In this paper, we propose an extended mixed finite element method for elliptic interface problems. By adding some stabilization terms, present a approximation form based on Brezzi-Douglas-Marini space and the piecewise constant function space, show that discrete inf-sup is independent of how intersects triangulation. Furthermore, derive optimal convergence holds location relative to mesh. Final...

There is a wide range of virtual reality (VR) applications that benefit from physically based modeling, such as assembly simulation, robotics, training and teaching (e.g., medical, military, sports) and entertainment. The dynamics of rigid bodies is well understood and several open source as well as commercial physics engines supporting articulated rigid bodies and particle systems are availabl...

Abstract Crack defects produced during the operation of proton exchange membrane fuel cells (PEMFCs) have a significant impact on their service life. One common approach to extend working time is embed self-healing microcapsules in repair defects. In this study, we use extended finite element method (XFEM) investigate capture and control cracks by doped numerically simulate crack propagation pa...

this research work is devoted to the development of a mathematical model for the simulation of the flow of polymeric melts through the die region of extruders. a set of governing equations are solved using finite element method. standard galerkin technique is used in conjunction with the mixed scheme to solve the flow equation. due to the non-linear nature of global equations, the picard iterat...

This paper presents the implementation of eXtended Finite Element Method (XFEM) in general-purpose commercial software COMSOL Multiphysics for first time. An enrichment strategy is proposed, consistent with structure software. To this end, each set functions, an additional Solid Mechanics module incorporated into numerical framework, coupled compatible modifications to internal variables. The L...