This talk will give global existence and global-in-time boundedness in a coupled chemotaxis and Navier-Stokes system with quasilinear diffusion and position dependent sensitivity in 2D domains.
We present a numerical homogenization method for the Helmholtz Equation using the FE-HMM framework.We first consider composite materials where the wave speed oscillates rapidly on a microscopic length
Superconvergence and a posteriori error estimators of recovery type are analyzed for the 4-node hybrid stress quadrilateral finite element method proposed by Pian and Sumihara(1984)for linear elastici
We consider the approximation of elliptic eigenvalue problem with an immersed interface.The main aim of this paper is to prove the stability and convergence of an immersed finite element method(IFEM)f
This paper has explored a weak form of the 3D time-harmonic Maxwell equations,and by mimicking this weak form we have developed a new finite element method by employing H1-conforming nodal-continuous