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By Michal Krízek, Pekka Neittaanmäki

The most target of this publication is twofold. to begin with, it indicates engineers why it really is worthy to house, for instance, Hilbert areas, imbedding theorems, vulnerable convergence, monotone operators, compact units, while fixing real-life technical difficulties. Secondly, mathematicians will see the significance and necessity of facing fabric anisotropy, inhomogeneity, nonlinearity and intricate geometrical configurations of electric units, which aren't encountered whilst fixing educational examples with the Laplace operator on sq. or ball domain names. Mathematical and numerical research of a number of vital technical difficulties coming up in electric engineering are provided, corresponding to computation of magnetic and electrical box, nonlinear warmth conduction and warmth radiation, semiconductor equations, Maxwell equations and optimum form layout of electric units. The reader is believed to be accustomed to linear algebra, actual research and simple numerical equipment. viewers: This quantity could be of curiosity to mathematicians and engineers whose paintings includes numerical research, partial differential equations, mathematical modelling and business arithmetic, or practical research.

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