Computation of Maxwell eigenvalues on curvilinear domains using hp-version Nédélec elements

2003 ◽  
pp. 219-231 ◽  
Author(s):  
M. Ainsworth ◽  
J. Coyle
Keyword(s):  
Maxwell Eigenvalues

Computing maxwell eigenvalues by using higher order edge elements in three dimensions

2003 ◽  
Vol 39 (5) ◽  
pp. 2149-2153 ◽  
Author(s):  
M. Ainsworth ◽  
J. Coyle ◽  
P.D. Ledger ◽  
K. Morgan
Keyword(s):  
Higher Order ◽  
Three Dimensions ◽  
Edge Elements ◽  
Maxwell Eigenvalues

scholarly journals Maxwell eigenvalues and discrete compactness in two dimensions

2000 ◽  
Vol 40 (4-5) ◽  
pp. 589-605 ◽  
Author(s):  
L. Demkowicz ◽  
P. Monk ◽  
Ch. Schwab ◽  
L. Vardapetyan
Keyword(s):  
Two Dimensions ◽  
Discrete Compactness ◽  
Maxwell Eigenvalues

A NONCONFORMING PENALTY METHOD FOR A TWO-DIMENSIONAL CURL–CURL PROBLEM

2009 ◽  
Vol 19 (04) ◽  
pp. 651-668 ◽  
Author(s):  
SUSANNE C. BRENNER ◽  
FENGYAN LI ◽  
LI-YENG SUNG
Keyword(s):  
Numerical Experiments ◽  
Vector Fields ◽  
Convergence Rates ◽  
Two Dimensional ◽  
Weakly Continuous ◽  
Graded Meshes ◽  
Optimal Convergence Rates ◽  
Maxwell Eigenvalues ◽  
Theoretical Results ◽  
Convergence Of The Scheme

A nonconforming finite element method for a two-dimensional curl–curl problem is studied in this paper. It uses weakly continuous P1 vector fields and penalizes the local divergence. Two consistency terms involving the jumps of the vector fields across element boundaries are also included to ensure the convergence of the scheme. Optimal convergence rates (up to an arbitrary positive ∊) in both the energy norm and the L2 norm are established on graded meshes. This scheme can also be used in the computation of Maxwell eigenvalues without generating spurious eigenmodes. The theoretical results are confirmed by numerical experiments.

Sign in / Sign up

Export Citation Format

Share Document