High order vector finite element method in electromagnetics

The matrices came from analysis of a 9-th order microwave
combline filter with second order (LT\QN) vector finite elements
with different mesh quality. The matrices were used as an
example in our paper [1].

- gsm_106857 - real symmetric matrix (589446 x 589446) and
    21758924 nonzero elements. First 98577 unknowns corresponds
    to lowest level (CT\LN) base functions.

All matrices are sparse and come with right-hand-sides.

[1] GPU Acceleration of Multilevel Solvers for Analysis of
Microwave Components with Finite Element Method, A. Dziekonski,
A. Lamecki, A., and M. Mrozowski, M., IEEE Microwave and
Wireless Components Letters, vol 20, number 12,
Dec 2010.  http://dx.doi.org/10.1109/LMWC.2010.2089974

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The dielFilter* matrices came from analysis of a 4th-pole
dielectric resonator [4] generated with Finite Element Method.
The tetrahedral mesh of the structure was generated with the
Netgen mesher [2].  The matrices were used as an example in
our paper [3].

dielFilterV2clx - complex symmetric matrix (607,232 x 607,232),
    25,309,272 nonzero (real) and 728,900 nonzero (imag) elements.
    First 109,108 unknowns correspond to lowest level base
    functions.

dielFilterV2real - real symmetric matrix (1,157,456 x 1,157,456)
    and 48,538,952 nonzero elements.  First 209,432 unknowns
    correspond to lowest level base functions.

dielFilterV3clx - complex symmetric matrix (420,408 x 420,408),
    32,886,208 nonzero (real) and 3,706,513 (imag) elements. First
    24,716 unknowns correspond to lowest level base functions,
    next 116,152 unknowns correspond to the second level.

dielFilterV3real - real symmetric matrix (1,102,824 x 1,102,824)
    and 89,306,020 nonzero elements. First 66,353 unknowns
    correspond to lowest level base functions, next 305,729
    unknowns correspond to the  second level.

All matrices are sparse and come with right-hand-sides.

[2] J. Schoberl, "NETGEN An advancing front 2D/3D-mesh
generator based on abstract rules," Computing and Visualization
in Science, vol. 1, No. 1, pp.  41-52, July 1997

[3] A. Dziekonski, A. Lamecki, M. Mrozowski, Tuning A
Hybrid GPU-CPU V-cycle Multilevel Preconditioner for Solving
Large Real and Complex Systems of FEM Equations.

[4] F. Alessandri, M. Chiodetti, A. Giugliarelli; D. Maiarelli,
G. Martirano, D. Schmitt, L. Vanni and F. Vitulli.  The
electric-field Integral-equation method for the analysis and
design of a class of rectangular cavity filters loaded by
dielectric and metallic cylindrical pucks, Microwave Theory
and Techniques, IEEE Transactions on, vol. 52, no 8, pp.
1790-1797, Aug. 2004.