# On Modeling Antennas Using MoM-Based Algorithms: Wire-Grid versus Surface Triangulation
## 4 Discussion  
The high level and the considerable amount of the research carried out on the wire-grid and surface triangulation (triangle-grid) approaches from past to present prove their importance in the field of modeling antennas and the relevance of the conducted and planned investigations. In addition, the development of new software based on these approaches is no less important from developing them, even with the existence of more reliable software systems in the industry. This is explained by the fact that there is no such numerical method that can be the optimal choice for solving all electromagnetic problems and consequently there is no optimal system that can be the only system of choice, even if we are discussing different codes for the same numerical method. Therefore, evaluating which method or code is better, will be limited to the feature of interest regarding to the comparison made. It is worth noting that the algorithms in this work use meshing techniques that differ from other edge based adaptive ones from existing literature. Thus, we can say that in general, both wire-grid and triangle-grid approaches are good enough to be used for modeling antennas, and each of them has the opportunity and possibilities to be improved. Our code implementations of these approaches also demonstrated this idea. They proved their accuracy by giving acceptable results comparing to other codes with other numerical method, as well as comparing to the results calculated analytically and measured experimentally. They also proved their efficiency regarding to the computational costs consumed comparing to other codes, even at their current level of development. This in turn gives an idea about the unique capabilities that may be achieved in future after further efforts in developing and investigating the codes. And since we tried to evaluate their efficiency on the example of various structures with different complexity, in order to generalize our estimates and to expand the sectors they covered, we can highlight the following points. In general, Wire-Grid surpasses Triangle-Grid in the consumed computational costs, but it is more sensitive to the quality of the mesh (segmentation). This means that it has more limitations on the segment length, and it is difficult to determine the dependencies of its results on the meshing method used, even with adaptive one. On the other hand, this also means that Wire-Grid is more dynamic and it enables the user to be more dominant on the model design which can be very helpful in any investigation process. As for Triangle-Grid, it tends to be more accurate in calculations and easier to use since it does not require extra efforts that users spend in Wire-Grid on coding while building the antenna structure. However, the developed automatic mesh generator module increases the Wire-Grid capabilities and simplifies its use. But this was on the expense of increasing the consumed memory, due to the necessity of dealing with a bigger number of wires, which in fact are useless and have no effect on the antenna characteristics. Hence, this is a very good point to start with in further studies. For clarity, we tried to summarize all above points in Table 17, and compare them with those for FDTD. This evaluation is based on the authors experience and [10; 12; 39].