Phase-accuracy comparisons and improved far-field estimates for 3-D edge elements on tetrahedral meshes

Edge-element methods have proved very effective for 3-D electromagnetic computations and are widely used on unstructured meshes. However, the accuracy of standard edge elements can be criticised because of their low order. This paper analyses discrete dispersion relations together with numerical propagation accuracy to determine the effect of tetrahedral shape on the phase accuracy of standard 3-D edgeelement approximations in comparison to other methods. Scattering computations for the sphere obtained with edge elements are compared with results obtained with vertex elements, and a new formulation of the far-field integral approximations for use with edge elements is shown to give improved cross sections over conventional formulations.

Optionality in L2 grammars: the acquisition of SV/VS contrast in Spanish

This study examines the L2 acquisition of word order variation in Spanish by three groups of L1 English learners in an instructed setting. The three groups represent learners at three different L2 proficiencies: beginners, intermediate and advanced. The aim of the study is to analyse the acquisition of word order variation in a situation where the target input is highly ambiguous, since two apparent optional forms exist in the target grammar, in order to examine how the optionality is disambiguated by learners from the earlier stages of learning to the more advanced. Our results support the hypothesis that an account based on a discourse-pragmatics deficit cannot satisfactorily explain learners’ non-targetlike representations in the contexts analysed in our study.