The atomistic to continuum interface for quasicontinuum energies exhibits nonzero forces under uniform strain that have been called ghost forces. In this paper, we prove for a linearization of a one-dimensional quasicontinuum energy around a uniform strain that the effect of the ghost forces on the displacement nearly cancels and has a small effect on the error away from the interface. We give ...

The determination of displacement vectors is an important task in the context of temporal image sequence analysis, as well as in stereoscopic vision. The relations between images taken from an image sequence or a stereo pair are conceptually represented by a displacement vector field which establishes a pairwise correspondence between points in both regarded images. Most approaches for the dete...

This paper presents an error estimation framework for a mixed displacement–pressure finite element method for nearly incompressible elasticity. The proposed method is based on Variational Multiscale (VMS) concepts, wherein the displacement field is decomposed into coarse scales that can be resolved by a given finite element mesh and fine scales that are beyond the resolution capacity of the mes...

This paper presents the first real-time discretization-error-driven adaptive finite element approach for corotational elasticity problems involving strain localization. We propose a hexahedron-based finite element method, combined with a posteriori error estimation driven local h-refinement, for simulating soft tissue deformation. This enables to control the local error and global error level i...

introduction:  the  success  of  hyperthermia  depends  on  the  accuracy  of  the  temperature  monitoring in the tumor and the surrounding normal tissue. in this study, the temperature changes  were determined by computing the speckle displacement in the ultrasound digital images. speckle  tracking algorithm was used to compute the displacement.  materials and methods: the experiment was perf...

Introduction:  The  success  of  hyperthermia  depends  on  the  accuracy  of  the  temperature  monitoring in the tumor and the surrounding normal tissue. In this study, the temperature changes  were determined by computing the speckle displacement in the ultrasound digital images. Speckle  tracking algorithm was used to compute the displacement.  Materials and Methods: The experiment was perf...

As core elements of photoelectric displacement measurement, installation coaxiality and rotation parallelism are the main factors affecting measurement accuracy. When there is a processing error or an offset in process structural elements, plane grating disk will be tilted, which seriously affects accuracy angular measurements. In this study, caused by inclination was analyzed method to elimina...

The axis of the non-diffracting beam produced by an axicon is very stable and can be adopted as the datum line to measure the spatial straightness error in continuous working distance, which may be short, medium or long. Though combining the non-diffracting beam datum-line with LVDT displace detector, a new straightness error measurement method is developed. Because the Non-diffracting beam dat...