HOFEM: A higher order finite element method electromagnetic simulator

This document presents a new electromagnetic in-house parallel EM simulator named HOFEM (Higher Order Finite Element Method). The simulator makes use of some of the research developments on the area made within the Group of Radiofrequency, Electromagnetism, Microwaves and Antennas (GREMA) of the Universidad Carlos III de Madrid to which the authors belong to. HOFEM makes use of a weak formulation based on double curl vector wave equation discretized with the higher-order isoparametric curl-conforming tetrahedral (and prisms) finite element rigorous implementations of Nédélec's first family of elements. A non-standard mesh truncation technique, FE-IIEE (Finite Element - Iterative Integral Equation Evaluation) for open region problems provides an arbitrarily exact absorbing boundary condition while retaining the original sparse structure of the FEM matrices. The simulator provides a multi-platform (Linux & Windows) user friendly graphical user interface. Remote job submission to HPC clusters is supported by integrating an in-house software tool developed for this purpose.

[1]  Magdalena Salazar-Palma,et al.  Iterative and self-adaptive finite-elements in electromagnetic modeling , 1998 .

[2]  M. Salazar-Palma,et al.  Second-order Ndlec tetrahedral element for computational electromagnetics , 2000 .

[3]  Carretera de Valencia,et al.  The finite element method in electromagnetics , 2000 .

[4]  Tapan K. Sarkar,et al.  Fully coupled hybrid‐method FEM/high‐frequency technique for the analysis of 3D scattering and radiation problems , 2005 .

[5]  Walter S. Brainerd,et al.  The Fortran 2003 Handbook: The Complete Syntax, Features and Procedures , 2008 .

[6]  Luis E. Garcia-Castillo,et al.  Fully Coupled Multi-Hybrid Finite Element Method–Method of Moments–Physical Optics Method for Scattering and Radiation Problems , 2010 .

[7]  Luis E. Garcia-Castillo,et al.  Convergence Study of a Non-Standard Schwarz Domain Decomposition Method for Finite Element Mesh Truncation in Electro-Magnetics , 2011 .

[8]  Jeanne C. Adams Fortran 2003 Handbook , 2003 .

[9]  M. Salazar-Palma,et al.  Fully Coupled Multi-Hybrid FEM-PO/PTD-UTD Method for the Analysis of Scattering and Radiation Problems , 2006, 2006 12th Biennial IEEE Conference on Electromagnetic Field Computation.

[10]  R. Fernandez-Recio,et al.  Fully Coupled Multi-Hybrid FEM-PO/PTD-UTD Method for the Analysis of Radiation Problems , 2007, IEEE Transactions on Magnetics.

[11]  R. Fernandez-Recio,et al.  Fully Coupled Hybrid FEM-UTD Method Using NURBS for the Analysis of Radiation Problems , 2008, IEEE Transactions on Antennas and Propagation.

[12]  Tapan K. Sarkar,et al.  Iterative and Self-Adaptive Finite-Elements in Electromagnetic Modeling , 1998 .

[13]  M. Salazar-Palma,et al.  Third-order Nedelec curl-conforming finite element , 2002 .

[14]  F. Alessandri,et al.  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 , 2004, IEEE Transactions on Microwave Theory and Techniques.

[15]  R. Fernandez-Recio,et al.  Convergence Study of a Non-Standard Schwarz Domain Decomposition Method for Finite Element Mesh Truncation in Electromagnetics , 2007, 2007 International Conference on Electromagnetics in Advanced Applications.

[16]  Damian Rouson,et al.  Scientific Software Design: The Object-Oriented Way , 2011 .