The main aim of this book is twofold. Firstly, it shows engineers
why it is useful to deal with, for example, Hilbert spaces,
imbedding theorems, weak convergence, monotone operators, compact
sets, when solving real-life technical problems. Secondly,
mathematicians will see the importance and necessity of dealing
with material anisotropy, inhomogeneity, nonlinearity and
complicated geometrical configurations of electrical devices, which
are not encountered when solving academic examples with the Laplace
operator on square or ball domains. Mathematical and numerical
analysis of several important technical problems arising in
electrical engineering are offered, such as computation of magnetic
and electric field, nonlinear heat conduction and heat radiation,
semiconductor equations, Maxwell equations and optimal shape design
of electrical devices. The reader is assumed to be familiar with
linear algebra, real analysis and basic numerical methods.
Audience: This volume will be of interest to mathematicians and
engineers whose work involves numerical analysis, partial
differential equations, mathematical modelling and industrial
mathematics, or functional analysis.
General
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