Finite element methods for maxwell's equations / Peter MONK / Oxford [U.S.A.] : Clarendon press (2003)

Public ISBD Aucun avis sur cette notice. Faire une suggestion d'achat Titre : Finite element methods for maxwell's equations Type de document : texte imprimé Auteurs : Peter MONK, Auteur Editeur : Oxford [U.S.A.] : Clarendon press Année de publication : 2003 Importance : 450 p. Présentation : ill. Format : 24 cm. ISBN/ISSN/EAN : 978-0-19-850888-5 Note générale : Index 446-450 p. Langues : Anglais (eng) Catégories : MATHÉMATIQUES:Algébre Index. décimale : 04-03 Algébre Résumé : Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell’s equations is now an increasingly important tool in science and engineering. Parallel to the increasing use of numerical methods in computational electromagnetism, there has also been considerable progress in the mathematical understanding of the properties of Maxwell’s equations relevant to numerical analysis. The aim of this book is to provide an up-to-date and sound theoretical foundation for finite element methods in computational electromagnetism. The emphasis is on finite element methods for scattering problems that involve the solution of Maxwell’s equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell’s equations is the main focus of the book. The analysis involves a complete justification of the discrete de Rham diagram and discrete compactness of edge elements. The numerical methods are justified for Lipschitz polyhedral domains that can cause strong singularities in the solution. The book ends with a short introduction to inverse problems in electromagnetism. SOMMAIRE: Mathematical models of electromagnetism Sobolev spaces vector function spaces and regularity Variational theory for the cavity problem Finite elements on tetrahedra Finite elements on hexahedra Finite element methods for the cavity problem Topics concerning finite elements Classical scattering theory The scattering problem using Calderon maps Scattering by a bounded inhomogeneity Scattering by a buried object Algorithmic development Inverse problems Appendices Index Finite element methods for maxwell's equations [texte imprimé] / Peter MONK, Auteur . - Oxford [U.S.A.] : Clarendon press, 2003 . - 450 p. : ill. ; 24 cm. ISBN : 978-0-19-850888-5 Index 446-450 p. Langues : Anglais (eng) Catégories : MATHÉMATIQUES:Algébre Index. décimale : 04-03 Algébre Résumé : Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell’s equations is now an increasingly important tool in science and engineering. Parallel to the increasing use of numerical methods in computational electromagnetism, there has also been considerable progress in the mathematical understanding of the properties of Maxwell’s equations relevant to numerical analysis. The aim of this book is to provide an up-to-date and sound theoretical foundation for finite element methods in computational electromagnetism. The emphasis is on finite element methods for scattering problems that involve the solution of Maxwell’s equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell’s equations is the main focus of the book. The analysis involves a complete justification of the discrete de Rham diagram and discrete compactness of edge elements. The numerical methods are justified for Lipschitz polyhedral domains that can cause strong singularities in the solution. The book ends with a short introduction to inverse problems in electromagnetism. SOMMAIRE: Mathematical models of electromagnetism Sobolev spaces vector function spaces and regularity Variational theory for the cavity problem Finite elements on tetrahedra Finite elements on hexahedra Finite element methods for the cavity problem Topics concerning finite elements Classical scattering theory The scattering problem using Calderon maps Scattering by a bounded inhomogeneity Scattering by a buried object Algorithmic development Inverse problems Appendices Index

Réservation

Réserver ce document

Exemplaires(3)

Code-barres	type de document	numéro d'inventaire	Cote	Support	Localisation	Section	Disponibilité
00001000503563	04-03-404	Livre	Magazin	Documentaires	Disponible		185983
00001000666915	04-03-404	Livre	Magazin	Documentaires	Disponible		202591
00001000444651	04-03-404	Livre	Salle 1	Documentaires	Exclu du prêt		202592

---

1 (1 - 1 / 1) Par page : 25 50 100 200