The domination problem of graphs is an important issue in the field of graph theory.This paper mainly considers the Italian domination number of the strong product between two paths.By constructing recursive Italian d...The domination problem of graphs is an important issue in the field of graph theory.This paper mainly considers the Italian domination number of the strong product between two paths.By constructing recursive Italian dominating functions,the upper bound of its Italian domination number is obtained,and then a partition method is proposed to prove its lower bound.Finally,this paper yields a sharp bound for the Italian domination number of the strong product of paths.展开更多
In this paper, the stable problem for differential-algebraic systems is investigated by a convex op-timization approach. Based on the Lyapunov functional method and the delay partitioning approach, some delay and its ...In this paper, the stable problem for differential-algebraic systems is investigated by a convex op-timization approach. Based on the Lyapunov functional method and the delay partitioning approach, some delay and its time-derivative dependent stable criteria are obtained and formulated in the form of simple linear matrix inequalities (LMIs). The obtained criteria are dependent on the sizes of delay and its time-derivative and are less conservative than those produced by previous approaches.展开更多
In this paper,we propose a new partitioned approach to compute fluidstructure interaction(FSI)by extending the original direct-forcing technique and integrating it with the immersed boundarymethod.The fluid and struct...In this paper,we propose a new partitioned approach to compute fluidstructure interaction(FSI)by extending the original direct-forcing technique and integrating it with the immersed boundarymethod.The fluid and structural equations are calculated separately via their respective disciplinary algorithms,with the fluid motion solved by the immersed boundary method on a uniform Cartesian mesh and the structural motion solved by a finite element method,and their solution data only communicate at the fluid-structure interface.This computational framework is capable of handling FSI problemswith sophisticated structures described by detailed constitutive laws.The proposed methods are thoroughly tested through numerical simulations involving viscous fluid flow interacting with rigid,elastic solid,and elastic thin-walled structures.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11551002)The Natural Science Foundation of Qinghai Province(Grant No.2019-ZJ-7093).
文摘The domination problem of graphs is an important issue in the field of graph theory.This paper mainly considers the Italian domination number of the strong product between two paths.By constructing recursive Italian dominating functions,the upper bound of its Italian domination number is obtained,and then a partition method is proposed to prove its lower bound.Finally,this paper yields a sharp bound for the Italian domination number of the strong product of paths.
文摘In this paper, the stable problem for differential-algebraic systems is investigated by a convex op-timization approach. Based on the Lyapunov functional method and the delay partitioning approach, some delay and its time-derivative dependent stable criteria are obtained and formulated in the form of simple linear matrix inequalities (LMIs). The obtained criteria are dependent on the sizes of delay and its time-derivative and are less conservative than those produced by previous approaches.
文摘In this paper,we propose a new partitioned approach to compute fluidstructure interaction(FSI)by extending the original direct-forcing technique and integrating it with the immersed boundarymethod.The fluid and structural equations are calculated separately via their respective disciplinary algorithms,with the fluid motion solved by the immersed boundary method on a uniform Cartesian mesh and the structural motion solved by a finite element method,and their solution data only communicate at the fluid-structure interface.This computational framework is capable of handling FSI problemswith sophisticated structures described by detailed constitutive laws.The proposed methods are thoroughly tested through numerical simulations involving viscous fluid flow interacting with rigid,elastic solid,and elastic thin-walled structures.
