruction problem for elliptic voids located in the regular (equilateral) triangle is studied. A known point source is applied to the boundary of the domain, and it is assumed that the input data is obtained ...The reconstruction problem for elliptic voids located in the regular (equilateral) triangle is studied. A known point source is applied to the boundary of the domain, and it is assumed that the input data is obtained from the free-surface input data over a certain finite-length interval of the outer boundary. In the case when the boundary contour of the internal object is unknown, we propose a new algorithm to reconstruct its position and size on the basis of the input data. The key specific character of the proposed method is the construction of a special explicit-form Green's function satisfying the boundary condition over the outer boundary of the triangular domain. Some numerical examples demonstrate good stability of the proposed algorithm.展开更多
Let R be a domain and let Rwg be the w-global transform of R. In this note it is shown that if R is a Mori domain, then the t-dimension formula t-dim（Rwg） = t-dim（R） - 1 holds.
This paper addresses the regularity and finite dimensionality of the global attractor for the plate equation on the unbounded domain. The existence of the attractor in the phase space has been established in an earlie...This paper addresses the regularity and finite dimensionality of the global attractor for the plate equation on the unbounded domain. The existence of the attractor in the phase space has been established in an earlier work of the author. It is shown that the attractor is actually a bounded set of the phase space and has finite fractal dimensionality.展开更多
基金This research was supported by National Science Foundation grant 19971050 and the 973 grant numberG1998030420.
文摘Focuses on a study which determined the use of the global convergences of the domain decomposition methods with Lagrangian multiplier and nonmatching grids in solving the second order elliptic boundary value problems. Background on domain decomposition and global superconvergence; Correction scheme and estimates; Numerical examples.
基金supported by the National Natural Science Foundation of China (Grant No. 10671137)the Ph. D. Programs Foundation of Ministry of Education of China (Grant No. 20060636001)
文摘Let (R, m) be a local GCD domain. R is called a U 2 ring if there is an element u ∈ m ? m2 such that R/(u) is a valuation domain and R u is a Bézout domain. In this case u is called a normal element of R. In this paper we prove that if R is a U 2 ring, then R and R[x] are coherent; moreover, if R has a normal element u and dim(R/(u)) = 1, then every finitely generated projective module over R[X] is free.
文摘According to the characteristic of Grid geographical information system (GridGIS), data distribution, heterogeneity and diversity in the grid environment, combining the high demand for shared resources and the purpose to realize unified and efficient management and sharing of distributed and mass resources, this paper proposed a grid GIS application building program on a number of peer-to-peer global Managers designs. This paper discussed the building process of the application domain, the selection criteria of application domain manager, the database design of application domain, and every service function module design of application domain. The integration of the application domain builds the three-tier management system of the node, the application domain, and the global management. The spatial query tests of distributed environment have shown that, the application domain is established to manage and share the distributed resources efficiently, and enhance the business processing functions in the grid environment.
文摘In this paper, we study the global existence and uniqueness of strong solutions for the Baer-Nunziato two-phase flow model in a bounded domain with a no-slip boundary. The global existence and uniqueness of strong solutions are obtained when the initial value is near the equilibrium state in H<sup>2</sup> (Ω). Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods.
基金NSFC grant number 19971050 and by 973 grant number G1998030420.
文摘Focuses on the construction of domain decomposition methods (DDM) with non-matching grids based on mixed finite element methods for the unilateral problem. Information on DDM with nonmatching grids; Discussion on domain decomposition; Details on error estimates.
基金The Fundamental Research Funds for the Central Universities and the NSF(11071100) of China
文摘In this paper,we study the large time behavior of solutions to a class of fast diffusion equations with nonlinear boundary sources on the exterior domain of the unit ball.We are interested in the critical global exponent q_o and the critical Fujita exponent q_c for the problem considered,and show that q_o=q_c for the multidimensional Non-Newtonian polytropic filtration equation with nonlinear boundary sources,which is quite different from the known results that q_o〈q_c for the onedimensional case;moreover,the value is different from the slow case.
文摘The reconstruction problem for elliptic voids located in the regular (equilateral) triangle is studied. A known point source is applied to the boundary of the domain, and it is assumed that the input data is obtained from the free-surface input data over a certain finite-length interval of the outer boundary. In the case when the boundary contour of the internal object is unknown, we propose a new algorithm to reconstruct its position and size on the basis of the input data. The key specific character of the proposed method is the construction of a special explicit-form Green's function satisfying the boundary condition over the outer boundary of the triangular domain. Some numerical examples demonstrate good stability of the proposed algorithm.
基金Supported by the National Natural Science Foundation of China (Grant No. 10671137)the Research Foun-dation for Doctor Programme (Grant No. 20060636001)
文摘Let R be a domain and let Rwg be the w-global transform of R. In this note it is shown that if R is a Mori domain, then the t-dimension formula t-dim（Rwg） = t-dim（R） - 1 holds.
基金Project Supported by the Scientific Research Fund of Zhejiang Provincial Education Department(No.Y200804289)the Natural Science Foundation of Ningbo City(No.2010A610102)the K.C.Wong Magna Fund in Ningbo University
文摘This paper addresses the regularity and finite dimensionality of the global attractor for the plate equation on the unbounded domain. The existence of the attractor in the phase space has been established in an earlier work of the author. It is shown that the attractor is actually a bounded set of the phase space and has finite fractal dimensionality.
