Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism

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Focusing on a mathematical and computational framework, the book addresses practical electromagnetic problems like scattering and cavity issues. It introduces isogeometric analysis, emphasizing efficient higher-order simulations while minimizing geometric errors. The text establishes the quasi-optimal approximation properties of de Rham sequence trace spaces and demonstrates the stability of isogeometric discretization for electric field integral equations. It also combines boundary element methods with a novel eigenvalue solver, showcasing successful numerical experiments and detailing the BEMBEL software's design and user interface.