Jump to ContentJump to Main Navigation
Finite Element Methods for Maxwell's Equations$
Users without a subscription are not able to see the full content.

Peter Monk

Print publication date: 2003

Print ISBN-13: 9780198508885

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198508885.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 16 January 2021

Scattering by a Bounded Inhomogeneity

Scattering by a Bounded Inhomogeneity

(p.280) 11 Scattering by a Bounded Inhomogeneity
Finite Element Methods for Maxwell's Equations

Peter Monk

Oxford University Press

This chapter continues the approximation of the field scattered by a bounded object. In this case, a penetrable scatterer (i.e., not a perfect conductor) is considered and the analysis of the previous chapter is extended by considering the effect of discretizing the Calderon map. A Lagrange multiplier on the artificial boundary is used to couple the field exterior to the artificial sphere to the finite element method inside the sphere. This allows a decoupling of the exterior and interior problems. The discrete problem is shown to be well posed, and the convergence of the resulting finite element and Lagrange multiplier method is verified using the collective compactness approach first used in Chapter 7.

Keywords:   penetrable scatterer, Calderon map, Lagrange multiplier, error estimate

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .