Numerical approximation of generalized Newtonian fluids using Powell–Sabin–Heindl elements: I. theoretical estimates

In this paper we consider the numerical approximation of steady and unsteady generalized Newtonian fluid flows using divergence free finite elements generated by the Powell–Sabin–Heindl elements. We derive a priori and a posteriori finite element error estimates and prove convergence of the method of successive approximations for the steady flow case. A priori error estimates of unsteady flows are also considered. These results provide a theoretical foundation and supporting numerical studies are to be provided in Part II. Copyright © 2003 John Wiley & Sons, Ltd.     

The Hochschild class of the Chern character for semifinite spectral triples

We provide a proof of Connes’ formula for a representative of the Hochschild class of the Chern character for (p,∞)-summable spectral triples. Our proof is valid for all semifinite von Neumann algebras, and all integral p?1. We employ the minimum possible hypotheses on the spectral triples.     

Dispersion analysis of the least‐squares finite‐element shallow‐water system

The frequency or dispersion relation for the least‐squares mixed formulation of the shallow‐water equations is analysed. We consider the use of different approximation spaces corresponding to co‐located and staggered meshes, respectively. The study includes the effect of Coriolis, and the dispersion properties are compared analytically and graphically with those of the mixed Galerkin formulation. Numerical solutions of a test problem to simulate slow Rossby modes illustrate the theoretical results. Copyright © 2003 John Wiley & Sons, Ltd.     

Assembly of the hexameric Escherichia coli arginine repressor investigated by nano-electrospray ionization time-of-flight mass spectrometry

The arginine repressor (ArgR) from Escherichia coli regulates genes for L-arginine metabolism and is a required recombination factor for colE1 plasmid replication. Both functions require binding of L-arginine to the protein. In this work, nano-electrospray ionization time-of-flight mass spectrometry (nano-ESI-TOFMS) is used to study conformational and oligomeric states of intact ArgR and its isolated structural domains. In agreement with X-ray diffraction studies, it is shown that ArgR oligomerizes to form hexamers in both the presence and absence of L-arginine, and the basic unit of oligomerization appears to be the trimer. Higher-order assembly into dodecamers is also detected. The isolated C-terminal domain is found to associate into trimers and hexamers whereas the N-terminal domain is detected in its monomeric form. The observed species distributions suggest a role for the N-terminal domain in hexamer stabilization.     

Surface characterization of Pt electrodes using underpotential deposition of H and Cu: Part I. Pt(100)

This paper is the first in a series describing the in situ surface characterization of platinum electrodes using H and Cu deposited at underpotentials. The surface of a Pt(100) electrode pretreated by simple flame annealing and quenching in aqueous sulfuric acid is shown to contain a high concentration of defects such as vacancies and self-adsorbed Pt atoms. Adsorbed hydrogen is more strongly bound at these defects than on a uniform Pt(100) surface. Potential cycling in 1 M HCl produces a higher concentration of defects, while oxide formation and reduction in 0.5 M H₂SO₄ has the opposite effect. The nature of (100)-like sites at a polycrystalline platinum electrode is also discussed.