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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.
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Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism, Felix Wolf
- Language
- Released
- 2020
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- Title
- Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism
- Language
- English
- Authors
- Felix Wolf
- Publisher
- Springer International Publishing
- Released
- 2020
- Format
- Hardcover
- Pages
- 148
- ISBN13
- 9783030619381
- Category
- Mathematics, Nature in general
- Description
- 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.