In this paper, the bisection of the local mesh refinement in self adaptive finite element is applied to the obstacle problem of elliptic variational inequalities .We try to find the approximated region of the contact in the obstacle problem efficiently .Numerical examples are given for the obstacle problem. Key-Words: obstacle problem, variational inequalities, self adaptive finite element, bis...

This paper proposes a novel vector field navigation method by using the velocity vector of a robot to avoid obstacles in dynamic environment. Shifting vector and virtual obstacle are proposed to derive the center of repulsive field which makes the robot move away from the obstacle: The shifting vector is derived from the velocity vector of the robot and the obstacle and the virtual obstacle is ...

Compelling evidence supports contributions of glutamate receptor overactivation ('excitotoxicity') to neurodegeneration in both acute conditions, such as stroke, and chronic neurodegenerative conditions, such as amyotrophic lateral sclerosis. However, anti-excitotoxic therapeutic trials, which have generally targeted highly Ca2+ permeable NMDA-type glutamate channels, have to date failed to dem...

Studies using the alphavirus Semliki Forest virus have indicated that the viral E1 fusion protein forms two types of pore: fusion pores and ion-permeable pores. The formation of ion-permeable pores has not been generally accepted, partly because it was not evident how the protein might form these different pores. Here it is proposed that the choice of the target membrane determines whether a fu...

The obstacle problem is a linearized version of the problem of stretching an elastic membrane over an obstacle. One of its central features is that the solution will divide the original domain into a set of points where the membrane lies strictly above the obstacle and satisfies a partial differential equation, and its complement, where the membrane touches the obstacle. The fact that these set...

Analytical studies are carried out to investigate groundwater head changes in a coastal aquifer system in response to tidal fluctuations. The system consists of an unconfined aquifer, a semi-confined aquifer and a semi-permeable confining unit between them. An exact analytical solution is derived to investigate the influences of both leakage and storage of the semi-permeable layer on the tide-i...