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Well, you can be moderately more confident that the normal mesh is giving better results than the coarser mesh. You might want to also try models with different settings of discretization (linear, quadratic, etc.), or use a slow but stable iterative solver (if you aren't already), like GMRES with the SOR vector preconditioner, along with a relatively fine mesh, and then even consider a higher level of discretization (if you have enough memory), to achieve high accuracy. Regardless, use your finest mesh settings on the patch and its local substrate, but leave the surrounding space/volume at coarser mesh settings, to keep the computational size under control. Finally, also bear in mind that if you are modeling just one simple patch antenna, but are already running out of memory, then you are either using your memory rather wastefully in your model or have a very limited-capability computer. If the latter, you may want to think about upgrading your computer hardware.

Thank you for your answer Robert.

From your answer, I understand that I have to go to the details of the solver :( . This is bad news for me, because I thought I could simulate antennas by using classical instructions as in Application Gallery (https://www.comsol.com/models).

By the way my computer configuration is as follows: 64 Bit Intel Core i5 4590 CPU @ 3.30 GHz 4 GB RAM (DDR3)

You're welcome. By the way, I recommend you install a lot more RAM, if you can.

I'll try. Thanks again.