## Group Dziekonski

Group Description |
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 ------- 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. |
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Displaying

**all 5**collection matricesId | Name | Group | Rows | Cols | Nonzeros | Kind | Date | Download File |
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2388 | dielFilterV3real | Dziekonski | 1,102,824 | 1,102,824 | 89,306,020 | Electromagnetics Problem | 2011 | MATLAB Rutherford Boeing Matrix Market |

2387 | dielFilterV3clx | Dziekonski | 420,408 | 420,408 | 32,886,208 | Electromagnetics Problem | 2011 | MATLAB Rutherford Boeing Matrix Market |

2386 | dielFilterV2real | Dziekonski | 1,157,456 | 1,157,456 | 48,538,952 | Electromagnetics Problem | 2011 | MATLAB Rutherford Boeing Matrix Market |

2385 | dielFilterV2clx | Dziekonski | 607,232 | 607,232 | 25,309,272 | Electromagnetics Problem | 2011 | MATLAB Rutherford Boeing Matrix Market |

2329 | gsm_106857 | Dziekonski | 589,446 | 589,446 | 21,758,924 | Electromagnetics Problem | 2010 | MATLAB Rutherford Boeing Matrix Market |