In this paper Monte Carlo Finite Element (MC FE) approximations for elliptic homogenization problems with random coefficients which oscillate on n ∈ N a-priori known, separated length scales are considered. The convergence of multilevel MC FE (MLMC FE) discretizations is analyzed. In particular, it is considered that the multilevel FE discretization resolves the finest physical length scale, bu...

The role of iron in two modes of integration into alumina catalysts was studied at 0.39 wt% Fe and tested in trichloroethylene combustion. One modified alumina was synthesized using the sol-gel method with Fe added in situ during hydrolysis; another modification was performed using calcined alumina, prepared using the sol-gel method and impregnated with Fe. Several characterization techniques w...

A method for speciation and determination of low levels of dissolved iron in rainwater was established by coupling reverse flow injection analysis with a 2-m liquid waveguide capillary cell and spectrophotometric detection. Ferrozine solution was injected into a sample stream to form an Fe(II)-ferrozine complex with Fe(II), and the absorbance of this complex was detected at both 562 nm and 625 ...

In this paper Monte Carlo Finite Element (MC FE) approximations for elliptic homogenization problems with random coefficients which oscillate on n ∈ N a-priori known, separated length scales are considered. The convergence of multilevel MC FE (MLMC FE) discretizations is analyzed. In particular, it is considered that the multilevel FE discretization resolves the finest physical length scale, bu...

In this study, we first present a classical finite element (FE) method for a two-dimensional (2D) viscoelastic wave equation and analyze the existence, stability, and convergence of the FE solutions. Then we establish an optimized FE extrapolating (OFEE) method based on a proper orthogonal decomposition (POD) method for the 2D viscoelastic wave equation and analyze the existence, stability, and...

We have measured dielectronic recombination (DR) resonance strengths and energies for carbon-like Fe xxi forming Fe xx and for boron-like Fe xxii forming Fe xxi via N 1⁄4 2 ! N 0 1⁄4 2 core excitations. All measurements were carried out using the heavy-ion Test Storage Ring at the Max-Planck-Institute for Nuclear Physics in Heidelberg, Germany. We have also calculated these resonance strengths ...

This paper describes the development and application of a novel method for the measurement of grain boundary electrical conductivity of rock at high temperature and pressure. In this method, the metal electrodes, the corresponding metal shielding case, and the sleeves are altered in order to appropriately adjust and monitor the oxygen fugacity in a sample cavity in a high-pressure apparatus. As...

A fertilizer, comprised of a mixture of steel slag and compost, was used to restore seaweed beds in barren coastal areas. Complex Fe(II) species, supplied by steel slag, play a significant role in supplying Fe(II) to coastal areas and stimulating seaweed growth. Seawater extractable organic matter (SWEOM) from compost is generally assumed to serve as a chelator of Fe(II) in the fertilizer. It i...

H-Point Standard Addition Method (HPSAM) was applied for the simultaneous determination of V(V) and Fe(III). The method is based on the complex formation of V(V) and Fe(III) with chromazurol S (CAS) in acidic media and in the presence of cetyltrimethylammonium bromide (CTAB) as a micellizing agent. Acidic media and the presence of a micellar system improve selectivity and sensitivity. Fe (III) ...