Mathematical Foundations of Computational Electromagnetism

Nonfiction, Science & Nature, Science, Physics, Electricity, Mathematics, Applied
Cover of the book Mathematical Foundations of Computational Electromagnetism by Franck Assous, Patrick Ciarlet, Simon Labrunie, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Franck Assous, Patrick Ciarlet, Simon Labrunie ISBN: 9783319708423
Publisher: Springer International Publishing Publication: June 9, 2018
Imprint: Springer Language: English
Author: Franck Assous, Patrick Ciarlet, Simon Labrunie
ISBN: 9783319708423
Publisher: Springer International Publishing
Publication: June 9, 2018
Imprint: Springer
Language: English

This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The focus then moves to well‐posedness results. The relevant function spaces are introduced, with an emphasis on boundary and topological conditions. General variational frameworks are defined for static and quasi-static problems, time-harmonic problems (including fixed frequency or Helmholtz-like problems and unknown frequency or eigenvalue problems), and time-dependent problems, with or without constraints. They are then applied to prove the well-posedness of Maxwell’s equations and their simplified models, in the various settings described above. The book is completed with a discussion of dimensionally reduced models in prismatic and axisymmetric geometries, and a survey of existence and uniqueness results for the Vlasov-Poisson, Vlasov-Maxwell and MHD equations.

The book addresses mainly researchers in applied mathematics who work on Maxwell’s equations. However, it can be used for master or doctorate-level courses on mathematical electromagnetism as it requires only a bachelor-level knowledge of analysis.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The focus then moves to well‐posedness results. The relevant function spaces are introduced, with an emphasis on boundary and topological conditions. General variational frameworks are defined for static and quasi-static problems, time-harmonic problems (including fixed frequency or Helmholtz-like problems and unknown frequency or eigenvalue problems), and time-dependent problems, with or without constraints. They are then applied to prove the well-posedness of Maxwell’s equations and their simplified models, in the various settings described above. The book is completed with a discussion of dimensionally reduced models in prismatic and axisymmetric geometries, and a survey of existence and uniqueness results for the Vlasov-Poisson, Vlasov-Maxwell and MHD equations.

The book addresses mainly researchers in applied mathematics who work on Maxwell’s equations. However, it can be used for master or doctorate-level courses on mathematical electromagnetism as it requires only a bachelor-level knowledge of analysis.

More books from Springer International Publishing

Cover of the book Parenting and Children's Resilience in Military Families by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Ureteral Stone Management by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book New perspectives on career counseling and guidance in Europe by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Intestinal Polyposis Syndromes by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Teacher Professional Learning in International Education by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Innovative Approaches to Tourism and Leisure by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Quantitative Methods for Food Safety and Quality in the Vegetable Industry by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Prioritization in Medicine by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Algorithm Engineering by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Moral Strata by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Open Innovation Business Modeling by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Welfare State Reforms Seen from Below by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Imaging for Patient-Customized Simulations and Systems for Point-of-Care Ultrasound by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Topological Structures in Ferroic Materials by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Cooperative and Networking Strategies in Small Business by Franck Assous, Patrick Ciarlet, Simon Labrunie
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy