Consistent Dirichlet Boundary Conditions for Numerical Solution of Moving Boundary Problems

We consider the imposition of Dirichlet boundary conditions in the finite element modelling of moving boundary problems in one and two dimensions for which the total mass is prescribed. A modification of the standard linear finite element test space allows the boundary conditions to be imposed strongly whilst simultaneously conserving a discrete mass. The validity of the technique is assessed for a specific moving mesh finite element method, although the approach is more general. Numerical comparisons are carried out for mass-conserving solutions of the porous medium equation with Dirichlet boundary conditions and for a moving boundary problem with a source term and time-varying mass.

The engineer under FDIC's conditions of contract for construction

FIDIC has over the years produced standard forms of contracts for the international procurement of projects. A source of continuing criticism of its Red Book concerns the duality in the traditional role of the engineer as the employer's agent and as an independent third party holding the balance fairly between the employer and the contractor. In response to this and other criticisms FIDIC produced a replacement for it in 1999. The role of the engineer under the new Red Book is critically examined in the light of relevant case law, expert commentaries and feedback from two multidisciplinary workshops with international participation. The examination identified three major changes: (1) a duty to act impartially has been replaced by a duty to make fair determination of certain matters; (2) it is open to parties to allow greater control of the engineer by the employer by stating in the appropriate part of the contract powers the engineer must not exercise without the employer's approval; (3) there is provision for a Dispute Adjudication Board (DAB) to which disputes may be referred. Although the duality has not been eliminated completely, the contract is structured flexibly enough to support those who wish to contract on the basis of the engineer acting solely as the agent of the employer.

A high frequency boundary element method for scattering by convex polygons with impedance boundary conditions

We consider scattering of a time harmonic incident plane wave by a convex polygon with piecewise constant impedance boundary conditions. Standard finite or boundary element methods require the number of degrees of freedom to grow at least linearly with respect to the frequency of the incident wave in order to maintain accuracy. Extending earlier work by Chandler-Wilde and Langdon for the sound soft problem, we propose a novel Galerkin boundary element method, with the approximation space consisting of the products of plane waves with piecewise polynomials supported on a graded mesh with smaller elements closer to the corners of the polygon. Theoretical analysis and numerical results suggest that the number of degrees of freedom required to achieve a prescribed level of accuracy grows only logarithmically with respect to the frequency of the incident wave.

Correcting for local oscillator phase offset in a DVB-T compliant receiver under multipath conditions

In 1997, the UK implemented the worlds first commercial digital terrestrial television system. Under the ETS 300 744 standard, the chosen modulation method, COFDM, is assumed to be multipath resilient. Previous work has shown that this is not necessarily the case. It has been shown that the local oscillator required for demodulation from intermediate-frequency to baseband must be very accurate. This paper shows that under multipath conditions, standard methods for obtaining local oscillator phase lock may not be adequate. This paper demonstrates a set of algorithms designed for use with a simple local oscillator circuit which will allow correction for local oscillator phase offset to maintain a low bit error rate with multipath present.

Necessary and sufficient conditions for realizability of point processes

We give necessary and sufficient conditions for a pair of (generali- zed) functions 1(r1) and 2(r1, r2), ri 2X, to be the density and pair correlations of some point process in a topological space X, for ex- ample, Rd, Zd or a subset of these. This is an infinite-dimensional version of the classical “truncated moment” problem. Standard tech- niques apply in the case in which there can be only a bounded num- ber of points in any compact subset of X. Without this restriction we obtain, for compact X, strengthened conditions which are necessary and sufficient for the existence of a process satisfying a further re- quirement—the existence of a finite third order moment. We general- ize the latter conditions in two distinct ways when X is not compact.

An introduction to the Chinese Evaluation Standard for the indoor thermal environment

Designing for indoor thermal environmental conditions is one of the key elements in the energy efficient building design process. This paper introduces a development of the Chinese national Evaluation Standard for indoor thermal environments (Evaluation Standard). International standards including the ASHRAE55, ISO7730, DIN EN, and CIBSE Guide-A have been reviewed and referenced for the development of the Evaluation Standard. In addition, over 28,000 subjects participated in the field study from different climate zones in China and over 500 subjects have been involved in laboratory studies. The research findings reveal that there is a need to update the Chinese thermal comfort standard based on local climates and people's habitats. This paper introduces in detail the requirements for the thermal environment for heated and cooled buildings and free-running buildings in China.

Bank loan terms and conditions: is there a macro effect?

We examine whether macroeconomic factors contain significant information for bank loan contracting terms and conditions (T&Cs), over and above that of standard firm-specific or country-level institutional factors. Our estimation is based on a seemingly unrelated mixed-processes methodology that accommodates two salient data properties: (i) the fact that loan contract terms are determined jointly as a single lending contract, and (ii) the fact that the elements of loan T&Cs are generated by different distributional formats. Our findings indicate that cross-country variation accounts for a significant portion of observed variation in loan T&Cs. In addition, macroeconomic fundamentals significantly explain the “package” of loan T&Cs offered to corporate borrowers, with this effect being distinct from any influence that T&Cs receive from firm-specific factors, and also from country-specific institutional factors.