Implicit a posteriori error estimates for the Maxwell equations

Share/Save/Bookmark

Izsák, Ferenc and Harutyunyan, Davit and Vegt, Jaap J.W. van der (2008) Implicit a posteriori error estimates for the Maxwell equations. Mathematics of Computation, 77 (263). pp. 1355-1386. ISSN 0025-5718

open access
[img]
Preview
PDF
427kB
Abstract:An implicit a posteriori error estimation technique is presented and analyzed for the numerical solution of the time-harmonic Maxwell equations using Nédélec edge elements. For this purpose we define a weak formulation for the error on each element and provide an efficient and accurate numerical solution technique to solve the error equations locally. We investigate the well-posedness of the error equations and also consider the related eigenvalue problem for cubic elements. Numerical results for both smooth and non-smooth problems, including a problem with reentrant corners, show that an accurate prediction is obtained for the local error, and in particular the error distribution, which provides essential information to control an adaptation process. The error estimation technique is also compared with existing methods and provides significantly sharper estimates for a number of reported test cases.
Item Type:Article
Copyright:© 2008 American Mathematical Society
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:
Link to this item:http://purl.utwente.nl/publications/65317
Official URL:http://dx.doi.org/10.1090/S0025-5718-08-02046-2
Export this item as:BibTeX
EndNote
HTML Citation
Reference Manager

 

Repository Staff Only: item control page

Metis ID: 255136