Electromagnetics - Modelling, Simulation, Control and Industrial Applications - Abstract
Otin, Ruben
This work presents a nodal-based finite element code in frequency domain called ERMES. The novelty of this computational tool rest on the formulation behind it. ERMES (emphElectric emphRegularized emphMaxwell emphEquations with emphSingularities) is the C implementation of a simplified version of the weighted regularized Maxwell equation method citeWRME-Costabel,SWRME-ROtin. This finite element formulation has the advantage of producing well-conditioned matrices citeNodalEdgePS,ERMES-SAR and the capacity of solving problems in the low (quasi-static) and high frequency regimens. As a consequence of this versatility, ERMES has been applied successfully to microwave engineering citeSWRME-ROtin, specific absorption rate computations citeERMES-SAR,ERMES-SARRFID, electromagnetic compatibility citeERMES-Zt and electromagnetic metal forming citeERMES-EMF. In this work we will describe the main features of ERMES and its formulation (peculiarities, comparative performance with edge-based formulations,etc...). Also, we will show how to use this numerical tool for computing electromagnetic fields in a wide variety of engineering applications. The version of ERMES described in this work (executable files, documentations and source code) is freely available under request to the author. beginthebibliography0 bibitemWRME-Costabel M. Costabel, M. Dauge, Weighted regularization of Maxwell equations in polyhedral domains, Numerische Mathematik 93 (2) (2002) 239-277. bibitemSWRME-ROtin R. Otin, Regularized Maxwell equations and nodal finite elements for electromagnetic field computations, Electromagnetics 30 (2010) 190-204. bibitemNodalEdgePS R. Otin, L. E. Garcia-Castillo, I. Martinez-Fernandez, D. Garcia- Donoro, Computational performance of a weighted regularized Maxwell equation finite element formulation, Progress In Electromagnetics Research 136 (2013) 61-77. bibitemERMES-SAR R. Otin and H. Gromat, Specific absorption rate computations with a nodal-based finite element formulation, Progress In Electromagnetics Research 128 (2012) 399-418. bibitemERMES-SARRFID R. Otin, Numerical study of the thermal effects induced by a RFID antenna in vials of blood plasma Progress In Electromagnetics Research Letters 22 (2011) 129-138. bibitemERMES-Zt R. Otin, J. Verpoorte and H. Schippers, A finite element model for the computation of the transfer impedance of cable shields, IEEE Transactions on Electromagnetic Compatibility 53 (2011) 950-958. bibitemERMES-EMF R. Otin, A numerical model for the search of the optimum frequency in electromagnetic metal forming, International Journal of Solids and Structures, In press (2013). endthebibliography