We present a new high order finite element method for the discretization of partial differential equations on stationary smooth surfaces which are implicitly described as the zero level of a level set function. The discretization is based on a trace finite element technique. The higher discretization accuracy is obtained by using an isoparametric mapping of the volume mesh, based on the level s...

Consider the tangential trace of a vector polynomial on the surface of a tetrahedron. We construct an extension operator that extends such a trace function into a polynomial on the tetrahedron. This operator can be continuously extended to the trace space of H(curl ). Furthermore, it satisfies a commutativity property with an extension operator we constructed in Part I of this series. Such exte...

PIXE (Proton Induced X-ray Emission) is a well-known method for elemental analyses of specimens in applied studies. In this paper, we report results of an application of PIXE in trace-element analysis of normal and vitrified carnations in vitro culture. Experiments were performed to study the vitrification in connection with the trace elements in carnation tissues. About two hundred PIXE spectr...

We report laser ablation inductively coupled plasma mass spectrometry measurements of the trace element contents two naturally occurring quasicrystalline minerals, Al63Cu24Fe13 icosahedrite and Al71Ni24Fe5 decagonite, from their type locality in Khatyrka meteorite. The isolated quasicrystal fragments were mounted separately any matrix are larger than beam diameter. When elements sorted order vo...