This post is also available in: עברית (Hebrew)One of the main reasons we haven’t built a fully operational, powerful quantum computer that could perform large-scale calculations is that we don’t have the technology to keep quantum computers cool – the qubits in quantum computers require temperatures of about -270°C to function. To this end, researchers […]

Nano-structured thermoelectric materials allow energy to be reclaimed from waste heat, turning potential heat loss into electricity. High efficiency thermoelectric devices are being developed.

To facilitate processing of signals in the high-speed optical domain, there must be a way to store and retrieve. Converting them to acoustic phonons may offer a solution to this...

The ever-more-humble carbon nanotube may be just the device to make solar panels—and anything else that loses energy through heat—far more efficient.

This book presents a comprehensive mathematical and computational approach for solving electromagnetic problems of practical relevance, such as electromagnetic scattering and the cavity problems. After an in-depth introduction to the mathematical foundations of isogeometric analysis, which discusses how to conduct higher-order simulations efficiently and without the introduction of geometrical errors, the book proves quasi-optimal approximation properties for all trace spaces of the de Rham sequence, and demonstrates inf-sup stability of the isogeometric discretisation of the electric field integral equation (EFIE). Theoretical properties and algorithms are described in detail. The algorithmic approach is, in turn, validated through a series of numerical experiments aimed at solving a set of electromagnetic scattering problems. In the last part of the book, the boundary element method is combined with a novel eigenvalue solver, a so-called contour integral method. An algorithmis presented, together with a set of successful numerical experiments, showing that the eigenvalue solver benefits from the high orders of convergence offered by the boundary element approach. Last, the resulting software, called BEMBEL (Boundary Element Method Based Engineering Library), is reviewed: the user interface is presented, while the underlying design considerations are explained in detail. Given its scope, this book bridges an important gap between numerical analysis and engineering design of electromagnetic devices.