Title
A Posteriori Error Estimates for Maxwell's Eigenvalue Problem.
Abstract
We introduce a residual error indicator for the Nédélec finite element approximation of the eigenmodes of the Maxwell cavity problem. By using the known equivalence with a mixed problem we prove reliability and efficiency of the error indicator. Numerical results confirm the optimal behavior of an adaptive scheme based on the error indicator.
Year
DOI
Venue
2019
10.1007/s10915-018-0808-5
J. Sci. Comput.
Keywords
Field
DocType
A posteriori error estimate, Maxwell’s eigenvalue problem, Nédélec finite elements
Residual,Mathematical analysis,A priori and a posteriori,Computational mathematics,Finite element method,Software,Equivalence (measure theory),Numerical analysis,Eigenvalues and eigenvectors,Mathematics
Journal
Volume
Issue
ISSN
78
2
1573-7691
Citations 
PageRank 
References 
1
0.37
8
Authors
4
Name
Order
Citations
PageRank
Daniele Boffi118938.50
Lucia Gastaldi28121.33
R. Rodríguez37219.18
Ivana Sebestová420.74