ERMES: A nodal-based finite element code for electromagnetic simulations in frequency domain

• Published in: Computer physics communications 2013-11, Vol.184 (11), p.2588-2595
• Main Author: Otin, Ruben
• Format: Article
• Language: English
• Subjects: Computation; Computational electromagnetics; Computer simulation; Electrostatics and electromagnetics; Finite element analysis (02.70.Dh); Finite element method; Frequency domains; Mathematical analysis; Mathematical models; Maxwell equation; Nodal elements; Summaries; Time-harmonic fields; Weighted regularized Maxwell equations
• ISSN: 0010-4655; 1879-2944
• DOI: 10.1016/j.cpc.2013.06.010

In this work we present a new finite element code in frequency domain called ERMES. The novelty of this computational tool rests on the formulation behind it. ERMES is the C++ implementation of a simplified version of the weighted regularized Maxwell equation method. This finite element formulation has the advantage of producing well-conditioned matrices 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, antenna design, electromagnetic compatibility and eddy currents problems. This paper describes the main features of ERMES and explains how to use this numerical tool for computing electromagnetic fields in frequency domain. Program title: ERMES Catalogue identifier: AEPV_v1_0 Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEPV_v1_0.html Program obtainable from: CPC Program Library, Queen’s University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 223528 No. of bytes in distributed program, including test data, etc.: 35954099 Distribution format: tar.gz Programming language: C++. Computer: Any computer with Microsoft Windows (32-bits or 64-bits) installed. Operating system: Microsoft Windows 32-bits or 64-bits. RAM: Problem dependent. See [1] for examples of computational performance. Classification: 10. External routines: GiD [5] is used for geometrical modeling, data input, meshing and visualization of results. Nature of problem: Time-harmonic Maxwell equations. Solution method: Finite element formulation based on the weighted regularized Maxwell equation method [2, 1, 3, 4]. Additional comments: !!! The distribution file for this program is approximately 35 Mbytes and therefore is not delivered directly when the download or Email is requested. Instead a html file giving details of how the program can be obtained is sent. !!! Running time: Problem dependent (see [1]). References:[1]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.[2]R. Otin, Regularized Maxwell equations and nodal finite elements for electro-magnetic field computations, Electromagnetics 30 (2010) 190–204.[3]M. Costabel, M. Dauge, Weighted regular